1. A mcq ques has 4 options.choosing correct option a student cn get 3marks. chossing incorrect option incurs negetive marks so dat if a student choose randomly his xpected score will b 0.suppose a studnt succesfully succesfully elminated 2 incorrect option his xpected score if he choose a option randomly from the remaining option 1)1.00 2)1.50 3)00 4)3 2.a circular board of radius 1 foot is at a distance of 20 feet from you. you throw a dart at it hi ts the dartboard at some point Q in the circle. what is the probability that Q is closer to the center of the circle than the periphery? a)0.75 b)1 c)0.25 d)0.5 3.alok and bhanu play the following min-max game.given the expression n=19+x*(y-z),where n=19+x*(y-z),where x,y and z are variables representing single digits(0 to 9),alok would like to maximize N while bhanu would like to minimize it. towards this end,alok chooses a single digit number and bhanu substitutes this for a variable of her choice(x,y,z).alok choice(x,y,z).alok then chooses the next value and bhanu,the variable to substitute the value.fina lly alok proposes the value for the remaining variable.assuming variable.assuming both play to their optimal strategies,the value at the end of the game would be 4. After the typist writes 40 letters and addresses 40 envelopes,she inserts the letters randomly into the envelopes(1 letter per envelope).what is the probability that exactly 1 letter is inserted in an improper envelope? 5. the pacelength p is the distance between the rear of two consecutive footprints. footprints. for men , the formula, n/p=144 gives approximate relationship relationship between n and p where n= no. of steps per min and p= pacelength in meters. Bernard knows his pacelength is 164cm. The formula appliies to Bernard's walking. calculate Bernard's walking speed in kmph.
6.Smita was makin 1 design .....(again some nonsence)....size of larger cube to be made is 5*5*5........using smaller cubes of 1*1*1....she created solid larger cube ..den she d ecided to make hollow cube... den hw many 1*1*1 cubes rqd to make hollow larger cube 7.A person, who decided to go to weakened trip should not exceed 8 hours driving in a day. Average speed of forward journey is 40 m/h. Due to traffic in Sundays, the return journey average speed is 30 m/h. How far he can select a picnic spot? (A) 120 miles miles (B) between 120 and 140 miles miles (C) 160 miles 8.Inspired By Fibonacci Series Sangeet Decided To Create His Own Series Which Is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63? A) 202 B) 31 C) 76 D) 49 9.A can do work in 36 days. B can do the work in 72 days and c can do work in 78 days. the three take turns working.i.e A works on the 1st day. B works on the 2nd day, C on the 3rd day and so on. which day will they finish the work? 1) 55th day 2) 54th 54th day 3) 17th day 4) 19th day 10.The sum of the squares of two no is 12 and their sum is 15.Find the product of the two no? 11.Smita Was Making A Cube With D imensions 5*5*5 Using 1*1*1 Cubes. What Is The Number Of Cubes Needed To Make A Hollow Cube Looking Of The Same Shape? A) 98 B) 104 C) 100 D) 61 12)The difference between two no is 9 and the pr oduct of the two is 14.What is the square of their sum? 13.A 2 digit number ab is 6 times the sum of the digits.find a^b a)625 b)1024 c)81 d) data insufficient
14.The bacteria grows in exponential manner, the bacteria proportion at 3.00 P.M is 300 then at 7.00 P. M it raise to 153600. By how much will be the proportion of bacteria at 10.00 P.M? 15.Recent reports have suggested that sportsmen with decreased metabolic rates perform better in certain sports. After reading one such report, Jordan, a sportsperson from Arlington decides to undergo a rigorous physical training program for 3 months, where he performs Yoga for 3 hours, walks for 2 hour s and swims for 1 hour each day. He says: I began my training on a W ednesday in a prime number month of 2008. I lost 1% of my original weight within the first 30 days. In the next two months combined, combined, I lost 1 Kg. If he walks at 5 mph over a certain journey and walks back over the same route at 7 mph at an altitude of 200 meters, what is his av erage speed for the journey? (a) 5.83 (b) ( b) 2.92 (c) 6.00 (d) 35.00 16.the population of tha bacteria culture doubles every 2 mins.approximately mins.approximately how many min it will take for the population to grow from 1000 to 500000 bacteria. a)10 b)12 c)14 d)18 17.A hare and a tortoise have a r ace along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the o ther. The hare starts after the tortoise has covered 1/3 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/4 of the distance. By what factor should be hare increase its speed so as the win the race? (a) 4 (b) ( b) 3 (c) 12 (d) 5.00 18.Subha Patel is an olfactory scientist working for International Flavors and Fragrances. She specializes in finding new scents recorded and reconstituted from nature thanks to Living Flower Technology. She has extracted fragrance ingredients from different flowering plants into bottles labeled herbal, sweet, honey, anisic and
rose. She has learned that a formula for a perfu me is acceptable if and only if it does not violate any of the rules listed: If the perfume contains herbal, it must also contain honey and there must be twice as much honey as herbal. If the perfume contains sweet, it must also contain anisic, and the amount of anisic must equal the amount of sweet. honey cannot be used in combination with anisic. anisic cannot be used in combination with rose. If the perfume contains contains rose, the amount of rose must be greater than the total amount of the other essence or essences used. Which of the following could be added to an unacceptable perfume consisting of two parts honey and one part rose to make it acceptable? (a) Two parts rose (b) One part herbal (c) Two parts honey (d) One part sweet 19.Amok is attending a workshop How to do more with less and today’s theme is Working with fever digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fever digits. The problem posed at the end of the workshop is How many 10 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible divisible by 4? Can you h elp Amok find the answer? (a) 1953125 (b) 781250 (c) ( c) 2441407 (d) 2441406 20. The Barnes Foundation in Philadelphia has one of the most extraordinary and idiosyncratic collections collections in French impressionist art. Dr. Barnes who put together this collection has insisted that the paintings be hung in a particular manner specified by him at a museum designed by the French architect Paul Philippe Cret who also designed the Rodin Museum. The museum has, say, seven galleries Eugene Boudin, Cassatt, Boudin, Forain, Gonzales, Manet and Monet. Visitors reach the main Eugene Boudin by an elevator, and they can enter and leave the exhibition only through Eugene Boudin gallery. Once inside, visitors are free to move as they choose. The
14.The bacteria grows in exponential manner, the bacteria proportion at 3.00 P.M is 300 then at 7.00 P. M it raise to 153600. By how much will be the proportion of bacteria at 10.00 P.M? 15.Recent reports have suggested that sportsmen with decreased metabolic rates perform better in certain sports. After reading one such report, Jordan, a sportsperson from Arlington decides to undergo a rigorous physical training program for 3 months, where he performs Yoga for 3 hours, walks for 2 hour s and swims for 1 hour each day. He says: I began my training on a W ednesday in a prime number month of 2008. I lost 1% of my original weight within the first 30 days. In the next two months combined, combined, I lost 1 Kg. If he walks at 5 mph over a certain journey and walks back over the same route at 7 mph at an altitude of 200 meters, what is his av erage speed for the journey? (a) 5.83 (b) ( b) 2.92 (c) 6.00 (d) 35.00 16.the population of tha bacteria culture doubles every 2 mins.approximately mins.approximately how many min it will take for the population to grow from 1000 to 500000 bacteria. a)10 b)12 c)14 d)18 17.A hare and a tortoise have a r ace along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the o ther. The hare starts after the tortoise has covered 1/3 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/4 of the distance. By what factor should be hare increase its speed so as the win the race? (a) 4 (b) ( b) 3 (c) 12 (d) 5.00 18.Subha Patel is an olfactory scientist working for International Flavors and Fragrances. She specializes in finding new scents recorded and reconstituted from nature thanks to Living Flower Technology. She has extracted fragrance ingredients from different flowering plants into bottles labeled herbal, sweet, honey, anisic and
rose. She has learned that a formula for a perfu me is acceptable if and only if it does not violate any of the rules listed: If the perfume contains herbal, it must also contain honey and there must be twice as much honey as herbal. If the perfume contains sweet, it must also contain anisic, and the amount of anisic must equal the amount of sweet. honey cannot be used in combination with anisic. anisic cannot be used in combination with rose. If the perfume contains contains rose, the amount of rose must be greater than the total amount of the other essence or essences used. Which of the following could be added to an unacceptable perfume consisting of two parts honey and one part rose to make it acceptable? (a) Two parts rose (b) One part herbal (c) Two parts honey (d) One part sweet 19.Amok is attending a workshop How to do more with less and today’s theme is Working with fever digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fever digits. The problem posed at the end of the workshop is How many 10 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible divisible by 4? Can you h elp Amok find the answer? (a) 1953125 (b) 781250 (c) ( c) 2441407 (d) 2441406 20. The Barnes Foundation in Philadelphia has one of the most extraordinary and idiosyncratic collections collections in French impressionist art. Dr. Barnes who put together this collection has insisted that the paintings be hung in a particular manner specified by him at a museum designed by the French architect Paul Philippe Cret who also designed the Rodin Museum. The museum has, say, seven galleries Eugene Boudin, Cassatt, Boudin, Forain, Gonzales, Manet and Monet. Visitors reach the main Eugene Boudin by an elevator, and they can enter and leave the exhibition only through Eugene Boudin gallery. Once inside, visitors are free to move as they choose. The
following list includes all of the doo rways that connect the seven galleries: There is a doorway between Eugene Boudin and Cassatt, a doorway between Eugene BoudinandBoudin, and a doorway between Eugene Boudin and Gonzales galleries. There is a doorway between Cassatt and Boudin galleries. There is a doorway between Gonzales and Forain and a doorway between Gonzales and Manet galleries. There is a doorway between Manet and Monet galleries. Which of the following rooms CANNOT be the third gallery that any visitor enters ? (a) Monet (b) Boudin (c) ( c) Forain (d) Cassatt 21. Mr. Beans visited a magic shop and bought some magical marbles of different colours along with other magical items. While returning home whenever he saw a coloured light, he took out marbles of similar colours and counted them. So he counted the pink coloured marbles and found that he has bought 25 of them. Then he counted 14 green marbles and then 21 yellow marbles. He later counted 30 purple coloured marbles with him. But when he reached a crossing, he looked at a red light and started counting red marbles and found that he had bought 23 Red marbles. As soon as he finished counting, it started raining heavily and by the time he reached home he was drenched. After reaching home he found that the red, green and yellow marbles had magically changed colours and became white, while other marbles were unchanged. It will take 1 day to regain its colours, but he needs to give at least one pair of marbles to his wife now. So how many white marbles must be choose and give to his wife so as to ensure that there is atleast one pair of red, yellow and green marbles? (a) 46 (b) 35 (c) 29 (d) 48 22.A boy want to make a cuboid of dimension 5m,6m,7m from small cubes of .03 m3.later he realized ,he can make same cuboid by
making it hollow. Then it take some cubes less. What is the no of these cube. 23.The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 14 such programmers take 14 minutes to write 14 lines of code in total. How long will in take 5 programmers to write 5 lines of code in total ? (a) 19 (b) 5 (c) 14 (d) 70 70 24.A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he traveled 1 mile in north direction & reached at north pole, there he saw a bear, he then followed the bear around 1 hr with a speed of 2kmph in east direction , after that he traveled in south direction & reached at his lab min 2 hrs. Then what is the color of the bear? (a) white (b) black (c) gray (d) bro wn 25. Rearrange the alphabets REGHFTYD, find the type of rearranged word belongs to: (a) Animal (b) Tree (c) Bird (d) Thing 26.Smita was making 1 design, size of larger cube to be made is 5*5*5using 5*5*5using smaller cubes of 1*1*1. She created solid larger cube.. Then she decided to make hollow cube. Then how many 1*1*1 cubes required to make hollow larger cube 27.Lion and rat stay in jungle happily. Lion lies on : MON TUE W ED, RAT lies on : WED THURS SAT, if lion says : I didn’t lie yesterday, RAT says : e1 didn’t lie yesterday, so what day is today 28. Horse started to chase a dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hr, horse crossed
10 mts road and two small pounds with depth 3m, and it crossed two small streets with 200 mts length. After traveling 6hrs, 2hrs after sunset it got dog. Compute the speed of dog?
35.There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that me musical sound would be produced 5 times consecutively? consecutively? (1 of__)?
29. A mathematical series present like: 8 6 17 35 30 71 _ 143.
36.a+b:b+c:c+a=6:7:8 a+b+c=14 value of c?
30. In a particular city there are 100 homes numbered from 1,2,3……..100. 1,2,3……..100. The city was build by a builder from Chennai. There was 4 to 5 shops in the town which was build by a builder from Mumbai. THE 2nd builder in can build in ½ time as compared to 1st builder. If the 2 nd builder builds in 15 days, then how many 2’s are used by the builder from Chennai in numbering numbering the 100 homes? (a) 17 (b) 18 (c) 19 (d) 20 31.Mr. Das has 3 sons whose ages are respectively a, b, c. The grandfather has bought a cycle for the eldest son, mother has bought a bag for the youngest one which cost Rs. 150/. The sum of two age of the elder son and one son is 15 . The difference of the age of sons is 3 & 2. Then what of the age of the elder son? (a) 10 (b) 11 (c) 12 (d) 13 32. A triangle is made from a r ope. The sides of the triangle are 25 cm, 11 cm and 31 cm. what will be the area of the square made from the same rope? 33. An athlete decides to run the same distance in 1/4th less time that she usually took. By how percent will she have to increase her average speed? 33. Peter and Paul ate two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as o ld as Paul is now. What is the preset ate of Peter 34.The ages of two friends is in the r atio 6:5. The sum of their ages is 66. After how many years will the ages be in the ratio 8:7?
37.given 3 lines in the plane such that point of intersection frm a trangle wth sides 20,20,18 the no of points equidistance from 3 lines are 1)3 2)4 3)0 4)1 38. In which of the system, decimal number 184 is equal to 1234? 39..MR dash has 3 sons whose ages are respectively respectively a,b,c. The grandfather has bought a cycle for the eldest son, mother has bought a bag for the youngest one which cost Rs150/. The sum of two age of the elder son & one son is 15.The difference of age of sons is 3 & 2.Then what is the age of the eldest son? a)10, b)11, c) 12,d)13 40.A boy wnts tn mk cuboids of dimension 5m,6m,7m from small cubes of .03 m3. Latr he realized he cn mk same cuboids by making it hollow.wht is d no of the cubes to be removed? a. 2000 b. 5000. 41.(1-1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ? 42. Alchemy is an occult tradition that arose in the ancient P ersian empire. Zosimos of Panopolis was an early a lchemist. Zara, reads about Zosimos and decides to try some experiments. One day, she collects two buckets, the first containing containing one litre of ink and the second containing containing one litre of cola. Suppose she takes one cup of ink out of the first bucket and pours it into the second bucket. After mixing she takes one cup of the mixture from the second bucket and pours it
back into the first bucket. W hich one of the following statements holds now? a) There is more cola in the f irst bucket than ink in the second bucket. b) There is as much cola in the f irst bucket as there is ink in the second bucket. c) There is less cola in the first bucket than ink in the second bucket. 43.Susan made a block with small cubes of 7 cubic cm volume to make a block 4 small cubes long,4 small cubes wide and 10 small cubes deep. She realises that she has used more small cubes than she really needed. She realised that she could have glued a fewer number of cubes together to look like a block with sa me dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? 160 32 128 79 44. wat is d diff between z and x intercept in 7x+6y+9z=0 45. The Jumbo circus is performing in the city and the jumbo circus' main attraction is a group performance by a variety of performers. In this group belonging to the same category weight the same. The musicians are heavier than singers and the dancers are lighter than guitarist. Further the artist have same weight as the dancers. The average height of the above mentioned people reduces by 2cm if I replace the guitarist with a joker. Find the height of the joker, if the height of the guitarist is 184cm a) 154cm b) 171cm c) 158 cm d) 160cm 46. in a market 4 men are standing. the average age of the four before 4 years is 45, after some days one man is added and his age is 49 ,what is the average age of a ll? 47.In a certain coding system used by the military intelligence, URMILA is written as SACHIN. SACHIN. KANIKA is written written as NOROIN and
TANISHA is written as INTERNL. Which of the following cannot be the code for NIKETA? N IKETA? 48. there are 5 materials to make a perfume: lilac, Balsamic, Balsamic, Lemon, Woody and MI mosaic. to make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together. Woody and Balsamic never go together. Lemon can be added with any material. all of the following combinations combinations are possible to make a perfume except: 1)Balsamic and Lilac 2)Woody and Lemon 3)MI mosaic and W oody 4)MI mosaic and Lilac 49. Given 3 lines in the plane such that the points of intersection from a triangle with sides of length 20, 20 and 20, the number of points equidistant from all the 3 lines is 4 3 1 50. rabbit starts after tortoise has covered one-fifths of its distant.Rabbit and torotise have a race along a circle of 100 yard diameter. The rabbit and torotise meet thn the raabit has covered only 1/8th of distance then by what factor should the rabbit is increased its speed so as to tie the race.. 51.Rearrange the following letters to make a word and choose the category in which it fits. RAPETEKA Bird Fruit City Vegetable 52. if Tarun buys only pens costing Rs. 13 each or only pencils costing Rs.5 each , he is left with Rs.2 in each case.Which of the following cannot be the amount available with h im? 53. The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? 192 54 64 256
54. a lady has fine gloves and hats in her closet-14 blue,20 red and 18 yellow. the lights are out and it i s totally dark. inspite of the darkness, she can make out the difference b/w a hat and a g love. she takes out an item out of the c loset only if she is sure that if it is a gloves. how many gloves must she take out to make sure she has a pair of each color. expain?? 55. The no.of seats in a cinema hall is decreased by 5%, the price on the ticket also 5%. What is the effect on the r evenue collected..?? collected..?? a) -10% b) +2.5% c)-9.75% d)+10.5%
65 lines such that each line consists of 70 characters. The % reduction in the number of sheets is closest to a)20 b)5 c)30 c)30 d)35 60. TWO STATIONS A & B ARE 110 KM APART. ONE TRAIN STARTS FROM A AT 7 AM, AND TRAVELS TOWARDS B AT 20KMPH. ANOTHER TRAIN STARTS FROM B AT 8 AM AND TRAVELS TOWARDS A AT 25KMPH. AT WHAT TIME WILL THEY MEET? A. 9 AM B. 10 AM C. 11 AM D. 10.30 AM
56. Both A and B Alice and Bob play the following chip-off-the-table game. Given a pile of 58 chips, Alice first picks at least one chip but not all the chips. In subsequent turns, a player picks at least one chipbut no more than the number picked on the previous turn by the opponent. The player to pick the the last chip wins. Which of the following is true?
61. A student's grade in a course is determined by 6 quizzes and one examination. examination. If the examination counts thrice as much as each of the quizzes, what fraction of final grade is determined by the examination?
In order to win, Alice should pick 14 chips on her first turn. In order to win, Alice should pick two chips on her fir st turn. In order to win, Alice should pick one chip on her first turn.
62.A & B are playing a game .There a re 8 oranges in a ro w on the table.one Player can take 1-4 oranges in a pick (a maximum of 4),one who picks the last orange wins the game.'A' plays first How many oranges should he pick first time inorder to win the game.
57.30 teams enter a hockey tournament. A team is out of the tournament if it loses 2 games. What is the maximum number of games to be played to decide one winner? 60 59 61 30 34 58. There are two containers A and B. A is half filled with wine whereas B which is 3 times the size of A contains one quarter portion wine. If both containers are filled with water and the contents are poured into container C, what portion of container C is wine? .30 .31 .42 .25 59.A report consists of 20 sheets each of 55 lines and each such line consists of 65 characters. This report is retyped into sheets each of
a)1/6 b)1/5 c)1/3 d)?
63. A power unit is there by the b ank of the river of 750 meters width. A cable is made from power unit to power a plant opposite to that of the river and 1500mts away from the power unit. The cost of the cable below water is Rs. 15/- per meter and cost of cable on the bank is Rs.12/- per meter. Find the total of l aying the cable. 64.Arrange the jumbled letters to make a perfect word RGTEI(sth like this). Find to which category it belong? A)town b)vegetable c)animal d) bird 65.The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head
when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there a re 100 boarders. a) 65 b) 55 c) 50 d) 45
73. P1 fills a tank in 30 hours whereas P2 empties the tank in 60 hours. If P1 is opened in the first h our and P2in the second hour and so on, what is the earliest time in which the tank is filled?
66. FIND THE NO. OF Y FOLLOWED BY W BUT THAT IS NOT FOLLOWED BY Z. Y W R U D D Y W Z ...............
74.there are 30 cans out of which only 1 is poisoned. if a person tastes very little, he will die within 14 hours. if there are mice to test and 24 hours, how many mice are r equired to find the poisoned can?
67. A sporting goods store ordered an equal number of white and yellow balls. The tennis ball company delivered 45 extra white balls, making the ratio of white balls to yellow balls 1/5 : 1/6. How many white tennis balls did the store originally order for? a) 450 b) 270 c) 225 d)None of these 68.There is a circular pizza with negligible thickness that is cut into 'x' pieces by 4 straight line cuts. What is the maximum and minimum value of 'x' respectively? a) 12,6 b) 11,6 c) 12,5 d) 11,5 69. Average of 5 number is -10 sum of 3 numbers is 16,what is the average of other two numbers? 70.if a man can swim downstream at 6kmph and upstream at 2kmph, his speed in still water is: 71.WHICH SHAPE WILL BE OBTAINED BY USING THESE VALUES OF X,Y XY 0 0.00001 10 1.02 100 1.72 1000 3.00 9999 4.72 72. In a certain code, '37' means 'which class' and '583' means 'caste and class'. What is the code for 'caste'? a) 3 b)7 c) 8 d)either 5 or 3 e)either 5 or 8
75. the age of two people in ratio is 6:5, if the sum of their ages is 44.after how many years would the ratio be 8:7 76. in a particular city, bu ildings under residential category was numbered as 1 to 100. shops were numbered between 150 to 200(only prime numbers). how many times does the number 6 appear? 77. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? 78. if the difference of two number is 9 and product of two number is 10, what is the square of the su m of numbers 79. A men whose age is 45 yrs has 3 sons named johan, Jill and Jack. He went to a park weekly twice. He loves his sons very much. On a certain day he finds shopkeepers selling different things. An apple cost 1penny, 2chocalate costs 1penny, & 3 bananas cost 1penny. He has bought equal no. of apple, chocolate and banana for each son. If the total amount he invest is 7 penny then h ow many he has bought from each piece for his son? 80. If A= 0 0 0 0 1 1 1 1 B= 0 0 1 1 0 0 1 1 C= 0 1 0 1 0 1 0 1 Then find the value of [A U C] U B and express it in decimal. 81. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed? a) 16 b) 6 c) 10 d) 60
82. Vinay wlked 2 km to reach school.one day,he was sick,he walked with speed 20% less than before while going and returning.what was the percentage increase i n t ime,in the entire journey?? 83. In a market 4 man ar e standing .the average age of the four before 4years is 45, after some days one man is added and his age is 49.what is the average weight of all? 84. on a sheet of paper there are 40 statements. each n statement states that "Atleast n number of statements on this sheet is false" then how many statements are f alse? 85. the plane question was asked.it took off from 7 degree 53' 6.1'' and landed at 8 degree 6' 43.5''.it takes 12 hours to travel between these points.then what will be local time at destination ? 86. g[0]=1,g[1]=-1,g[n]=2*g[n-1]-3*g[n-2] then calculate g[4]= ? 87. The temperature at Mumbai is given by the function: -t2/6+4t+12 where t is the elapsed time since midnight. What is the percentage rise (or fall) in temperature between 5.00PM and 8.00PM? 88.Determine the distance between x-intercept and 2-intercept of the plane where equation is 6x+8y-32=72. 89) Each of the four friends Ms A, Mr. B, Ms C and Mr. D vacationed at one of the four places (each person vacationed at only one place) – Japan, Nepal, Egypt and Spain (not necessarily in this order). Each visited the places in one o f the following months: January, March, May and November, and everyone went in a different month. i.C vacationed immediately before A but after the man who went for a vacation to Japan. ii.The person who left in March did not go to Egypt and his friend vacationed in May. iii. The person who went to Nepal vacationed immediately after D did.
iv. A and B visited the friend, who went to Spain, to see his pictures. i). Where did Ms C spend her vacations? a. Japan b. Nepal c. Egypt d. Spain e. Cannot be determined ii). Who vacationed in the month of March? a. Ms A b. Mr B c. Ms C d. Mr D e. Both Mr. B and Mr. C iii). Nepal was vacationed in which month? a. Jan. b. Mar. c. May d. Nov. e. Feb 90. A file is transferred from one location to another in 'buckets'. The size of the bucket is 10 kilobytes. Each bucket gets filled at the rate of 0.0001 kilobytes per millisecond. The transmission time from sender to receiver is 10 milliseconds per bucket. After the receipt of the bucket the receiver sends an acknowledgement that reaches sender in 100 milliseconds. Assuming no error during transmission, write a formula to calculate the time taken in seconds to successfully complete the transfer of a file of size N kilobytes. 91. The citizens of planet Oz are 4 fingured and thus have developed a umber system in base 4. A certain street i n Oz contains 100 buildings bumberred from 1 to 100. How many 2's are used in numbering these buildings? Express your answer in base 10. 92. A sheet paper has statements numbered from 1 to 10. For all values of n from 1 to 10, statement n says "at most n of the statements on this sheet are false". W hich stratements are true and which are false? All statements are false The odd numberred statements are true and the even numberred are false The even numberred statements are true and the odd numberred are false All statements are true
93. A gun has a nozzle velocity 330 mt/sec. It has to meet a target which is at a distance 5km. It retards at a rate of 8 mt/sec/sec while travelling in air. Find the velocity at a place where the bullet will meet the target. 94. In planet OZ planet there are 8 days, Sunday to Saturday and 8th day is Oz day. There is 36 hours in a day. What is angle between 12.40? a) 80 b) 81 c) 87 d) 89 95. The citizens of planet nigiet are 4 fingered and have thus developed their decimal system in base 4. A certain street in nigiet contains 100 (in base 4) buildings numbered 1 to 100. How many 5s are used in numbering these buildings? (a) 48 (b) 8 (c) 20 (d) 16 96. If a pipe can fill the tank within 6 hrs but due to leak it took 30 min more now if the tank was full hw much tym will it take to get empt-yed through the leak? 97. two tanks A and B, A fills 1litre/1 hour. B fills 10,20,30. per hour two tanks A and B, A fills 1litre/1 hour. B fills 10,20,30. per hour. if 1/4th tank of B takes 15 hour to fill. how much time it will take to fill complete the tank 98.a block has 14 cm width.if he combine 2 blocks the width will be 25 cm.then
gold coin to the top of the r epeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position I below the top coin (for some I between 0 and 1 00). We will call this as i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated, for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gol coin happen to be on the top when it’s a player’s turn then the player wins the game. Initially, the gold coin is the third coin from the top. Then In order to win, Alice’s first move should be a 1-move. Alice has no winning strategy. In order to win, Alice’s first move can be a 0- moveor a 1-move. In order to win, Alice’s first move should be a 0-move. 102. It is darkk in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to gate at least two socks of the same color? a) 2, b) 3, c) 48, d) 25 103.There is a King telling a story that there are three friends Alen, Karan and Helen They went to a p icnic for a long tour. They enjoyed well. They carried all necessaries which they want to utilize there. Here Alen age is 3 times the age o f Helen 3 years ago. Helen is twice the age of Karan after 2 years. W hat is the present age of Alen.
99. (40*40* 40-31*31*31)/(40*40+40*31+31*31)=?
104. if atlantic is found in atlantic ocean ,india is found in indian ocean then which of the following cases are true
100. The ratio of current age of X and Y is 5:7,after hw many years der age ratio will b 7:9?
105. An equation of the form 7x+17y+ 3z=54. Find the difference between x intercept and z intercept?
101. Alice and Bob play th e following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the
106. Both A and B Alice and Bob play the following chip-off-the-table game. Given a pile of 58 chips, Alice first picks at least one chip but not all the chips. In subsequent turns, a player picks at least one chip
but no more than the number picked on the previous turn by the opponent. The player to pick the last chip wins. Which of the following is true? 1)In order to win, Alice should pick 14 chips on her first turn. 2)In order to win, Alice should pick two chips on her first turn. 3)In order to win, Alice should pick one chip on her first turn. 4)Alice has no winning strategy. 107. You have coin of all dimensions. You need to provide exact change at the counter. you hav 155p coin. in how many parts will u divide this so that u ll provide the exact change required and carry as less coins as possible.?? 108.There are 100 can out of of them one is poisoned .if a person tastes very little of this he will die within 14 hours so they decided to test with a mice .given that a mouse dies in 24 hours and you have 24 hours in all to find out the poisoned can , how many mice are required to find the poisoned can? 109.Three fair dice are thr own simultaneously. What is the probability of getting three numbers whose product is even? 110. A person ismanufacturing a house. He bought 20 ropes of wire which has a density of 300 Kg/m3. The height of the building to be constructed is 40 m. If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts. Then what will be the opposing force to the current if the wire is used? a) 2 b) 4 c) 8 d) 1600 111. A volume of 10936 l water is in a container of sphere. How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres? a) 2812 b) 8231 c) 2734 d) 4222 112. If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more. Now the tank is full then how much t ime will it take to
empty the tank throught the leak? a) 78 b) 56 c) 66 d) 59 113. A very big story.on Tuesday college parking place have only 4wheelers & bicycles,total no of wheels was 182,yhen what is the possible no of bicycles? 114.A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at north pole.there he saw a bear .he then followed the bear ar ound 1 hr with a speed of 2 km/hr in east direction.After that he travelled in south direction & reached at his lab in2 hrs. Then what is the colour of the bear? a)white b)black c)gray d)brown 115. entry ticket to an exhibition ranges from 1p to 31p.you need to provide exact change at the counter.you have 1p coin.in how many parts will u divide 31p so that you will provide the exact change required and carry as less coins as possible. 116. There are 7 children and the youngest child is a boy.What is the probability that all of them are boys ? 117. 21 people meet and shake hands. The maximum number of handshakes possible if there is to be no ‘cycle’ of handshakes is (A cycle of handshakes is a sequence of people a1, a2, … , aK such that the pairs (a1, a2), ( a2, a3),… , (a (k1), a k) , (ak, a1) shake hands. a) 17 b) 18 c) 19 d) 20 118.Alice and bob play the following coins-on-a-track game. 50 coins are stacked one above the other. One of them is a special (gold) coin and the reset are ordinary coins. The goal is to br ing the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position I below the top coin (for some
I between 0 and 50). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-moves on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it’s a players turn ther the player wins the game. Initially the gold coin is the third coin from the top then In order to win, Alice’s first move should be a 1-move. In order to win, Alice’s first move can be a 0- move or a 1-move. Alice has no winning strategy. In order to win Alice’s first move should be a 0-move.
121. A result of global warming is that the ice of some glaciers is melting . 13 years after the ice disappears, tiny plants, called lichens, start to grow on the rocks. Each lichen grows approximately in the shape of a circle. The relationship between the diameter of this circle and the age of the lichen can be approximated with the formula: d=18*(t-13)for t>13, where d represents the diameter of the lichen in millimeters, and t represents the number of years after the ice has disappeared. Using the above formula calculate the diameter of the lichen , 39 years after the ice has disappeared. 702 468 13 689
119. Mr bean visited a magic shop and bought some magical marbles of different colours along with other magical items. While returning home whenever he saw a coloured light he took out marbles of similar colours and counted them. So he counted the pink coloured marbles and found that he has bought 25 of them . then he counted 10 green marbles and then 32 yellow marbles. He later counted 30 purple coloured marbles with him. But when he reached a crossing, he looked at a red light and s tarted counting red marbles and found that he had bought 34 red marbles. As soon as he finished counting, it started raining heavily and by the time he reached home he was drenched. After reaching home he found that the red, green, and yellow marbles had magically changed colours and became white, while other marbles were unchanged . it will take 1 day to regain its colo9urs, but he needs to give atleast one pair of marbles to his wife so as to ensure that there is atleast one pair of red, yellow and green marbles? 70 42 68 40
122. Ahollow cube of size 5 cm is taken with a thickness of 1 c m. it is made of smaller cubes of size 1 cm. if 3 faces of the outer surface of the cube are painted totally how many faces of the smaller cubes remain unpainted? 525 900 825 513
120. A man has some socks in his drawere – 14 identical blue, 20 identical red, and 28 identical black. The lights are out and it is totally dark. How many socks must he take out to make sure he has a pair of each colour? 34 50 30 28
123. For the king’s revelry 254 barrels of beer have b een ordered . howerver, it was found that one of them is poisoned. The poison takes effect even if consumed in the tiniest amount after 14 hours. Yhou need to find within 24 hours the poisoned barrel and have at your disposal some beer guzzling mice. The s mallest number of mice required to find the poisoned barrel is 9 8 254 7 124. A circular dart board of radius 1.0 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q I th circle. What is the probability that Q is closer to the center of circle than the periphery? .25 .75 .50 1.00 125. On the planet Oz there are 8 days in a week – Sunday to Saturday and another day called Oz day. There are 36 hours in a day
and each hour has 90 minutes while each minute has 60 seconds. As on earth the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 15:40 am 186 degrees 311 degrees 131 degdrees 146 degrees 126. Ferrari S. p.A is an italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the compay sponsored drivers and manufactured race cars bvefore moving into production of street-legal vehicles in 1947 as Ferrari S.p.A through out is history the compay has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 4 times as fast as Mohit’s old Mercedes. If the speed of Mohit’s Mercedes is 32 km/hr and the sistance traveelled by the Ferrari is 991 km, find the total time taken for Rohit to dr ive that distance 7.74 Hours 247 Housr 8 Housr 30 Hours 127. Given 3 lines in the plane such that the points on intersection form a triangle with sides of length 20, 20 and 22 the number of points equidistant from all the 3 lines is 4 1 0 3 128. A sheet of paper has statements numbered from 1 to 16 for all values of n from 1 to 16 statement n says: ‘Exactly n of the statements on this sheet are false’. Which statements arte tru e and which are false? The second last statement is true and the rest are false. The even numbered statements are true and the odd numbered statements are false.All the statements are false The odd numbered statements are true and the even numbered statement are false. 129. The citizzens of planet oz are 8 fingered and thus habve developed a number system in base 8. A certain street in Oz contains 1000 buildings nubered from 1 to 1000. How many 4s are used in
numbering these buildings ? Express your answer in b ase 10. 64 96 192 256 130. The teacher is testing a students proficiency in arithmetic and poses the following question: 1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can you help the student find the answer? 19 6 17 18 131. The IT giant tirnop has recently crossed a head count of 150000 and earnings of $7billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 13 such programmers take 13 minutes to write 13 lines of code in total. How many lines of code can be written by 104 programmers in 104 minutes: 104 832 13 8 132.45 suspects are rounde by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to hi m on his right is guilty. The rightmost person is not questioned. Shich of the following possibilities are ture? A. all the suspectrs are lying. B. the leftmost suspect is guilty. C. the rightmost suspect is guilty. A and C A and B B only A only 133.45 people {a1, a2, ……a45} meet and shake hands in a circular fashion. In other words, there are totally 45 handshakes involving the pairs, {a1, a2}, {a2,a3},…..{a44,a45},{a45,a1}. Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is 16 22 15 14
134. Planet Fourfe resides in 4-dimensional space and thus the currency used by its residents are 3- dimensional objects. The rupee notes are cubical in shape shile their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. A. The diamere of the coins should be at least 16 mm and not exceed 64mm. B. given a coin the diameter of the next larger coin is at least 50% greater. C. the diameter of the coin must always be na integer. You are asked to design a set of coins of d ifferent diameters with thers requirements and your goal is to desigh as many coins as possible. How many coins can you design? 135. There are two boxes, one containing 24 red balls and the other containing 38 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box the probability of getting a red ball is maximized. This maximum probability is .50 .39 .69 .19 136. Given a collection of points P in the plane a 1-set is a point in P that can be separated from the rest by a line; i.e the pint lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P) . The maximum value of n1(P) over all configurations P of 4 points in the plane is 3 2 45
recorded and reconstituted from nature thanks to living flower technology she has extracted fragraned ingredients from different flowering plants into bottles labeled citrus lilac, woody, anisic and casis . she has learned that a formula for a perfume is acceptable if and only if it does not violate any of the rules listed: if the perfume contains citrus, it must also contain anisic, and the amount of anisic must equal the amount of lilac. Woody cannot be used in combination with anisic. Anisic cannot be used in co mbination with casis. If the perfume contains casis, the amount of casis must be greater than the total amount of the other essence or essence used. Which of the following could be added to an d unacceptable perfume consisting of two parts woody and one part casis to make it acceptable? Two parts woody One part lilac One part citrus Two parts casis 139. 5 people meet and shake hands. The maximum numbersof handshake possible if there is to be no cycle of handshake is ( A cycle of handshake is a wequence of people a1, a2….ak, k>2 such that the pairs {a1,a2} {a2,a3} {a(k-1),ak}, {ak,a1} shake hands). 1 4 3 2 140.The ratio of incomes of C and D is 3 :4.the ratio of their expenditures is 4:5. Find the ratio of their savings if the savings of C is one fourths of his income?
137. There are two water tanks A and B , A is much smaller than B. While water fills at the rate of one l itre every hour in A, it gets filled up like 10,20,40,80,160 .. in tank B. (At the end of f irst hour, B has 10 litres, second hour it has 20, and so on). If tank B is 1/8 filled after 23 hours, what is the total duration required to fill it completely? 27 hours 25 hours 26 hours 3 hours
141. Alok is attending a workshop how to do more with less and todays theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achived if mankind (as well as womankind) had only worked with fewer digits. The problem posed at lthe end of the workshop is how many 6 digit numbers can be formed using the digits 1, 2,3,4,5 (but with repetition) that are divible by 4? Can you help Alok find the answer? 3125 3906 1250 3907
138. Subha patel is an olfactory scientist working for internation flavors and fragrances. She specializes in finding new scents
142.After the typist writes 100 letter s and addresses 100 envelopes she inserts the letters randomly in to the envelopes(1 letter per
envelope). What is the probability that exactly 1 letter is inserted in an improper envelop? 0 1-1/100 1/100! 1/100 143.The pacelength P is the distance between the rear of two consecutive footprints for men the formula n/P=110 gives an approximate relationship between n and P where n = number os steps per minute and P= CX in meters. Bernard knows his Pace Length is 97cm the formula applies to Ber nards walking. Calculate Bernards walking speed in kmph. 106.70 8.82 6.21 11.34 144. Given 3 lines in the plane such that the points of intersection from a triangle with sides of length 20, 20 and 11 the number of points equidistant from all the 3 lines is 0 3 1 4 145. Alok and Bhanu play the following min-max game. Given the expression N=46+X+Y-Z, where X,Y and Z are variables representing single digits (0 to 9) Alok woul like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitues this for a variable of her choice (X, Y or Z) Alok then chooses the next value and Bhanu the Variab le to substitute the value. Finallyu Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies the value of N at the end of the game would be 37 57 64 55 146. For the FIFA world cup Paul the octopus has been predicting the winner of each match with amazing success it is rumored that in a match between 2 teams A and B Paul picks Awith the same probability as A’s chances of winning Lets assume such r umors to b e true and that in a match b Etween Ghana and Bolivia Ghana the stronger team has a probability of 10/11 of winning the game. What is the probability that Paul will correctly pick the winner of Ghana-Bolivia
game? 17 01 91 83 147. You have a jar containing water absorbing marbles which will take 21 hours to set completely when fixed with white cement. There are 50 red marbles, 52 blue marbles and 63 black marbles. The jar is kept inside a dark room. What is the minimum number of marbles that you need to pick to make sure that you have a pair of marbles in each colour ? (a)117 b)98 (c)120 (d) 114 148. There are two boxes, one containing 21 red balls and the o ther containing 25 green balls. You are allowed to move the balls between the boxes so that when you choose a box at r andom and a ball at random from the chosen box, the probability of getting a red is maximized. This maximum probability is (a) 0.5 (b) 0.63 (c) 0.72 (d) 0.48 149.Planet fourfi resides in 4 – dimensional space and thus the currency used by its residents are 3 – dimensional objects. The rupees notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. The diameter of the coins should be at least 256 mm and not exceed 4096 mm.Given a coin, the diameter of the next larger coin is at least 50% greater. The diameter of the coin must always be an integer. You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? 150. There is a series 13,14,27,30,55,62,?, 126. Find the missing.
151. If a pipe can fill the tank within 60% of an hour.But due to leak it takes 3 min more.Now the tank is full then how much time will it take to empty the tank throught the leak.? 152. A power unit is by the bank of a river 1500m wide. It is r equired to construct a power plant on the side of the river opposite to the power unit and 3000mfrom the unit. A cable has to be laid from the power unit to the power plant. The cost of laying the cable under water and on the land is Rs 100 p er m and Rs 10 per m respectively. If we want to minimize the total cost of laying the cable, where should the plant be located? 750 m from the river bank 1500 m from the river bank 1200 m from the river bank 3000 m from the river bank Solution since laying the cable under water is costly, so we should lay it along the perpendicular direction to the width of the river for r educing the cost, yet we have to maintain the distance of 3000 m between the power unit and power plant so power plant should be located at 1500 from the river bank. 153. Lady has 2 select gloves & hat from a basket. In the dark, she can distinguish hat&gloves.14red, 20blue, 18green r there. Find probability that any selected glove pair has same color 154. 3, 15, x, 51, 53,159,161 value of x ? a)17 b)34 c)54 d)112 155. A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.
156. If we subtract a number with y, we get 4 increase of number, once it got divided by y itself... Find that number?? 157. A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is? a)North b)South c)East d)West 158. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. „Which statements are true and which are false? 159. 3,22,7,45,15,?,31 160. 3,22,7,45,15?,31 161. On average age something like a, b, c weigheted separately 1st a, b, c, then a & b, then b & c , then c 7 a at last abc, then last weight was 167, then what will be the avg weight of the 7 weight? 162. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings? Alice & Bob play the following chip-off-game. Given a pile of 122 chips, Alice 1st picks at least one chip but not all chips. In subsequent turn a player picks at least one chip but no more than the number picked on the previous turn by the opponent. the player to pick the last chip wins. which of the following is true? 1)in order to win alice should pick up two chips on her 1st turn 2) in order to win, alice should pick 30 chips on her 1st turn 3) in order to win, alice should pick 1 chip on her 1st turn 4) alice has no winning strategy 163. 3 friends A,B,C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7
rounds.A:B:C,AB:BC,AC:ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds? 164. Sports readers,10 tables,4chairs per table, each table has different number of people then how many tables will left without at least one person?
171. 10. 20 men handshake with each other without repetition. What is the total number of handshakes made? a) 190 b) 210 c) 150 d) 250 172. 2,3,7,14,29,_,120?
165. A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there?
173. a volume of A are having in a container of sphere.how many semi hemispheres of B volume B will be required to transfer all the A into the semi hemisphere?
166. Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?
174. Some denominations question like you have 31 paise, and ticket cost is between 1 to 31, you have to give the exact denominations for the ticket. Find all the no. of possible denominations you may prdict and you must be left wid atleast few paise?
167. There are two trees in a lawn. One grows at a rate 3/5 of the other in 4 years. If the total growth of trees is 8 ft. W hat is the height of the smaller tree after 2 years
175. An equation of the form 4x+6y-2z=32 . Find the difference between x intercept and z intercept?
168.Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the station at 5 o'clock. Mangaram also reaches at the same time. One day Ram singh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at nor mal time, picks him up on the way and takes him back house, half an hour ear ly. How much time did Ram singh walked? 169. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed? a) 57 b) 56 c) 59 d) 58 170. In 80 coins one coin is counterfeit what is minimum number of weighing to find out counterfeit coin
176. a multiple choice question has 4 options . choosing the correct option earns the student three marks. However choosing the wrong option incurs negative marks, that if a student chooses an option randomly his expected score is zero.Suppose a student has successfully eliminated 2 incorrect options. His expected score if he chooses randomly among the remaining options is: a) 1 b)1.5 c)0 d)3 177. a man has some socks in his drawer 18 identical blue there are 16 different stations between A and B.how many different railway tickets have to be printed in each station except platform tickets?? 178. you are going to get grounded for a week if you don't get at least 80% in your science class.So far you have 237 out of the total 300 points. The final test in worth 100 points. What is the minimum score you need to get on the final test? Assume the teacher rounds properly 179. after winning first 9 rounds of a knock out tournament,sunday club has lost the final..how many total matches played??
180. what is the probability that when 4 letters are placed in 4 addressed envelope,all r wrongly placed??
181. Three adults Roberto, Sarah and Vicky will be traveling in a van with five children Freddy, Hillary, Jonathan, Lupe, and Marta. The van has a driver’s seat and one passenger seat in the front, and two benches behind the front seats, one beach behind the other. Each bench has room for exactly three people. Everyone must sit in a seat or on a bench, and seating is subject to the following restrictions: An adult must sit on each bench. Either Roberto or Sarah must sit in the driver’s seat. Jonathan must sit immediately beside Marta. 182. Of the following, who can sit in the front passenger seat ? (a) Jonathan (b) Lupe (c) Roberto (d) Sarah (e) Vicky 183. Which of the following groups of three can sit together on a bench? (a) Freddy, Jonathan and Marta (b) Freddy, Jonathan and Vicky (c) Freddy, Sarah and Vicky (d) Hillary, Lupe and Sarah (e) Lupe, Marta and Roberto 184.. If Freddy sits immediately beside Vicky, which of the following cannot be true ? a. Jonathan sits immediately beside Sarah b. Lupe sits immediately beside Vicky c. Hillary sits in the front passenger seat d. Freddy sits on the same bench as Hillary e. Hillary sits on the same bench as Roberto 185. If Sarah sits on a bench that is behind where Jonathan is sitting, which of the following must be true ? a. Hillary sits in a seat or on a bench that is in front of where Marta is sitting b. Lupe sits in a seat or on a bench that is in front of where Freddy is
sitting c. Freddy sits on the same bench as Hillary d. Lupe sits on the same bench as Sarah e. Marta sits on the same bench as Vicky 186. in a tournament 8 teams have participated.in the 1st round each team will play with the other only once.top 4 will be qualified and after that knock out decision.how many total matches will be played and loser will play how many match?? 187.The question is followed by two statements, A and B. Answer the question using the following instructions: Choose 1: if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose 2: if the question can be answered by using either of the statements alone. Choose 3: if the question can be answered by using both statements together but not by either statement alone. Choose 4: if the question cannot be answered on the basis of the two statements. Zaheer spends 30% of his income on his children’s education, 20% on recreation and 10 % on healthcare. The corresponding percentages for Sandeep are 40%, 25% and 13%. Who spends more on children’s education? A†Zaheer spends more on recreation that Sandeep B: Sandeep spends more on healthcare than Zaheer. 188. B is taller than j and 3 pillars. P is shorter than B and 2 p illars is j shorter/taller than P? 189. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 p erson? a) 8 b) 6 c) 2 d) 7
190. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 2 2, 15, 67, 31, _, 63? a) 202 b) 31 c) 76 d) 49 191.For the King’s revelry 6 barrels of beer have been ordered. However, it was found that one of them is poisoned. The poison takes effect even if consumed in the tiniest amount after 14 hours. You need to find, within 24 hours, the poisoned barrel and have at your disposal some beer guzzling mice. The smallest number of mice required to find the poisoned barrel is a.6b.4 c.3 d.2 192.Find the missing number 8 , 1 , 17 , 4 , 35 , 10 , 71 , ?, 143 22 20 12 21 193.there are 10 men and 10women are dancing . wats is he probabily tat 2 mens dance with same women or vise versa ? options 194.There are two box-es, one contains 12 red balls and the other containing 47 green balls. You are allowed to move the bal ls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is: 195.The chairman of Tata Motors, Ratan Tata, had 300 engineers work for 5 years designing the world's lowest-cost car,convinced that cost-conscious Indian drivers could live without air-conditioning and cup holders.However, after the booking started they found that only 23 percent of initial 253850 orders for the car-the nano-were for the no frills $2600 model.How much time(in days) would it have taken if there were 500 employees working for double the time? 196.On the planet Oz, there are 8 days in a week- sunday to saturday and another day called Oz day.There are 36 hours in a day and each
hours has 90 minutes while each minute has 60 seconds.As on the earth, the hour hand covers the dial twice everyday. Find the approximate angle between the hands of a clock on Oz when the time is 12:40am. 1> 111 degrees 2> 251 degrees 3> 71 degrees 4> 89 degrees 197. Alok is attending a workshop "How to do more with less" and today's theme is Working with fewer digits . The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits. 198. The problem posed at the end of the workshop is, How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? 199.A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied today and B said I too lied today. W hat is the day? 200. 19 people(a1,a2,….,a19)are invited to a party. The host and the hostess shake hands with each invitee and also with each other. The invitee shake hands in a circular fashion, i.e. the pairs(a1,a1),(a2,a3),….(a18,a19),(a19,a1)shake hands. So in all three are 58 handshakes. Let S be a set of people such that every pair in S shake hands. The size of S is at most a.2b.3 c.1 d.4 201. 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form? 202. A three multiple choice question has 4 options. Choosing the correct option earns the student 3 marks. However choosing the wrong option incurs negative marks so that if a student chooses an option randomly, his expected score is 0. Suppose a student has successfully eliminated 2 incorrect options. His expected score if he
chooses randomly among the remaining options is a.1.00 b.1.50 c.00 d.3 203. achilles son of nymph ,thetis, and peleus, the king of myrmidons.Zeus and Poseidon had been rivals for the hand of thetis until Prometheus, the fire bringer, warned zeus of a profeicy that thetis would bear a son greater than his father for th is reason the two gods withdrew thier persuit and had her wed peleus. the fallowing statements is another interesting prophecy about the ages o f two children of zeus that would hold true for sometime during the lifetime of the children.4 years ago athenas age was twice helens age.4 years hence athenas age will be 4/3 times the age of helen.Find athenas present age in binary numbers during the time that the statement holds true. options a)100 b)1001 c)101 d)1100 204. a multiple choice question has 4 options.choosing the correct option earns the student 3 marks and wrong option incurs negative marks, so that if a student chooses randomly his score is 0.suppose a student has eliminated 2 incorrect options.His score is if he chooses randomly among the remaining options -a)1 b)1.5 c)0 d)3 205. There are 11 boys in a fa mily. Youngest child is a boy. What is the probability of all are boys? 206. the citizen of a planet are 6 fingered and have developed a number system in base 6.a certain street in the planet co ntains 100 building numbered from 1 to 100. how many 4's are used in numbering these buildings?express in base 10. 207. The number of bacteria in a colony was growing exponentially. At 4 pm yesterday the number of bacteria was 400 and a t 6pm yesterday it was 3600. Howmany bacteria were there in the colony at 7 pm yesterday? a.3600 b.10800 c.32400 d.14400
208. On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 9:40 am. 209. 20 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence. a) 19 b) 21 c) 28 d) 7 210. the sum of two no is 5 and the product of the t wo is 14.what is the sum of their squares? 211. An athlete decides to run the same distance in 1/4th less time that she usually took. By how percent will she have to increase her average speed? 212. the sum of the squares of two no is 12 and their sum is 15.find the product ofthe two no? 213. Rearrange the following letters to make a word and choose the category in which it fits. RAPETEKA Vegetable City 214. what is the distance between the z-intercept from the x0intercept in the equation ax+by+cz+d=0. 215. Mr. behera wants to build a house for his wife. In this there are 5 rooms each having equal area. The length of each room is 4m,, breadth is 5m. The height of the r ooms is 2m. If to make a sq meter we need 17 bricks, then how many bricks are needed to make the floor of a particular room? 216. On Tuesday College parking palace have only 4wheelers and bicycles, total no of wheels was 182, then what is the possible no of bicycles? a) 20, b)19, c) 18, d)17
217. Mr. Das has 3 sons whose ages are respectively a, b, c. The grandfather has bought a cycle for the eldest son, mother has bought a bag for the youngest one which cost Rs. 150/. The sum of two age of the elder son and one son is 15. The difference of the age of sons is 3 & 2. Then what of the age of the elder son? a) 10, b) 11, c) 12, d) 13 218. x/2y=2a, then 2x/x-2ay=? 219. 19 people are invited to a party.the host and the hostess shake hands with each other and with each invited persons.the invited persons shake hand in a circular fashion, i.e. the pairs(a1,a2), (a2,a3)......(a18,a19), (a19,a1) shake hands.So in all there are 58 handshakes.Let S be a set of people such that every pair in S shake hands.The size of the S is atmost --a)2 b)3 C)1 d)4 220. The citizens of planet Oz are 6 fingered and thus have developed a number system in base 6. A certain street in Oz contains 1000 buildings numbered from 1 to 1000. How many 3’s are used in numbering these buildings? Express your answer in base 10. 221. Directions for Q28 to Q31 The summary of a poll conducted in a large residential complex on the residents’ preference for the colour of the paint to be used for the buildings is given below. Use this information to answer the following questions. 50% of the respondents preferred each of light green, sky blue and light pink. 15% preferred light green and sky blue, 22% preferred light pink and sky blue, 25% preferred light green and light pink and 5% preferred all the three colours. What percentage of respondents preferred none of the three colours? (a) 5 (b) 7 (c) Data is not sufficient. (d) Cannot say If 14 respondents had preferred none of the three colours, how many
had responded to the survey? (a) 300 (b) 150 (c) 200 (d) Cannot say Using the result obtained in the above question, find out how many respondents preferred exactly one colour? (a) 82 (b) 41 (c) 120 (d) Cannot say 222. If the percentage of respondents preferring light pink and sky blue and light green and light pink are changed to 27 and 30 respectively keeping all other figures intact, what percentage of respondents prefer none of the given three colours? (a) 1 (b) 0 (c) Data is inconsistent. (d) Cannot say
223. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should they be mixed to get an alloy which is 15 times as heavy as water? (a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 1 : 2 224. In which of the system, decimal number 194 is equal to 1234? 225. Usha and Neha were comparing the dress material they had purchased. It turned out that both had bought the material from the same store and interestingly having the same price tags, but Neha had paid Rs.150 more than Usha. On further probe, Neha found out that the shop keeper had given 3 successive discounts to Usha whereas she had managed only 2 successive discounts – the first two successive discounts had also been identical. If Neha paid Rs.1850, what was the additional discount Usha had managed? (a) 8 4/37 % (b) 15% (c) 7.5% (d) Cannot say 226. Graphs I, II and III of 3 functions and 3 functions A, B and C are given below. Match the graphs with the functions. GRAPH I GRAPH II GRAPH III Functions: A – sinx B – cosx C – tanx (a) IB, IIA, IIIC (b) IA, IIC, IIIB (c) IC, IIA, IIIB (d) IA, IIB, IIIC 227. If f(a + b) = f(a) + f(b) - 2f(a).f(b) and f(1) = 1, what is the value of f(2010)? (a) 0 (b) 1 (c) Cannot say (d) None of these 228. A lamp post of length 10 m casts a shadow of length 7.5 m. At the same time, a man casts a shadow of length 135 cm. What is the height of the man (in m)? (a) 170 (b) 180 (c) 1.8 (d) 1.6 229. Abhi and her husband work at 2 separate towns 200 km away from each other. They plan to meet at her parent’s house on a Friday evening. The house is on the highway connecting the two towns. Both
leave their respective offices at 5 pm in their cars. At 5:10 pm, Abhi realizes that she has missed to carry with her the sale deed of the new house they have bought and returns to her office to fetch it. As a result, she reaches her parent’s house later than her husband. If Abhi averaged 40 kmph and her husband 60 kmph, by how many minutes late was she? (a) 20 (b) 10 (c) 60 (d) Cannot say 230. Given 3 sets, A = {70, 70, 70, 70, 70}, B = {70, 70, 70, 70, 80} and C = {70, 72, 74, 76, 78}, which set has the maximum standard deviation? (a) A (b) B (c) C (d) B and C 231. If two sides of a triangle are 40 and 20, which of the following CANNOT be its perimeter? (a) 80 (b) 85 (c) 90 (d) Cannot say 232. A circular cylinder can hold 61.6 cc of water. If the height of the cylinder is 40 cm and the outer diameter is 16 mm, what is the thickness of the material of the cylinder? (a) 0.2 mm (b) 0.3 mm (c) 1 mm (d) 2 mm 233. In a two-dimensional array, X (5, 5), with each element occupying 2 bytes of memory, with the address of the first element X (1, 1) is 1000, find the address of X (4, 3). (a) 1046 (b) 1024 (c) 1034 (d) 1036 234. Which of the following pairs cannot be orthogonal? (a) (3, 5), (- 5, 3) (b) (3, 2), (- 2, 3) (c) (4, 5), (- 4, 5) ( d) (6, - 7), (7, 6) 235. If the decimal equivalent of 5434 to base x is 1246, what is the value of x? (a) 8 (b) 6 (c) 4 (d) 2 236. If the numerator of a fraction is increased by 10% and the denominator is increased by 20%, then the fraction reduces to ½. If
the denominator is more than the numerator by 5, what is the original fraction? (a) 7/12 (b) 8/13 (c) 6/11 (d) Cannot say 237. 8 6 17 14 35 31 75 _ 143? 238. the number of bacteria in a colony was growing exponentially.at 4 pm yesterday the number of bacteria was 400 and at 6 pm it was 3600.how many bacteria were there in the colony at 7pm? 239. A sheet of paper has statements numbered from 1 to 10. For all values of n from 1 to 10, statement n says At most n of the statement on this sheet is false. Which statements are true and which is false? 240. A lady has fine gloves and hats in her closet- 18 blue, 32 red,and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? 241. If the Valentine¶s Day in 2005 falls on Monday, then on which day will the Valentine¶sDay fall on 2010? A) Saturday b) Thursday c) Wednesday d) Sunday 242. Fermat’s Last Theorem is a statement in number theory which states that it is impossible to separate any power higher than the second into two like powers, or, more precisely - if an integer n is greater than 2, then the equation a ^ n + b ^ n = c ^ n has no solutions in non-zero integers a, b, and c. Now, if the difference of any two numbers is 9 and their product is 17, what is the sum of their squares? (a) 43 (b) 45 (c) 98 (d) 115
243. A person drives with constant speed and after some time he sees a milestone with 2 digits. Then he travels for 1 hour and sees the same 2 digits in reverse order. 1 hour later he sees that the milestone has the same 2 digits with a 0 between them. What is the speed of the car (in mph)? (a) 54 (b) 45 (c) 27 (d) 36 244. A sheet of paper has statements number from 1 to 1.for all values of n from 1 to 10 245. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together 246. There is magic dragon with 3 heads & 3 tails....u have a magic sword tht can cut 1 head,2 heads , 1 tail & 2 tails...if 1 head is cut another head grows...if 1 tail is cut 2 new tails grow...2 tails are cut a new head grows...& if 2 heads r cut no thing grows...find minimium number of swings 2 cut all heads & tails... 247.a lady had fine gloves and hats. 25 blue,7 red and 9 grey. she had to select a pair among them. but there was no light so she had to select in the darkness the correct pair with glove and hat. how many combinations of same color she can select? 248. A sheet of paper has statements numbered from 1 to 20. For each value of n from 1 to 20, statements n says ‘At least n of the statements on this sheet are tr ue.’ Which statements are true and which are false? 8) The odd numbered statements are true and the ev en numbered are false. 9) The first 13 statements are false and the rest are true. 10) The first 6 statements are true and the rest are false. 11) The even numbered statements are true and the odd numbered are false.
249. A lady took out jacket and gloves , which are available in blue 26,yellow 30 and red 56.Power goes off, she can distinguish between gloves and jacket but not in colors. What’s the possibility their she will pick up pair of gloves of each color? 250. How many 9 digit numbers are possible by using the digits 1,2,3,4,5, 251. Lady has 2 select gloves & hat from a basket is in the dark. She can distinguish hat 7 gloves, 14 red, 20 blue, 18 green are there. Find the probability that any selected glove pair has same color. 252.There is a bacteria which has the probability of die 1/3 of its total number or it may tripled . Found out the probability? A.P=1/3+ (2/3*p^3) B. P=2/3+(2/3* p^3) C.P=2/3+(1/3* p^3) D. P=2/3+ (2/3* p^3) 253. 20 men and 20 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa 254. 100 men & women dance with each other. W hat is the probability that a man cannot dance with more than two women? 255. There was a grandmother in a village who had a grandchild . Upon asking her grandchild’s age she told that she is older as many days old as her daughter’s age in weeks and as many days as her own age in years. The sum of the three is 130, then how old is the child? 256. There was a grandmother in a village who had two grandchild. Upon asking her younger grandchild's age she told that she is as older as many days old as her elder gr andchild's age in weeks and as many days as her own age in years. The sum of the three is 130.
then how old is the younger child? answer: grandmother age - 127 year. elder grand child - 127 weeks ~ 2.5 year younger child - 127 days ~ .5 year
what are the odds that the train produces for consecutive music tones of the same type?
257. A boy want to make a cuboid of dimension 5m,6m,7m from small cubes of .03 m3.later he realized ,he can make same cuboid by making it hollow. Then it take some cubes less. What is the no of these cube.
263. A lady builds 9cm length,10cm width,3cm height box using 3cubic cm cubes. What is the minimum number of cubes required to build the box?
258. Middle earth is fictional land inhabited by hobbits elves dwarves and men. The hobbits and the elves are peaceful creatures who prefer slow silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournoi is one where out of the t wo teams that play a match the one that loses get eliminated the matches are played in different rounds where in every round; half of the teams get eliminated from the tournament. If there are 6 rounds played in a knock out tournoi how many matches were played? (a) 42 (b) 64 (c) 63 (d) 65
264. out of 7 children the youngest is a boy then find the probability that all the remaining children are boys.
259. In the library, there are 10 tables, 4 chairs per table. in each table there are different numbers of people seated. how many ways they will sit in the library so that no chairs would be blank? 260. A circular dashboard of radius 1.0 ft is at the d istance of 20 ft from you. you throw a dart at it and it hits the dashboard at some point Q in the circle. what is the prob that Q is closer to the center of the circle thatn periphery? 261. A toy train produces 10 different sounds when it moves arrond a circular toy track of radius 5m at 10m per min. however, the toy train is defective and it now produces only 2 different sound at random.
262. The citizen of a planet are 6 fingered and thus have developed a number system in base 6. a certain street in the planet contains 1000 buildings, numbered from 1 to 1000. how many 3's are used in numbering these buildings? express in base 10
264. 1!+2!+.....=50!=?
265. One person had three children.He had 7 pennies. Find the distributions fruits among the three children. A melon costs 1penny,2 oranges cost 1 penny, 3 grapes cost 1 penny 266. a Girl made a block with small cubes of 8 cubic cm v olume to make a block , 3 small cubes long, 9 small cubes wide and 5 small cubes deep. the she realises she used more cubes than she needed.if it were made hollow then minimum number of cubes she needs is: 267. peter and paul are two friends.the sum of their age is 35 years.peter is twice as old as paul was when peter was as old as paul is now.what is the present age of peter? 268. There is a square. 5 circles are kept on th e diagonal of the square such that the two extreme circles touch the two sides of the square.each circle has equal radius.find the ratio of side of hte squae to that of the radius.
269. javagal,who decided to go to weekend trip should not exceed 8 hr, driving in a day.The average speed of forward journey is 40 mile/hr.Due to traffic on sunday, the return journey average speed is 30mile/hr.Hor far he can select a picnic spot? 270. find x in the series 3, 15, x, 51, 53,159,161 271. 4 years ago, Aditya's age was twice Anvesh's age. 4 years hence, Aditya's age will be 4/3 times the age of Anvesh. Find Aditya's present age. 272. The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a unique product of prime numbers. Now what is the smallest number by which 3380 must be divided in order to make it into a perfect square? 273. A man speaks truth 3 out of 4 times. He throws a die and r eports it to be a 6. What is the probability of it being a 6? 274. A power unit is by the bank of a river 1500m wide. It is required to construct a power plant on the side of the river opposite to the power unit and 3000mfrom the unit. A cable has to be laid from the power unit to the power plant. The cost of laying the cable under water and on the land is Rs 100 p er m and Rs 10 per m respectively. If we want to minimize the total cost of laying the cable, where should the plant be located? 275. Susan made a block with small cubes of 7 cubic cm volume to make a block 4 small cubes long, 4 small cubes wide and 10 small cubes deep. She realises that she has used more small cubes than she really needed. She realised that she could have glued a fewer number of cubes together to look like a block with same dimensions, if it were made
hollow. What is the minimum number of cubes that she needs to make the block? 276. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4 * v (t - 8) for t = 8 where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 8mm. How many years back did the solar blast occur? 277. Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens? 278. There are 9000 pillars for a temple.7 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 8 of 9000 pillars. Julia is shorter than Linda. F ind the correct sentence? 279. A lady has fine gloves and hats in her closet-18 blue,32 red,25 yellow.the lights are out and it is totally dark.In spite of the darkness ,she can make out the difference between a hat and a glove. she takes out an item out of the closet only if she is sure that if it is glove.how many gloves must she take out to make sure she has a pair of each color? 280a long thin strip of width 10cm is kept on a flat surface.another identical strip is kept on it as an overlapping manner such that the combined width of the two is 15cm.what is the width if 22 such strips kept like this? a.115cm
281. A long thin strip of width 7cm is kept on a flat surface.Another identical strip is kept on it in an overlapping manner such that the combined width of the two is 11 cm. What is the width of 55 such strips kept like this? 282. The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied? 283. How many 9 digit numbers are possible by using digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed? 284.lion and tiger r there.lion lies on Monday,tues,wends and tiger lies on thurs,frid,sat. Lion said that today is one of those days when I lies. Tiger said that today is one of those days when I lie too.Then find today? 285. In a village ,50% of the students play football, 60% of the student play basketball,40% of the student play cricket. 20% p lay both football and basketball ,20% play both football and cricket,25% play both cricket and baseketball.5% of the student play all the three games and 100 students play none of the games. 1)How many students are there in the college? 2)How many students play exactly two games? 3)How many students play neither cricket nor football? 4)How many students play exactly one game? 286.How many 9 digit numbers are possible by using digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed? a.57 b.56 c.59 d.58 287. 33 people {a1, a2,...........,a33} meet and shake hands in a circular fashion. In other words, ther e are totally 33 handshakes involving the pairs, {a1,a2}, {a2,a3},..........,{a32, a33}, {a33, a 1}. Then the size of the smallest set of people such that the rest have shaken
hands with at least one person in the set is a.11 b.13 c.24 d.50 288. There are a certain no of sweets in a box.They are divided in such a way that the person gets 1/4 of the whole get thrice of others.Find the no.of people amongest when the sweets were distributed. 289. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible? a) 122 b) 66 c) 48 d)1 28 290.Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter? a) 8 b) 20 c) 16 d) 15 291. A horse starts to chase a dog that has left the stable two hours earlier. The horse runs at an average speed of 2 km/hr. It crosses a 10-meter road,two small ponds 3 meter deep,and finally runs along two small streets of 200 meter long. After 6 hrs, 2 hrs after sunset, it catches the dog. Compute the speed of the dog in km/hr? 292. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes oes she need to make a perfect cube? 293. Anna, Bena, Catherina and Diana are at their monthly business meeting. Their occupations are author, biologist, chemist and doctor, but not necessarily in that order. Diana just told the neighbour, who is a biologist that Catherine was on her way with doughnuts. Anna is sitting across from the doctor and next to the chemist. The doctor was thinking that Bena was a good name for parent’s to choose, but didn’t say anything. What is each person’s occupation?
294. A speaks truth 70% of the time; B speaks truth 80% of the time. What is the probability that both are contradicting each other? 295. In a family 7 children don’t eat spinach, 6 don’t eat carrot, 5 don’t eat beans, 4 don’t eat spinach & carrots, 3 don’t eat carr ot & beans, 2 don’t eat beans & spinach. One doesn’t eat all 3. Find the no. of children. 296. There are 9 cards. Arrange them in a 3*3 matrix. Cards are of 4 colors. They are red, yellow, b lue, green. Conditions for arr angement: one red card must be in first row or second row. 2 green cards should be in 3rd column. Yellow cards must be in the 3 corners only. Two blue cards must be in the 2nd row. At least one green card in each row. 297. Is z less than w? z and w are real numbers. (I) z2 = 25 (II) w = 9 To answer the question, a) Either I or II is sufficient b) Both I and II ar e sufficient but neither of them is alone sufficient c) I & II are sufficient d) Both are not sufficient 298. A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the are of the larger field is greater than the ar ea of the smaller field by what amount? (a) 6K (b) 8K (c) 12K (d) 7K 299.Nine equal circles are enclosed in a square whose area is 36sq units. Find the area of each circle. 300. If Sarah sits on a bench that is behind where Jonathan is sitting, which of the following must be true ? a. Hillary sits in a seat or on a bench that is in front of where Marta is
sitting b. Lupe sits in a seat or on a bench that is in front of where Freddy is sitting c. Freddy sits on the same bench as Hillary d. Lupe sits on the same bench as Sarah e. Marta sits on the same bench as Vicky 301. Make six squares of the same size using twelve match-sticks. (Hint : You will need an adhesive to arrange the required figure) 302. A solution of 25 liters contain 20% sugar, if 10 liters of the solution is evaporated, find the percentage of sugar in the final solution. Solution since sugar is non volatile so o nly water will be evaporated, and density of the solution after adding sugar is also not given, so approximation by SARAVANAN.S is good. His answer is right 303. What is the largest prime number that can be stored in a n 8-bit memory? 304. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a) 50 b) 8 c) 60 d) 42 Solution: It is not given that how many of these items are gloves and how many are hats, if we consider that all the items are gloves then according to my opinion 32+25+2 = 59 gloves, she must take out to make sure she has a pair of each color.
305. A man was found murdured on 26.01.2008 afternoon. 1.His wife called police. 2.police questioned everyone. 3.Wife:sir,i was sleeping when the murder took place. 4.Cook:I was cooking. 5.Gardner:i was picking vegetables. 6.House-maid:i went to the post office. 7.Children:we went to the play. 8.Neighbour:we went to a marriage. police arrest the murderer immediately. who is it? Solution the murderer is house maid, because 26th of january is national holiday so post office should be closed in that day and house maid said to the police that he/she went to post office. 306.If Freddy sits immediately beside Vicky, which of the following cannot be true ? a. Jonathan sits immediately beside Sarah b. Lupe sits immediately beside Vicky c. Hillary sits in the front passenger seat d. Freddy sits on the same bench as Hillary e. Hillary sits on the same bench as Roberto 307. Which of the following groups of three can sit together on a bench? (a) Freddy, Jonathan and Marta (b) Fr eddy, Jonathan and Vicky (c) Freddy, Sarah and Vicky (d) Hillary, Lupe and Sarah (e) Lupe, Marta and Roberto 308. Amongst Ram, Sham and Gobind are a doctor, a lawyer and a police officer. They are married to Radha, Gita and Sita (not in order ). Each of the wives have a profession. Gobind’s wife is an artist. Ram
is not married to Gita. The lawyer’s wife is a teacher. Radha is married to the police officer. Sita is an expert cook. Who’s who? 309. What should come next? 1, 2, 4, 10, 16, 40, 64, 310. Questions 9-12 are based on the following : Three adults – Roberto, Sarah and Vicky – will be traveling in a van with five children – Freddy, Hillary, Jonathan, Lupe, and Marta. The van has a driver’s seat and one passenger seat in the front, and two benches behind the front seats, one beach behind the other. Each bench has room for exactly three people. Everyone must sit in a seat or on a bench, and seating is subject to the following restrictions: An adult must sit on each bench. Either Roberto or Sarah must sit in the driver’s seat. Jonathan must sit immediately beside Marta. 311. A father and his son go out for a ‘walk-and-run’ every morning around a track formed by an equilateral triangle. The father’s walking speed is 2 mph and his running speed is 5 mph. The son’s walking and running speeds are twice that of his father. Both start together from one apex of the triangle, the son going clockwise and the father anti-clockwise. Initially the father r uns and the son walks for a certain period of time. Thereafter, as soon as the father starts walking, the son starts running. Both complete the course in 45 minutes. For how long does the father run? Where do the two cross each other? 312.The Director of Medical Services was on his annual visit to the ENT Hospital. While going through the out patients’ records he came across the following data for a particular day : †Ear consultations 45; Nose 50; Throat 70; Ear and N ose 30; Nose and Throat 20; Ear and Throat 30; Ear, Nose and Throat 10; Total patients 100.†Then he came to the conclusion that the records were bogus. Was he right? 313. In a group of five people, what is the probability of finding two persons with the same month of birth?
314. Here is a series of comments on the ages of thr ee persons J, R, S by themselves. S : The difference between R’s age and mine is three years. J : R is the youngest. R : Either I am 24 years old or J 25 or S 26. J : All are above 24 years of age. S : I am the eldest if and only if R is not the youngest. R : S is elder to me. J : I am the eldest R : S is not 27 years old. S : The sum of my age and J’s is two more than twice R’s age. One of the three had been telling a lie thr oughout whereas others had spoken the truth. Determine the ages of S,J,R. 315. There are seventy clerks working in a company, of which 30 are females. Also, 30 clerks are married; 24 clerks are above 25 years of age; 19 married clerks are above 25 years, of which 7 ar e males; 12 males are above 25 years of age; and 15 males are married. How many bachelor girls are there and how many of these are above 25? Solution Distribution Total clerk = 70, Male = 40, Female = 30, Married clerks = 30, Male = 15, Female = 15, 25 plus married clerks = 19, Male = 7, Female = 12, 25 plus clerks = 24, Male = 12, Female = 12, 25 plus unmarried clerks = 5, Male = 5, Female = 0 so Bachelor girls = 15, none of them is above 25 316. A man sailed off from the North Pole. After covering 2,000 miles in one direction he turned West, sailed 2,000 miles, turned North and sailed ahead another 2,000 miles till he met his friend. How far was he from the North Pole and in what direction?
317. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed? a) 2000 b) 5000 c) 3000 d) 7000 Solution volume of the small cube = 0.03 m^3 so side of this cube = cubic root of 0.03 m^3 = .312 m so after removing the outermost layer the dimensions for the inner cuboid will be (5-2*0.312), (6-2*0.312), (7-2*0.312) so total volume will be (4.376)*(5.376)*(6.376) = 150 m^3 so no of cubes will be 150/0.03 = 5000 so we can remove 5000 inner cubes 318. Simple question bt big one on average age.sth like a,b,c weigheted separately 1st a,b,c ,then a& b,then b&c ,then c&a at last abc,the last weight was 167,then what will be the avg weight of the 7 weight? 319. A woman had so many gloves and hats 22 red,34 blue, 45 white...there was power cut and she took a glove and how many gloves shud she take so that she gets a pair of glove fr each color?? 320. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train? (a) 100m (b) 75m (c) 120m (d) 50m 321. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary? (a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900
322.2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples? (a) Rs10 (b) Rs15 (c) Rs20 ( d) Rs25 323. If on an item a co mpany gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the pro fit percentage. (a) 40% (b) 55% (c) 35% (d) 30% Solution let the selling price is 100 rupee on giving 25 % discount the price will be 75,on selling the object in 75 rupee profit = 25 % so o riginal cost will be 75*100/125 = 60 now on giving 10 % discount selling cost will be 90 it means 30 rup ee gain on an investment of 60 rupee so profit on investment = 30*100/60 = 50 % (correct answer) none of the option is correct if we calculate profit % on the basis of pr int price then it will be 30*100/100 = 30 but this is not a true method 324. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work? (a) 8 (b) 14 (c) 16 (d) 18 325. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand. (a) 11a.m (b) 12a.m (c) 10a.m (d) 10.30p.m 326. A pizza shop, there were 2 kinds of pizzas available. But now they have introduces 8 new types, a person buy two different type
pizzas of new type in how many ways he can select? (a) 24 (b) 43 (c) 56 (d) 58 Solution a person buy two different type pizzas of new type so methods will be 8*7/2 = 28 327. A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there? (a) 100 (b) 114 (c) 200 (d) 208 328. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre ever y hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B.( At the end of first hour, B has 10 litres , second hour it has 20, and so on) . If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely? (a) 26 hrs (b) 25 hrs (c) 5 hrs (d) 27 hrs 329. A man jogs at 6 mph ov er a certain journey and walks over the same route at 4 mph. What is his average speed for the journey? (a) 2.4 mph (b) 4 mph (c) 4.8 mph (d) 5 mph 330. Middle – earth is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games . The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round , half of the teams get eliminated from the tournament. If there are 8 rounds played in a knock-out tournol how many matches were p layed? (a) 257 (b) 256 (c) 72 (d) 255 331. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How
many socks do I have to take from the drawer to get at least two socks of the same color? (a) 2 (b) 3 (c) 48 (d) 25
between 150 and 200 only prime numbers. how many time 6 will appear in building numbering? (a) 10 (b) 20 (c) 8 (d) 19
332. 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence. (a) 22 (b) 23 (c) 44 (d) 46
Solution
333. Which is the smallest no divides 2880 and gives a perfect square? (a) 1 (b) 2 (c) 5 (d) 6 334. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child? (a) 5 (8) 10 (c) 8 (d) 15 335. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age o f seventh person? (a) 69 (b) 70 (c) 40 (d) 45 336. 3, 22 , 7, 45, 15, ? , 31 (a) 45 (b) 90 (c) 91 (d) 35
Building numberings are 6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 76, 86, 96 Shop numbering are 163, 167 Since they are asking only for buildings so answer will be 20 (shop numbers will not be counted) Ans: 20 339. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five t imes as much as each nephew, how much does each daughter r eceive? (a) Rs.800 (b) Rs.600 (c) Rs.200 (d) Rs.700 340. A train starts full of passengers. At the first station, it drops onethird of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On ar riving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning. (a) 240 (b) 248 (c) 280 (d) 288
337. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of t he components were rejected. What is the loss to the manufacturer? (a) Rs.12000 (b) Rs.13000 (c) Rs.14000 (d) Rs.15000
341. A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?
338. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered
342. Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000.
They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years? (a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000 Solution Total duration = 18 years increment period = 3 years so no. of increments = 18/3 = 6 output = 2000 * (1.5)^6 = 22781.25 343. If an airplane starts at point R a nd travels 14 miles directly north to S, then 48 miles directly east to T, what is the straight-line distance (in miles) from T to R? (a) 25 (b) 34 (c) 50 (d) 2500 Solution These two distances are in different directions, and are making a right angled triangle in which hypotenuse will be the result so answer will be as given by SHIVAM. ans:c (14^2+48^2)^1/2 = (196 + 2304)^1/2 = (2500)^1/2 = 50 344. A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and re ached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear? (a) Black (b) White (c) Red (d) Blue 345. A horse starts to chase a dog that has left the stable two hours earlier. The horse runs at an average speed of 2km/hr. It crosses a 10-metre road, two small ponds 3 metres deep, and finally runs along
two small streets of 200 metres long. After traveling 6 hrs, 2hrs after sunset, it catches the dog. Compute the speed of the dog in Km/hr? (a) 20 (b) 22 (c) 16.5 (d) 18.5 346. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian Athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game . How many teams participated in the race? (a) 30 (b) 32 (c) 41 (d) 54 347. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' W hich statements are true and which are false? a) The even numbered statements are true and the odd n umbered statements are false. b) The odd numbered statements are true and the ev en numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false. 348. A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live? (a) 70 (b) 69 (c) 71 (d) 72 349. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at rando m and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is a)1/2 b)14/19 c)37/38 d)3/4
350. A circular dartboard of radius 1 foot is a t a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery? a) 0.75 b) 1 c) 0.5 d) 0.25 Solution Since according to requirement we have to locate Q closer to center in comparison to the circumference, for doing this we shall make a circle in that board whose radius will be half of the radius of dartboard.now we will compare the area of inner circle to the total area Answer of DIPIN is correct area of whole circle = pi*(1 foot)^2 = pi ( this is according to formula area = pi*(radius)^2 similarly area of inner circle = pi*(1/2foot)^2 = pi/4 so ratio of areas of these two circles will be the pro bability and that is 1/4 351. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed? a) 16 b) 6 c) 10 d) 60 352. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a) 1 b) 3 c) 4 d) 0 Solution Answer will be (c) There will be four points satisfying the given condition one point will be incentre of the circle and other three will be
excentres 352. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. 353. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is a) 3 b) 5 c) 2 d) 1 Solution The meaning of this question is little complicated. In easy language the question should be: 354. There are some points in the plane. We have to make a separation between these points by forming a line in such a way that one point could be separate from the others. No 3 points ar e in a line. Maximum no of methods for plotting the line and minimum no of methods for plotting the line will be (arrangement of points is your choice) Now Answer Is: For Maximize: The number of methods, Points should be drawn in the circumference of the CIRCLE So answer would be the number of total point in the plane. For minimize: The number of methods we should draw 3 points in a TRIANGLE and all other point inside this triangle in such a way that no 3 points could be in a line. If it will be allowed to draw the points in a line then minimum possibilities will be 2 only, because if we take a ll points in a line then
you can separate only the corner points from the others. For example If we have 10 points then maximum possibilities = 10 and minimum = 3 similarly for 5 points Max = 5, Min = 3 for 19 max= 19 Min = 3 355. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? a) 54 b) 64 c) 265 d) 192 356. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color? a) 2 b) 3 c) 48 d) 25 357. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed? a) 57 b) 56 c) 59 d) 58 Solution: _ _ _ _ _ _ _ _ _ (9 digit number) Digits that can be used = 1, 2, 3, 4 and 5 For a number to divisible by 4, the last two digits have to be divisible by 4 So, the units digit cannot be 1, 3 or 5 If the units digit is 2, only 12, 32 adn 52 are acceptable as the last two digits If the units digit is 4, only 24 and 44 are acceptable as the last two digits. So, total 5 cases 12,24,32,44,52 are possible for the last two digits.
Now, the first 7 digits of the 9 d igit number can be filled in 5^7 ways as each place can be filled by 1, 2, 3, 4 or 5. So, desired answer = 5^7*5 = 5^8 This answer is given by Amitesh kumar and is right but he used 57 in place of 5^7 and 58 in place of 5^8, so we made a correction 358. In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers? a) 18 b) 19 c) 20 d) 21. Solution 4, 14, 24, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 54, 64, 74, 84, 94 total 20 times 4 is there 359. If there are 30 cans out o f them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are r equired to find the poisoned can? a) 3 b) 2 c) 6 d) 1 360. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d r epresents the diameter in mm and t the nu mber of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a) 17 b) 21.25 c) 12.25 d) 14.05 Solution some fonts in the question ar e meaningless, so it is difficult to understand the meaning clearly. If we consider the meaning as d = 4*(t-9) then according to the given condition r = 7 mm so diameter =
14 mm, on putting d = 14, we get 14 = 4*(t-9) or 3.5 = t-9 or t = 12.5 361.A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is? a) North b) South c) East d) West 362. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible? a) 6 b) 21 c) 28 d) 7 363. 20 men handshake with each other without repetition. What is the total number of handshakes made? a) 190 b) 210 c) 150 d) 250 364. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round? a) 256 b) 512 c) 64 d) 128 365. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible? a) 122 b) 66 c) 48 d)1 28
Solution 366. there is a fault in the problem 22 males + 17 females = 39 persons not 49 but it is not affecting the answer so VAMSI KRISHNA REDDY gave correct answer
367. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? 368. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa? a) 22 b) 20 c) 10 d) none 369. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Like wise B can fill 10, 20, 40, 80, 160. If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely? a) 9 B) 8 c) 7 d) 6 370. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes oes she need to make a perfect cube? a) 910 b) 250 c) 750 d) 650 371. Find the value of @@+25-++@16, where @ denotes “square†and + denotes “square root†. 372. If f(0)=1 and f(n)= f(n-1)*n, find the value of f(4). 373. In the word ECONOMETRICS, if the first and second , third and forth ,forth and fifth, fifth and sixth words are interchanged up to the last letter, what would be the tenth letter from right? Find the physical quantity in units fr om the equation: (Force*Distance)/(Velocity*Velocity)
374. The ques on a man,a woman and a boy finish work together in 6 days.man takes 10 days,woman takes 24 days then how much boy will take? 375. If DDMUQZM is coded as CENTRAL then RBDJK can be coded as? 376. If the word ‘ddosszm’ is changed to ‘central’ then what will be the change for ‘ rtjbl’ ? 377. The word unimpressive was given.they asked us to do change 1st & 2nd,3rd & 4th,so on.then they asked what will be 10th letter from right? 378. Refer to the figure below. A ship started from P and moves at a speed of I miles per hour and another ship starts from L and moving with H miles per hour simultaneously .Where do the two ships meet? ||—g—||—h—||—i—||—j—||—k—||—l—|| PG H I J K L are the various stops in between denoted by || . The values g, h, i, j, k, l denote the distance between the ports. 379.If A is travelling at 72 km per hour on a highway. B is travelling at a speed of 25 meters per second on a highway. What is the difference in their speeds in m/sec. 380. With a 4/5 full tank a ve hicle can travel 12 miles, how far can it travel with a 1/3 full tank 381. There are two trees in a lawn. One grows at a rate 3/5 of the other in 4 years. If the total growth of trees is 8 ft. W hat is the height of the smaller tree after 2 years 382. In a mixture, R is 2 parts and S is 1 part. In order to make S to 25% of the mixture, how much of R is to be added?
383. Wind flows 160 miles in 330 min, for travelling 80 miles how much time does it require? 384. A person was fined for exceeding the speed limit by 10 mph. Another person was also fined for exceeding the same speed limit by twice the same. If the second person was travelling at a speed of 35 mph, find the speed limit. 385. A bus started from bus stand at 8.00am, and after staying for 30 minutes at a destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus is 18mph. During the return journey bus travels with 50% faster speed. At what time does it return to the bus stand?
386.A salesperson by mistake multiplied a number and got the answer as 3, instead of dividing the number by 3.What is the answer he should have actually got?
396. In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.
387. A building with height D shadow upto G. What is the height of a neighbouring building with a shadow of C feet.
397. If Rs.1260 is divided between between A, B and C in the ratio 2:3:4, what is C’s share?
388. The lowest temperature in the night in a city A is 1/3 more than 1/2 the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the low temp?
398. What is the 12th term of the series 2, 5, 8,
389. Javagal, who decided to go to weekened trip should not exceed 8 hours driving in a day. The av erage speed of forward journey is 40 miles/hr.Due to traffic on sundays, the r eturn journey’s average speed is 30 m/h. How far he can select a picnic spot? 390. Some work is done by two people in 24 minutes. One of them can do this work alone in 40 minutes. How much time does the second person take to do the same work ?
399. If 20 men take 15 days to to complete a job, in how many days can 25 men finish that work? 400. Fathers age is 5 times his son’s age. 4 years back the father was 9 times older than son. Find the fathers’ present age. 401. What number should be added to or subtracted from each term of the ratio17 : 24 so that it becomes equal to 1 : 2 ? 402. The sum of the digits of a two digit number is 8. When 18 is added to the number, the digits are reversed. Find the number?
391. A car is filled with four and half gallons of fuel for a round trip.If the amount of fuel taken while going is 1/4 more than the amount taken for coming, what is the amount of fuel consumed while coming back?
403. The cost of one pencil, two pens and four e rasers is Rs.22 while the cost of five pencils, four pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?
392. Hansie made the following amounts in seven games of cricket in India: Rs.10, Rs.15, Rs.21, Rs.12, Rs.18, Rs.19 a nd Rs.17(all figures in crores of course).Find his average earnings.
let the cost of 1 pencil, 1 pen and 1 eraser are respectively x, y, z. Then according to the given condition 1x + 2y + 4z = 22 5x + 4y + 2z = 32 on adding these two equations we get 6x + 6y + 6z = 54 or 3x + 3y + 3z = 27
393. If two pencils cost 8 cents, then how much do 5 p encils cost? 394. A shopkeeper bought a watch for Rs.400 and sold it for Rs.500.What is his profit percentage? 395. What percent of 60 is 12?
Solution
404. A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east. How far is A from his starting point?
405. A car travels 12 kms with a 4/5th filled tank. How far will the car travel with 1/3 filled tank? 406. A is driving on a highway when the police fines him for over speeding and exceeding the limit by 10 km/hr. At the same time B is fined for over speeding by twice the amount by which A exceeded the limit. If he was driving at 35 km/hr what is the speed limit for the road? 407. There are 150 weights. Some are 1 kg weights and some are 2 kg weights. The sum of the weights is 260. What is the number of 1kg weights? 408. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number? (a) 240 (b) 270 (c) 295 (d) 360 409. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is: 410. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? (a) 4 (b) 10 (c) 15 (d) 16 411. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Wha t is the average age of the team? (a) 23 years (b) 24 years (c) 25 years (d) None of these
412. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010 (a) Sunday (b) Saturday (c) Friday (d) Wednesday 413. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? (a) 360 (b) 480 (c) 720 (d) 5040 414. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train? (a) 100m (b) 75m (c) 120m (d) 50m 415. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary? (a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900 416. 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples? (a) Rs10 (b) Rs15 (c) Rs20 ( d) Rs25 417. If on an item a co mpany gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the pro fit percentage. (a) 40% (b) 55% (c) 35% (d) 30% 418. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work? (a) 8 (b) 14 (c) 16 (d) 18
419. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand. (a) 11a.m (b) 12a.m (c) 10a.m (d) 10.30p.m
425. 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence. (a) 22 (b) 23 (c) 44 (d) 46 Solution
420. A pizza shop, there were 2 kinds of pizzas available. But now they have introduces 8 new types, a person buy two different type pizzas of new type in how many ways he can select? (a) 24 (b) 43 (c) 56 (d) 58
this question is based on cyclic sequence so n umber of handshakes = n = 23 (last person will get a handshake with the first person. if these persons would be in a straight line then no. of methods = 23-1 = 22 similarly for a random handshake answer will be 23*22/2*1 = 253
421. A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there? (a) 100 (b) 114 (c) 200 (d) 208
426. Which is the smallest no divides 2880 and gives a perfect square? (a) 1 (b) 2 (c) 5 (d) 6
422. There are 10 reading spots in a r oom. Each reading spot has a round table. Each round table has 4 chair. If d ifferent no of persons are sitting at each reading spot. And if there are 1 0 persons inside the room then how many reading spots donot have atleast a single reader. (1) 5 (2) 6 (3) 7 (4) None
427. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child? (a) 5 (8) 10 (c) 8 (d) 15
423. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his aver age speed for the journey? (a) 2.4 mph (b) 4 mph (c) 4.8 mph (d) 5 mph
428. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age o f seventh person? (a) 69 (b) 70 (c) 40 (d) 45
424. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color? (a) 2 (b) 3 (c) 48 (d) 25
429. 3, 22 , 7, 45, 15, ? , 31 (a) 45 (b) 90 (c) 91 (d) 35 430. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%.
However, as it turned out, 50% of t he components were rejected. What is the loss to the manufacturer? (a) Rs.12000 (b) Rs.13000 (c) Rs.14000 (d) Rs.15000 431. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering? (a) 10 (b) 20 (c) 8 (d) 19
they have in all at the end of e ighteen years? (a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000 436. If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east to T, what is the straight-line distance (in miles) from T to R? (a) 25 (b) 34 (c) 50 (d) 2500
432. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter r eceive? (a) Rs.800 (b) Rs.600 (c) Rs.200 (d) Rs.700
437. A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and re ached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear? (a) Black (b) White (c) Red (d) Blue
433. A train starts full of passengers. At the first station, it drops onethird of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On ar riving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning. (a) 240 (b) 248 (c) 280 (d) 288
438. A horse starts to chase a dog that has left the stable two hours earlier. The horse runs at an average speed of 2km/hr. It crosses a 10-metre road, two small ponds 3 metres deep, and finally runs along two small streets of 200 metres long. After traveling 6 hrs, 2hrs after sunset, it catches the dog. Compute the speed of the dog in Km/hr? (a) 20 (b) 22 (c) 16.5 (d) 18.5
434. A garrison of 3300 men has pr ovisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement? (a) 1700 (b) 1000 (c) 3000 (d) 2700
439. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian Athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race? (a) 30 (b) 32 (c) 41 (d) 54
435. Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did
440. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it cr ossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog. compute the speed of dog?
441. A Roman was born the first day o f the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live? (a) 70 (b) 69 (c) 71 (d) 72 442. The teacher is testing a student’s proficiency in arithmetic and poses the following question. 1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can you help the student find the answer? a) 12 b) 18 c) 6 d) 21 443. Where X, Y and Z a re variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z) . Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be a) 2 b) 4 c) 9 d) -18 444. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a) 4 b) 3 c) 0 d) 1 445. A sheet of paper has statements numbered from 1 to 45. For all values of n from 1 to 45, statement n says “At most n of the statements on this sheet are false†. Which statements are true and which are false? A. The odd numbered statements are true and the ev en numbered are false. B. The even numbered statements are true and the odd n umbered are false. C. All statements are true.
446. A sheet of paper has statements numbered from 1 to 45. For all values of n from 1 to 45, statement n says “At most n of the statements on this sheet are false†. Which statements are true and which are false? A. The odd numbered statements are true and the even numbered are false. B. The even numbered statements are true and the odd n umbered are false. C. All statements are true. 447. A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 1face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? a) 900 b) 488 c) 563 d) 800 448. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes? a) 72 b) 432 c) 12 d) 144 449. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to hi m on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All suspects are lying B. leftmost suspect is innocent . C. leftmost suspect is guilty a) A only b) A or C c) A or B d) B only
450. 12 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, { a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is a) 12 b) 4 c) 18 d) 11 451. 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle†of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs { a1, a2}, {a2, a3}, ……, {ak-1, ak}, { ak, a1} shake hands). a)7 b) 6 c) 9 d) 8 Solution The question is not written in proper manner but we can work in 3 methods 1) If these are random handshakes, then total methods = 10*9/2*1 = 45 2) If these are cyclic handshakes, then total methods = 10 3) If these persons are not cyclic but they are ar ranged in a straight bench, then number of methods = 9 452. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one l itre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. ( At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/16 filled after 4 hours, what is the total duration required to fill it completely? a) 8hrs b) 25 hrs c) 5 hrs d) 27 hrs 453. The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many
3s are used in numbering these buildings? a) 256 b) 54 c) 192 d) 108 454. The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 6) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? answer: in decimal system total no. of 3's from 1 to 1000 ar e 100*3 = 300 in base 6, value of 300 = 3 *(6^2) + 0*(6^1) + 0*(6^0) = 108 455. The pace length P is the distance between the rear o f two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pace length in meters. Bernard knows his pace length is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph. a) 23.62 b) 8.78 c) 11.39 d) 236.16 Solution n/P = 144 n = 144 * P P = 1.64 n = 144 * 1.64 = 236.16 approx 236 steps per minute we are taking n in integer for it represents no. of steps now v = d / t v = 1.64 * 236 meter/minute v = 387.04 meter / minute or v = (387.04/1000)/(1/60) or v = 387.04*60/1000 = 23.2224 456. Anoop managed to draw 7 circles of equal radii with their centers on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the
square. a) 1:(4+ 7v3) b) 1:(2+ 6v2) c) 1:(2+ 7v2) d) (2+ 7v2):1 Solution Let the radius of circle be r let the side of square be a then diagonal of square= a*sqrt(2) This diagonal length = 12*r + 2r * sqr t(2) (because the extreme circle's radius is perpendicular to side of square.) Thus we get 12*r+2r*sqrt(2)=a*sqrt(2) r(6*sqrt(2)+2)=a r/a=1/(6*sqrt(2)+2) Thus ratio: r:a = 1:(6*sqrt(2)+2) Ans: 1:(6*sqrt(2)+2) 457. There are 1000 pillars for a temple. 3 friends Linda, Chelsea, Juli visited that temple. (Som unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Juli is shorter than Linda. Find the correct sentence? a) Linda is shorter among them b) Chelsea is taller than Juli c) Chelsea is shorter than Juli d) Cannot determine who is taller among Chelsea and Juli 458. Horse started to chase dog as it relieved stable two hrs. ago. And horse started to ran with average speed 22km/hr., horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs., 2hrs after sunset it got dog. compute the speed of dog?
459. Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the ot her side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e. no three points in P lie on a line) is a) 3 b) 5 c) 2 460. There are some points in the plane. We have to make a separation between these points by forming a line in such a way that one point could be separate from the others. No 3 points are in a line. Maximum no of methods for plotting the line and minimum no of methods for plotting the line will be (arrangement of points is your choice) Now Answer Is: For Maximize: The number of methods, Points should be drawn in the circumference of the CIRCLE So answer would be the number of total point in the plane. For minimize: The number of methods we should draw 3 points in a TRIANGLE and all other point inside this triangle in such a way that no 3 points could be in a line. If it will be allowed to draw the points in a line then minimum possibilities will be 2 only, because if we take a ll points in a line then you can separate only the corner points from the others. For example If we have 10 points then maximum possibilities = 10 and minimum = 3 similarly for 5 points Max = 5, Min = 3 for 19
max= 19 Min = 3 461. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? a) 54 b) 64 c) 265 d) 192 462. 21 people meet and shake hands. The maximum number of handshakes possible if there is to be no ‘cycle’ of handshakes is (A cycle of handshakes is a sequence of people a1, a2, … , aK such that the pairs (a1, a2), (a2, a3),… , (a (k-1), a k) , (ak, a1) shake hands. a) 17 b) 18 c) 19 d) 20 463. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All suspects are lying. B. leftmost suspect is innocent. C. leftmost suspect is guilty 464. Alice and Bob play th e following coins-on-a-stack game. 50 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i b elow the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a p layer's turn then the player wins the game.
Initially, the gold coinis the third coin from the top. Then a) In order to win, Alice’s first move should be a 0-move. b) In order to win, Alice’s first move should be a 1-move. c) Alice has no winning strategy. d) In order to win, Alice’s first move can be a 0-move or a 1-move 465. There is a planet oz . The people there are four fingered and reside in 4 – dimensional space and thus the currency used by its residents are 3 – dimensional objects. The rupees notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. · The diameter of the coins should be at least 16mm and no t exceed 64mm · Given a coin, the diameter of the next larger coin is at least 50% greater. · The diameter of the coin must always be an integer. You are asked to design a set of coins of d ifferent diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? 466. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a) 4 b) 3 c) 1 d) 0 467. Mr. Bean went to a shop for buying a gift to his wife on her Birthday. He bought 28 purple marbles as her wife was fond of marbles. He also bought 21greem marbles. While coming out of the shop on the way he also bought 24 r ed, 42 yellow and 12 pink marbles and he put them all in a bag. When he was returning back to the home a lightning occurred and suddenly due to some reasons the red, green, and yellow balls got converted into white color. But in spite of this Mr. Beans decided to give few marbles to his lovely wife.
So, how many times he should put his hand in the bag so that he can gift his wife at least one ball of each color. 468. A circular dartboard of radius 1 foot is a t a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at s ome point Q in the circle. What is the probability that Q is closer to the center of the circle than the per iphery? a)0.75 b)1 c)0.5, d)0.25 Solution: Since according to requirement we have to locate Q closer to center in comparison to the circumference, for doing this we shall make a circle in that board whose radius will be half of the radius of dartboard.now we will compare the area of inner circle to the total area Answer of DIPIN is correct area of whole circle = pi*(1 foot)^2 = pi ( this is according to formula area = pi*(radius)^2 similarly area of inner circle = pi*(1/2foot)^2 = pi/4 so ratio of areas of these two circles will be the pro bability and that is ¼. 469. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope? a) 0 b) 1/12 c) 11/12 d) 12/212 470. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' W hich statements are true and which are false? a) The even numbered statements are true and the odd n umbered statements are false.
b) The odd numbered statements are true and the ev en numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false. 471. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total? a) 6 b) 18 c) 72 d) 12 472. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny planetoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4 * sqrt (t – 8)for t = 8 Where the represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter? a) 8 b) 16 c) 25 d) 2 473. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are false? a) The even numbered statements are true and the odd n umbered are false. b) The odd numbered statements are true and the ev en numbered
are false. c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false.
E? Solution: ADBEC
474. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get e liminated from the tournament. If there are 8 ro unds played in knock out tournament, how many matches were played? a) 257 b) 256 c) 72 d) 255
479. (1/3) of a number is 3 more than the (1/6) of the same number? a) 6 b) 16 c) 18 d) 21
475. how many 8 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?
480. Shreya writes 1st 100 whole num. let A and B be the num of times she writes 0 and 9 respectively, find the value of A+B 481. When my uncle died, he left a will instructing his executers to divide his estate of 19,80,000 in this manner.Every son should receive 3 times as much as a daughter and that evry daughter should get twice as much as their mother. what is my aunt's maximum share if my uncle has atleast one son and one daughter? (a) 19,80000 (b) 9,90,000 (c) 3,30,000 (d) 2,20,000 (e) 1,98,00
477. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a) 50 b) 8 c) 60 d) 42
482. Alok and Bhanu play the following min-max game . Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be? Note: For this type of questions: x+y-z=11 x-y-z=2 x*(y+z)=18 What should be the approach to do such type of prob?
478. There are 3 boys A,B,C and 2 girls D,E. D always sit right to A.girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. who is sitting immediate right to
483. Consider two tumblers, the f irst containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take
476. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160. If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely? a) 9 B) 8 c) 7 d) 6
one spoon of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now? a) There is less coffee in the first tumbler than water in the second tumblers b) There is more coffee in the firs tumbler than water in the second tumbler c) There is as much coffee in the fir st tumbler as there is water in the second tumbler d)None of the statements holds true
484. On the planet Oz, there are 8 d ays in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am. Solution Since total hours in a day = 36 and as on earth, the hour hand covers the dial twice every day. so there will be 18 numbers from 1 to 18 in the clock. when the time will be 12:40, two hands of the clock will make an angle of 20*4 = 80 degree, here 2 0 is the angle between two numbers in the clock. now for 80 min, advancement of the hour hand will be (20/90)*40 = 80/9 so total angle = 80 + (80/9) = 800/9 = 88.889 degree if we consider the obtuse angle, then it will be 360-88.889 = 271.111 degree 485. There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that is not needed for the question) All of the following combinations are possible to make a perfume except: 1) Balsamic and Lilac 2) Woody and Lemon 3) MI mosaic and Woody 4) MI mosaic and Lilac
486. If there are 30 cans out o f them one is poisened if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisened can? A) 3 B) 2 C) 6 D) 1 Solution 1 mouse is sufficient to get the result... At 1st min the mouse tastes 1st can & dies at 14hr 1 min. After 15 mins the mouse tastes 2nd can & dies at 14hr.15 Min After 30 mins the mouse tastes 3rd can & dies at 24 hr 30 mins. . . After 7 hrs the mice tastes 29th can & dies after 21 hrs If the mice is till alive after 21 hrs, then the p oison will be in the 30th Can.... this answer is given by DIPIN and is correct answer 487. A Sheet of paper has statements number from 1 to 20. Statement n says "At least n of the statements on this sheet are true". Which statements are true and which are false. a. The even no statements are true and the odd no statements are false. b. The 1st 13 statements are false and rest are true. c. The 1st 6 statements are true and rest are false d. The odd no statements are true and even no. are false. 488. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will pr ovide the exact change required and carry as less coins as possible? a) 4 b) 5 c) 6 d) 7
489. John buys a cycle for 31 dollars and given a cheque of a mount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper? a) loss 23 b) gain 23 c) gain 54 d) Loss 54 490. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d r epresents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a) 17 b) 21.25 c) 12.25 d) 14.05
491. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of st reet-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to dr ive that distance. a) 20.72 b) 3.5 c) 238.25 d) 6.18 492. A lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a) 50 b) 8 c) 40 d) 42 493. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option? a) 1/2 b) 1/6 c) 1/12 d) 6/10 494. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets f illed up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours r equired to fill it completely? a) 26 B) 25 c) 5 d) 27
495. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys a) 1/64 b) 1/32 c) 1/128 d) 1/256 496. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same t ime. Likewise B can fill 10, 2 0, 40, 80,160….if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely? 497. (1/2) of a number is 3 more than the (1/6) of the same number? a) 6 b) 7 c) 8 d) 9 498. Susan made a block with small cubes of 8 cubic cm volume to make a block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? a) 114 b) 135 c) 21 d) 71 Solution The total volume (in terms of number of cubes) of the solid = 3*9*5 = 135 The total volume (in terms of number of cubes) of the hollow = (32)*(9-2)*(5-2) = 21 so number of cubes required = 135-21 = 114 499. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest ar e ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a
(smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true? a) In order to win, Alok should remove O1 on his first turn. b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn. c) In order to win, Alok should remove O2 on his first turn. d) Alok has no winning strategy. 500. Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of the following are necessarily true? A. The points in P lie on a circle. B. The distance between any pair of points in P is larger than the distance between X and a point in P a) A and B b) Neither A nor B c) B only d) A only
501.In the year 2002, Britain was reported to have had 4.3m closed – circuit television (CCTV) cameras – one for every 14 people in the country . This scrutiny is supposed to deter and detect crime. In one criminal case, the police interrogates two suspects . The ratio between the ages of the two suspects is 6:5 and the su m of their ages is 6:5 and the sum of their ages is 55 years. After how many years will the ratio be 8:7.? a) 11 b) 6 c) 10 d) 5 502. A man jogs at 6 mph ov er a certain journey and walks over the same route at 4 mph. What is his average speed for the journey? a) 2.4 mph b) 4 mph c) 4.8 mph d) 5 mph 503. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up . The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month? a) $27 b) $ 18 c) $45 d) $ 486 Solution difference of cost in one box = 45-27 = 18 so for 27 boxes difference = 18*27 = 486 504. Francois Pachet, a researcher at Sony Computer Science laboratories is also a jazz musician. He decided to build a robot able to improvise like a pro. Named Continuator, the robot can duet with a live musician in real- time. It listens to a musical phrase and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between and then computes a complementary phrase with the same playing style. If the cost of
making the robot is divided between materials, labour and overheads in the ratio of 4:6:2.If the materials cost $108. the cost of the robot is a) $270 $270 b) $324 c) $216 $216 d) $ 648 505. A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. The lights are out and it is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each colour? a) 50 b) 8 c) 60 d) 42 506. There are two water tanks A and B, A is much smaller smaller than B. While water fills at the rate of one l itre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B.( At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely? a) 26 hrs b) 25 hrs c) 5 hrs d) 27 hrs 507. Consider two tumblers, the first containing one litre of coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now? a) There is less coffee in the first tumbler than water in the second tumbler. b) There is more coffee in the firs tumbler than water in the second tumbler c) There is as much coffee in the fir st tumbler as there is water in the second tumbler d) None of the statements holds true. 508. Middle – earth is a fictional land land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The
dwarves and the men engage in physical game s. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in a knock-out tournol how many matches were p layed? a) 257 b) 256 c) 72 d) 255 509. A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of laboratory experiments. To identify the mice, the lab has prepared labels with numbers 1 to 100, by combining tags numbered 0 to 9. The SPCA requires that the tags be made of toxinfree material and that the temperature of the cages be maintained at 27 degree Celsius. Also, not more than 2 mice can be caged together and each cage must be at least 2 sq.ft in ar ea. The 5 experiments to be conducted by lab are to be thoroughly documented and performed only after a round of approval by authorities. The approval procedure takes around 48 hours. How many times the tag is numbered '4' used by the lab in numbering these mice? a) 9 b) 19 c) 20 d) 21 Solution JAYASREE N.J is right but he counted 44 as a single 4 so answer should be 20 because 44 has twice 4 510. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Fera ari S.P.A. Throughout its history, the company has been noted for its continued participation participation in racing, r acing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's
Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to dr ive that distance. a) 20.72 b) 5.18 c) 2 38.25 d) 6.18 511. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are false? a) The even numbered statements are true and the odd n umbered are false. b) The odd numbered statements are true and the even numbered are false. c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false. 512. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 Where d represents the diameter in mm and t the number of years since the solar blast. 513. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a) 17 b) 21.25 c) 12.25 d) 12.06 514. In the reading room of a library, there are23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in a ll there are 36 readers, how many reading spots do not have even a single reader? a) 8 b) None c) 16 d) 15
515. Alok is attending a workshop “How to do more with less†and today's theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits. 516. The problem posed at the end of the workshop is How many four digit numbers can be formed using the digits 1, 2,3,4 ,5 ( but with repetition) that are divisible by 4? Can you help Alok find the answer? a) 100 b) 125 c) 75 d) 85 517. Rearrange the following letters to make a word and choose the category in which it Ms RAPETEKA a) Bird b) Vegetable c) City d) F ruit 518. One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and W ednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. W hat day is it ? a) Thursday b) Tuesday Tuesday c) Monday d) Sunday 519. A car manufacturer produces only red and blue models which come out of the final testing area completely at random. What are the odds that 5 consecutive cars of the same color will come through the test area at any one time? a) 1 in 16 b) 1 in 125 c) 1 in 32 d) 1 in 25 520. Paul the octopus who has been forecasting forecasting the outcome of FIFA world cup matches with tr emendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The
top two teams from each group enter the semi finals (after which the winner is decided by knockout). However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup? a) (2/3)^10 b) (2/3)^9 + 8/3 8/3 * (2/3)^9 c) 8/3 * (2/3)^9 (2/3)^9 d) (2/3)^10 (2/3)^10 + 8/3*(2/3)^9 521. A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters at 10 meters per minute. However, the toy train is defective and it now produces only two different tunes at random. What are the odds that the toy train produces 4 consecutive music tunes of the same type? a) 1 in 16 b) 1 in 4 c) 1 in 8 522. A number when divided by D leaves a r emainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D? a) 13 b) cannot be determined determined c) 3 d) 42 523. Six friends decide decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulate a fair throw of a die. You check by perfor ming multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12 . Which total would be likely to appear more often – 8,9 or 10? a) 8 b) All are equally equally likely c) 9 d) 10
524 . A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear aro und 1 hr with a speed of 22km/hr km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear? 525. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e. no three points in P lie on a line) is a) 3 b) 5 c) 2 526. There are some points in the plane. We have to make a separation between these points by forming a line in such a way that one point could be separate from the others. No 3 points ar e in a line. Maximum no of methods for plotting the line and minimum no of methods for plotting the line will be (arrangement of points is your choice) Now Answer Is: For Maximize: The number of methods, Points should be drawn in the circumference of the CIRCLE So answer would be the number of total point in the plane. For minimize: The number of methods we should draw 3 points in a TRIANGLE and all other point inside this triangle in such a way that no 3 points could be in a line. If it will be allowed to draw the points in a line then minimum possibilities possibilities will be 2 only, because if we take a ll points in a line then
you can separate only the corner points from the others. For example If we have 10 points then maximum possibilities = 10 and minimum = 3 similarly for 5 points Max = 5, Min = 3 for 19 max= 19 Min = 3 527. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence? 528. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the c loset only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? 529. If there are 30 cans out o f them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are r equired to find the poisoned can? Solution 1 mouse is sufficient to get the result... At 1st min the mouse tastes 1st can & dies at 14hr 1 min.
After 15 mins the mouse tastes 2nd can & dies at 14hr.15 Min After 30 mins the mouse tastes 3rd can & dies at 24 hr 30 mins. . . After 7 hrs the mice tastes 29th can & dies after 2 1 hrs If the mice is till alive after 21 hrs, then the p oison will be in the 30th Can.... this answer is given by DIPIN and is correct answer 530. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought fr om each piece for his son? 531. In T.Nagar the building were numbered from 1 to 1 00.Then how many 4’s will be present in the numbers? 532. If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b? Solution a:b=3:5=3*8:5*8=24:40 b:c=8:5=8*5:5*5=40:25 therefore a:b:c=24:40:25 now amount of b is=35*40/(24+40+25)=15.73
533. There 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?
534. amrith told to Anand in front of a Photo that “He is the son of my father’s sonâ€.Find who is in the picture if amrith have no brothers and sisters. 535. Which is the smallest no which divides 2880 and gives a perfect square? a) 4 b) 9 c) 3 d) 5 536. 3 persons a,b,c were there A always says truth,B lies on onday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said†that B & C said to A that†B said “yesterday way one of the days when I lies†,C said thatâ€yesterday way one of the days when I lies tooâ€.then which day was that? 537. Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a
number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10? 538. How many of 14 digit numbers we can make with 1,2,3,4,5 that are divisible by 4. Repetitions allowed. 539. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., { a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is. 540. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?
541. A circular dartboard of radius 1 foot is a t a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center o f the circle than the periphery? Solution Since according to requirement we have to locate Q closer to center in comparison to the circumference, for doing this we shall make a circle in that board whose radius will be half of the radius of dartboard.now we will compare the area of inner circle to the total area Answer of DIPIN is correct area of whole circle = pi*(1 foot)^2 = pi ( this is according to formula area = pi*(radius)^2 similarly area of inner circle = pi*(1/2foot)^2 = pi/4 so ratio of areas of these two circles will be the probability and that is 1/4 542. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., { a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is. Solution Answer 12 is correct. because if we take person a1 in the set then it will cover a36 and a2 for shaking hand.similarly if we take person a4 in the set then it will cover a5 and a3 for shaking hand and so on, so minimum 12 persons are required to make shake hand with rest of the people complete 543. A and B play a game of dice between them. The dice consist of
colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning? 544. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4 * sqrt (t – 8)for t = 8 Where the represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter? 545. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person? 546. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same pr obability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a
probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game? 547. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope? 548. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is 549. The citizens of planet nigiet are 5 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 5) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? Express result in terms of base 10. a) 54 b)64 c) 75 d) 100 550. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like , 10, 20, 40, 80, 160 in tank B. (At the end of first hour , B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?
551. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a)50 b)8 c)60 d)42 552. One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel – Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it? a]Thursday b]Tuesday c]Sunday d]Monday 553. A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? 800 500 488 900 554. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to hi m on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All suspects are lying or the leftmost suspect is innocent. B. All suspects are lying and the leftmost suspect is innocent . A only B only Neither A nor B Both A and B 555. Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee
notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.The diameter of the coins should be at least 64mm and not exceed 512mm. Given a coin, the diameter of the next larger coin is at least 50% greater. The diameter of the coin must a lways be an integer. You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? 5 9 6 8
Solution 64mm.........1st coin 64+32=96.....2nd coin 96+48=144....3rd coin 144+72=216...4th coin 216+108=324..5th coin 324+162=486..6th coin 486+50%of 486 exceeds 512 so 6 coins can be designed 556. The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph. 23.62 11.39 8.78 236.16 557. On the planet Oz, there are 8 d ays in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the t ime is 9:40 am. a. 251 b.111 c.29 d.89 558. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) ov er all configurations P of 9 points in the plane is a.10 b.9 c.3 d.5
559. There are some points in the plane. We have to make a separation between these points by forming a line in such a way that one point could be separate from the others. No 3 points are in a line. Maximum no of methods for plotting the line and minimum no of methods for plotting the line will be (arrangement of points is your choice)
560. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope? a)0 b)12/212 c)11/12 d)1/12 561. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at rando m and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is a)3/4 b)14/19 c)37/38 d)1/2 562. keyword: Alok Bhanu, stack of 20 coins. i move can play. dat z 1th move means to put top coin 1 postion below. gold coin. initialy gold coin is at 3rd position from top. if itz player turns nd player brings gold coin to the top then player z winner. alok starts. which of the following is true. a) alok must play 1th move to win. b) alok must play 0th move to win c) alok has no wining strategy 563. 1/3 rd of a number is more 3 than the 1/6th of a number then find the number? 564.There are 6 circles on a diagonal of square such that their centre lie on diagonal. Consider that radius of each circle is equal. Find the ratio between side of square and radius of circle. 10r+ 2sqrt(2)r= sqrt(2)a nw find a/r. 565. There are 6 beer bottle nd one is poisoned. we have mice who will die within 14 hrs after drinkin poisned beer. In 24 hrs we have to
find poisoned beer bottle. How many no of mice we require to find out poisoned bottle. options a) 6 b) 4 c) 3 d) 1 Solution If we get the mouse drink all the beers in some time interval, then on the basis of the time of death of mouse we can conclude the poisoned bottle so answer will be (d) 566. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total? Solution 567. On a sheet of paper, there are 40 statements. Each n statement states that "Atleast n number of statements on this sheet is false". Then which of the following is true. 568. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's
Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance. 569. keywords: alok, bhanu, want to maximize nd other want to minimize. 15+X*Y-Z For these type of ques, remember dis thumb rule.. X*Y-Z=18 X+Y-Z=11 X-Y-Z=2 569. Hare in the other. The hare st arts after the tortoise has covered 1/3 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/5 of the distance. By what factor should the hare increase its speed so as to tie the race? 570. How many 4 digit numbers can be formed using the digits 1, 2,3,4 ,5 ( but with repetition) that are divisible by 4? 571. A is the father of B. C is the son of D. E is the brother of C while D is the sister of B. how is B related to E? 572. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family? 573. Lion tells lie on Monday, Tuesday, and Wednesday. Rat tells lie on Thursday, Friday and Saturday. Both of them speak truth on other days. Lion tells, “Yesterday was one of the days which I tell lying†. Rat also tells, “Yesterday was one of the days which I tell lyingâ€. What day was yesterday?
574. In Tnagar many buildings were under residential category for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering? 575. A vendor sells 1 apple for 1 p enny, 2 grapes for 1 penny, 3 bananas for 1 penny. A man spends 7 penny and gives equal amount of fruits to each of his three daughters. What is the possible number of fruits each daughter gets? 576.. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a) 50 b) 8 c) 60 d) 42 577. If there are 30 cans out o f them one is poisoned if a man tastes very little he will die within 14 hours. Now mice are used to test in 24 hours, how many mices are required to find the poisoned can? 578. There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following? a) If no. is odd it is head, if no. is even it is tail b) If no. is odd it is tail, if no. is even it is head c) Toss a die until all the 10 d igits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is ev en consider it as head. Solution First of all it should have been given in the question that there are integers from 1 to 10 written in the faces, and since it is not known that die is fair or not, so ( c) should be the correct option.
579. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type? a) 1 in 16 B) 1 in 4 c) 1 in 8 d) 1 in 32 580. Amrith told to Anand in front of a Photo that "He is the son of my father’s son". Find who is in the picture if amrith have no brothers and sisters. a) Amrith himself b) Amrith's Uncle c) Amrith's Father d) Amrith's son 581. By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed?? 582. Here 10 programmers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed? a) 16 b) 6 c) 10 d) 60 583. Middle earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 ro unds played in knock out tournament, how many matches were played? a) 257 b) 256 c) 72 d) 255
584. 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence. a) 45 b) 9 c) 12 d) 10 585. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets f illed up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely? a) 26 b)25 c)5 d)27 586. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings? a) 16 b) 56 c) 112 d) 28 587. Anna, Bena, Catherina and Diana are at their monthly business meeting. Their occupations are author, biologist, chemist and doctor, but not necessarily in that order. Diana just told the neighbour, who is a biologist that Catherine was on her way with doughnuts. Anna is sitting across from the doctor and next to the chemist. The doctor was thinking that Bena was a good name for parent's to choose, but didn't say anything. What is each person's occupation? 588. (1/3) of a number is 5 more than the (1/6) of the same number? find the no. a) 6 b)36 c)30 d)72 589. A speaks truth 70% of the time; B speaks truth 80% of the time. What is the probability that both are contradicting each other? 590. In a family 7 children don’t eat spinach, 6 don't eat carrot, 5 don't eat beans, 4 don't eat spinach & carrots, 3 don't eat carr ot & beans, 2 don't eat beans & spinach. One doesen't eat all 3. Find the no. of children
591. There are 9 cards. Arrange them in a 3*3 matrix. Cards are of 4 colors. They are red, yellow, b lue, green. Conditions for arr angement: one red card must be in first row or second row. 2 green cards should be in 3rd column. Yellow cards must be in the 3 corners only. Two blue cards must be in the 2nd row. At least one green card in each row. 592. Is z less than w? z and w are real numbers. (I) z^2 = 25 (II) w = 9 To answer the question, a) Either I or II is sufficient b) Both I and II are sufficient but neither of them is alone sufficient c) I & II are sufficient d) Both are not sufficient
593. A farmer has two rectangular fields. The larger field has twice the length and 4 times the width of the smaller field. If the smaller field has area K, then the are of the larger field is greater than the area of the smaller field by what amount? (a) 6K (b) 8K (c) 12K (d) 7K 594. Nine equal circles are enclosed in a square whose area is 36sq units. Find the area of each circle. 595. Amongst Ram, Sham and Gobind are a doctor, a lawyer and a police officer. They are married to Radha, Gita and Sita (not in order ). Each of the wives have a profession. Gobind’s wife is an artist. Ram is not married to Gita. The lawyer’s wife is a teacher. Radha is married to the police officer. Sita is an expert cook. Who’s who? 596. Make six squares of the same size using twelve match-sticks. (Hint : You will need an adhesive to arra nge the required figure) 597. A father and his son go out for a 'walk-and-run' every morning around a track formed by an equilateral triangle. The father's walking speed is 2 mph and his running speed is 5 mph. The son’s walking and running speeds are twice that of his father. Both start together from one apex of the triangle, the son going clockwise and the father anti-clockwise. Initially the father runs and the son walks for a certain period of time. Thereafter, as soon as the father starts walking, the son starts running. Both complete the course in 45 minutes. For how long does the father run? Where do the two cross each other? Solution Let the first action of father and son take t time them second action will take time [(3/4)-t] According to the given condition 5t + 2[(3/4)-t] = x (total perimeter) 4t + 10[(3/4)-t] = x on solving we get x = 7/2 and t = 2/3 so father will run for 2/3 hours = 40 min
for crossing 5y + 4y = 7/2 on solving we get x = 7/18 hours = 7*60/18 = 70/3 min
598. The Director of Medical Services was on his annual visit to the ENT Hospital. While going through the out patients records he came across the following data for a particular day : "Ear consultations 45; Nose 50; Throat 70; Ear and Nose 30; Nose and Throat 20; Ear and Throat 30; Ear, Nose and Throat 10; Total patients 100." Then he came to the conclusion that the records were bogus. Was he right? 599. Here is a series of comments on the ages of thr ee persons J, R, S by themselves. S : The difference between R's age and mine is three years. J : R is the youngest. R : Either I am 24 years old or J 25 or S 26. J : All are above 24 years of age. S : I am the eldest if and only if R is not the youngest. R : S is elder to me. J : I am the eldest R : S is not 27 years old. S : The sum of my age and J’s is two more than twice R's age. One of the three had been telling a lie throughout whereas others had spoken the truth. Determine the ages of S,J,R. 600. In a group of five people, what is the probability of finding two persons with the same month of birth? Solution Probability of having the month of birth of all 5 persons different = 12*11*10*9*8/12*12*12*12*12 = 55/144 so answer for the given case = 1-(55/144) = 89/144 601. There are seventy clerks working in a company, of which 30 are females. Also, 30 clerks are married; 24 clerks are above 25 years of age; 19 married clerks are above 25 years, of which 7 ar e males; 12
males are above 25 years of age; and 15 males are married. How many bachelor girls are there and how many of these are above 25? Solution Distribution Total clerk = 70, Male = 40, Female = 30, Married clerks = 30, Male = 15, Female = 15, 25 plus married clerks = 19, Male = 7, Female = 12, 25 plus clerks = 24, Male = 12, Female = 12, 25 plus unmarried clerks = 5, Male = 5, Female = 0 so Bachelor girls = 15, none of them is above 25 602. A man sailed off from the North Pole. After covering 2,000 miles in one direction he turned West, sailed 2,000 miles, turned North and sailed ahead another 2,000 miles till he met his friend. How far was he from the North Pole and in what direction? 603. a making a cube with dimension 5*5*5 using 1*1*1 cubes.what is the number of cubes needed to make hollow cube looking of the same shape. 604. Peter and Paul ate two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the preset ate of Peter? 605. . A car manufacturer produces only red and blue models which come out of the final testing area at random. W hat are the odds that five consecutive cars of same color will come through the test area at any one time? a) 1 in 16 b) 1 in 125 c) 1 in 32 d) 1 in 25 606. Find the value of @@+25-++@16, where @ denotes “square†and + denotes “square root†.
607. In a market 4 men are standing. The average age of the four before 4years is 45, after some days one man is added and his age is 49. What is the average age of all? 608. two years before paul's age is 2 times the alice age and present age of paul is 6 times the alice .what is present paul's age 609. age of the 2 people ar e in ratio 6:5 after how many years,their ratio will be 8:7 610. Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of th e circles to the side of the square. a 1:(2+ 7√2) b 1:(2+ 6√2) c 1:(4+ 7√3) d (2+ 7√2):1 Solution Let the radius of circle be r let the side of square be a then diagonal of square= a*sqrt(2) This diagonal length = 12*r + 2r * sqr t(2) (because the extreme circle's radius is perpendicular to side of square.) Thus we get 12*r+2r*sqrt(2)=a*sqrt(2) r(6*sqrt(2)+2)=a r/a=1/(6*sqrt(2)+2) Thus ratio: r:a = 1:(6*sqrt(2)+2) Ans: 1:(6*sqrt(2)+2) this answer is given by MUGIL VANNAN, and is right
611. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to hi m on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?(a) All suspects are lying or the leftmost suspect is innocent. (b) All suspects are lying and the leftmost suspect is innocent Solution if first is victim then all suspects are lying. here you should remember that the rightmost person is n ot questioned. If any of the person leaving leftmost is victim then the leftmost suspect is innocent. but "and" should not be used between the conditions because leftmost is not innocent necessarily 612. Worker W produces n units in 5 hours. Workers V and W, workers independently but at the same time, produce n units in 2 hours. How long would it take V alone to produce n units? 613. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the o ther. The hare starts after the tortoise has coverd 1/4 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance.By what factor should the hare increse its speed so as to tie the race? Solution Total circumfrance = pie*diameter tortoise has covered = 25pie remaining distance = 75 pie 1/8th of total distance = 12.5 pie let the velocity of tortoise = u and that of hare =v on time comparison we get
62.5 pie/u = 12.5 pie/v 5v=u so v=u/5 now for remaining journey time taken by tortoise = 12.5 pie/u so velocity of hare to make a tie = 7 *12.5 pie u / 12.5 pie =7u so 7u/u/5 = 35 times answer 614. a hollow cube of size 5cm is taken,with a thickness of 1cm.It is made of smaller cubes of size 1cm.If 1 face of the outer surface of the cube are painted,totally how many faces of the smaller cubes remain unpainted? 615. The bacteria have the probability of split into 3 and probability to die is 1/3rd of the total bacteria. Let the probability is P. Some of them survived with probability 1/5.Then which among the following relation is true? a)P=1/3+1/5*3 b)P=1/5*(1/8-3) 616. x/2y=2a, then 2x/x-2ay= 617. Mr. Das has 3 sons whose ages are respectively a, b, c. The grandfather has bought a cycle for the eldest son, mother has bought a bag for the youngest one which cost Rs. 150/. The sum of two age of the elder son and one son is 15 . The difference of the age of sons is 3 & 2. Then what of the age of the elder son? Solution In this question there is a n additional information "The grandfather has bought a cycle for the eldest son, mother has bought a bag for the youngest one which cost Rs. 150/." which seems absurd, but there is a hidden info of elder, eldest and youngest son in it. given eldest son age = a elder son age = b
youngest son age = c according to given conditions b+a = 15 OR b+c=15 and a-b = 3, b-c = 2, OR a-b = 2, b-c = 3 there are 4 combination 1) a+b = 15, a-b = 3, b-c = 2 (9,6,4) 2) a+b = 15, a-b = 2, b-c = 3 (8.5,6.5,3.5) 3) b+c = 15, a-b = 3, b-c = 2 (11.5,8.5,6.5) 4) b+c = 15, a-b = 2, b-c = 3 (11,9,6)
618. We all know that Aryabhatta is the greatest mathematician who belong to India. When his daughter Mayabati was in her teen age he discovered a problem. At that the time the age of Mayabati is a pr ime number, let that age is A . After some years her age becomes B. then Aryabhatta was able to solve that problem with the help of his daughter Mayabati. If a-b=5 & product of a & b is 26 then what is the sum of two squares? 619. Ina particular city there are 100 homes numbered from 1,2,3……..100. The city was build by a bui lder from Chennai. There was 4 to 5 shops in the town which was build by a builder from Mumbai. THE 2nd builder in can build in ½ time as compared to 1st builder. If the 2nd builder builds in 15 days, then how many 2’s are used by the builder from Chennai in numbering the 100 homes? 620. The age of two friends is in the ratio 5:6, after how many years will the ages be in the ratio 7:8? 621. 10 tables, 4chairs per table, each table has different number of people then how many tables will left without at least one person.
622. A school yard contains only bicycles 7 4 wheeled wagons.On tuesday,the total no. of wheels in the schoolyard was 114. what would be the possible no. of bicycles? 623. A school yard contains only bicycles 7 4 wheeled wagons.On tuesday,the total no. of wheels in the schoolyard was 114. what would be the possible no. of bicycles? In this question "7" is wrong . It should be "and"
624. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will pr ovide the exact change required and carry as less coins as possible? a) 4 b) 5 c) 6 d) 7 625. B is taller than j and 3 pillars. P is shorter than B and 2 p illars is j shorter/taller than P? a) yes b) no c) may be d) can’t find 626. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there a)10 b) 33 c) 22 d) none 627. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then ho w many he has bought from each piece for his son?
a) 1app, 1cho, 1 banana b)1 app, 2cho,3 banana c) 1app, 2cho, 1banana 628. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked there a) 48 b) 50 c) 52 d) 64 629. John buys a cycle for 31 dollars and given a cheque of a mount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper? a)loss 23 b)gain 23 c)gain 54 d)Loss 54 630. It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say? 631.Inspired by fibonacci series sanket decided to create is own series which is 1,2,3,7,7,22,15,67,.... what number come immediately before 67? 632. I have 3 grandsons. The age diff btw 2 of grandsons is X yrs. 1st grandson is twice elder than younger one addition off ages of all the three is y then what is age of eldest grandson 633. If we subract a number with y, we get 4 increase of number, once it got divided by y itself.. Find that number?? 634. in a flight of 600 km ,an aircraft was slow down due to bad weather.its avg speed reduced by 200km/hr and time of flight
incresed by 30 mint.the duration of flight is 1)1hr 2)2hr 3)3hr
4)4hr
635. There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? ( 1 of _____) ? 636. There are 9 weights like 16,19.156.26, 106,15,24,36 (in kg). There are three persons like rohit, sameer and imran. each lifts 3 types of weights. Rohit�s total lifted weight is 2 t imes than the weight lifted by rohit. What is the weight lifted by imran? 637.1! + 2! + .... 50! = ? a. 3.1035*10^64 b. 2.1021* 10 ^ 65 c. 3.1035*10^63 d.3.1035*10^62 and s(1) gives the summation for example if n=4 we have s(4)=4 s(3)=3*(4+1)=15 s(2)=2*(15+1)=32 s(1)=1*(32+1)=33 which agrees with 1!+2!+3!+4! = 1+2+6+24 using a computer program and using this recurssion method I get the sum as 31035053229546199656252032972759319953…
638. if there are 30 cans out of them one is poisened if a person tastes very little he will die within 14 hours so if there are mice to test
and 24 hours to test, how many mices are re quired to find the poisened can? A)3 B)2 C)6 D)1
639.. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible? a) 6 b) 21 c) 28 d) 7 640.A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings. 641.In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family? a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls 642.What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0 643.A Sheet of paper has statements number from 1 to 20.Statement n says "At least n of the statements on this sheet are tru e".which statements are true and which are false. a.The even no statements are true and the odd no statements are false. b.the 1st 13 statements are false and rest are true. c.the 1st 6 statements are true and rest are false d.the odd no statements are true and even no. ar e false. 644. (209*144)^2 + (209*209)+(209*144)+(144*144) = ? a)905863729 b)905368729 c)905729368 d)65
645.On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am. 646.Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by 4 647.In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? (a) 360 (b) 480 (c) 720 (d) 5040 648.Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? (a) 4 (b) 10 (c) 15 (d) 16 649. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand. (a) 11a.m (b) 12a.m (c) 10a.m (d) 10.30p.m 650.There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that’s not needed for the question.) All of the following combinations are possible to make a perfume except: 1) Balsamic and Lilac
2) Woody and Lemon 3) MI mosaic and Woody 4) MI mosaic and Lilac 651.sheet of paper has statements numbered from 1 to 45. For a ll values of n from 1 to 45, statement n says “At most n of the statements on this sheet are false†. Which statements are true and which are false? A. The odd numbered statements are true and the even numbered are false. B. The even numbered statements are true and the odd n umbered are false. C. All statements are true 652.A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony? 653 Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be? 654.A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false? a)The even numbered statements are true and the odd numbered are false.
b)The first 26 statements are false and the rest are true. c)The first 13 statements are true and the rest are false. d)The odd numbered statements are true and the even numbered are false. 655.Alok and Bhanu play the following min-max game. Given the expression N = 9 + X + Y – Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be a) 0 b) 27 c) 18 d) 20 656. Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now? a) There is less coffee in the first tumbler than water in the second tumblers b) There is more coffee in the firs tumbler than water in the second tumbler c) There is as much coffee in the fir st tumbler as there is water in the second tumbler d)None of the statements holds true 657.In a particular city, building under residential category were numbered as 1 to 100.shops were numbered between 150 and 200(only prime numbers). how many times does the number "6" appear?
658.In a restaurant with a staff of 5 members, the avg age is 45 yrs. after 5 years, a person joins them and the avg age is again 45 yrs. what is the age of 6th person? 659.A vessel is in the form of a hollow cylinder mounted on a hollow hemisphere. the diameter of the hemisphere is 14cm, and the total height vessel is 3cm. find the outer surface area of the vessel? 660.If cosec18degree=secA, then the measure of A is? 661.Shreya writes 1st 100 whole num. let A and B be the num of times she writes 0 and 9 respectively,find the value of A+B 662.The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17:325. the value of n is (a)15(b)25(c)35(d)30 (e)none of these 663.Father's age was five times his son's age 5 years ago and will be three times the son's age after 2 yrs. what is the ratio of their present ages? 664.Monthly income of X and Y are in the ratio 1:3 and their expenses are in the ratio 19:40. X saves 18,860 less than Y and in total they save 36,020. what are their respective incomes? 665.When my uncle died,he left a will instructing his executers to divide his estate of 19,80,000 in this manner.Every son should receive 3 times as much as a daughter and that evry daughter should get twice as much as their mother. what is my aunt's maximum share if my uncle has atleast one son and one daughter? (a)19,80000 (b)9,90,000 (c)3,30,000 (d)2,20,000 (e) 1,98,000 1+2+6=9 1980000/9=220000 220000(mother) 440000(daughter)
1320000(brother) Answer is 220000(d)
671.Two years before, Paul's age was 2 times Alice's age.the present age of Paul is 6 times Alice's. What is the present age of Paul?
666.A point A(x,y)divides the segment joining point B(5,-1)and C(10,4)in the ratio 3:2. find the value of X and Y?
Solution
X=(m*x2+n*x1)/(m+n) Y=(m*y2+n*y1)/(m+n) (-4,2)
672.There are 3 boys A,B,C and 2 girls D,E. D always sit right to A.girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. who is sitting immediate right to E?
667.There is Ferarri and a Benz car.Benz speed is 10km/h and it covers 10 km. if the Ferarri goes 3 times faster than benz,in how much time Ferarri would take to cover the same distance? Sol:speed of ferarri=3*10=30km/hr time=10/30=1/3hr=60/3=20min 668.One card is drawn from a well shuffled deck of 52 cards: Finds the probability of getting i)a king of red color ii)a black card 2 red king so i)2/52=1/26 26 black card ii)26/52=1/2 669.in 52 cards divided into 2 parts 26 black and 26 red car ds . in 26 red cards 2 red kings there 1 is heart king and 1 is diamond king so from 2 red kings sol…..)select 1 king 2c1/52c1=2/52=1/26 2)from 26 black cards select 1 card is 26c1/52c1 ways so 26/52 =1/2 670.One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child's age and eldest child's age is two times of sum of other two children. what is the age of eldest child?
question is wrong
Solution…….possible arrangements are ADBEC BEADC CEADB so after E there is either C or A 673.2 years ago of A is x times that o f B. 3 years hence the age of A is 4/3 times of B.what is the present age of B in binary form? what is the value of x and y? 674.There are 100 men and 100 women on t he dance floor. they want to dance with each other. then which of the fo llowing statements is always true: (a)there are 2 men who danced with equal no. of women's (b)there are 2 women who danced with equal no. o f men. 675.6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age of seventh person? 676.if the probability of rain on any given day in pune city is 50% then what is the probability that it rains on exactly 3 days in a 5 day period?
677.a two digit num "ab" is six times the sum of its digits.find the value of b^a. 678.the price of a maruti car rises by 30% while the sales of the car came down by 20%. what is the percent change in the total revenue? (a)-4(b)4(c)-2(d)0(e)none of these 679.A,B,C are the mechanisms used seperately to reduce the wastage of fuel by 30%,40%,10%.What will be the fuel economy? 680.: Peter and Paul are two friends. The sum o f their ages is 35 years. Peter is twice as old as Paul was when Peter was as o ld as Paul is now. What is the present age of Peter? 681. Susan made a block with small cubes of 8 cubic cm volume to make a block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with sa me dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? 114 135 21 71 682.A triangle is made from a rope.the sides of the triangle are A cm,B cm and C cm. what will be area of the square made from the same rope? 683.In a family there are some boys and girls.all boys told they are having equal no of brothers and sisters and girls told that they are having twice the no of brothers than sisters. how many boys and girls present in family? 684.there are 40 barreals are there and one is poisoned. If a drop is consumed he will die in 14 hrs then how many least mice are r equired to find the poisoned barreal?if we have only 24 hour.
685.A wire whose resistance is 132.44647 ohms,is used in an experiment. if a voltage of 30mv and a current of 296ma is applied to it, what is the resistance then? 686.how many one rupee, 50 paisa, 25 paisa coins are there if there are in the ratio of 4:5:6 and together amount Rs 327? a)60 b)45 c)75 d)90 e)30 687.A and B play a game between them. The dice consist of colors on their faces(instead of number). When the dice are thrown, A wins if both show the same color, otherwise B wins. One die has 3 red faces and 3 blue faces. How many red and b lue faces should the other die have if the both players have if the both players have the same chances of winning? a) 5 red and 1 blue faces. b) 1 red and 5 blue faces. c) 3 red and 3 blue faces. 688.If a-b=5 and a*b is 26,then what is the sum of two squares? 689.Mr. Behera wants to build a house for his wife.In this there ar e 5 rooms each having equal area. the length of each room is 4m, breadth is 5m. the height of the roo ms is 2m.if,to make a square meter,we need 17 bricks,then how many br icks are needed to make the floor of a particulr room? 690.It is dark bedroom and i want to g et two socks of the same color from my drawer, which contains 24 red and 24 blues socks.how many socks do i have to take from the drawer to get atleast two socks of the same color? (a)2(b)3(c)48(d)25 691An athlete decides to run the same distance in 1/4th less time that she usually took. by how much percent will she have to increase her average speed? 33.33%
692)23 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence. 693.sangarkara and pointing selects batting by using a d ice,but the dice is biased.so to resolve, pointing takes out a coin. what is the probability that the dice shows correct option? 694.A block has dimensions 10,9,5 units.how many units cube is needed to make a block of that size? 694.Now pet's age is two times when paul was once.but at that tim paul's age=pet's current age.how old is pet? 695.Entry ticket to an exhibition ranges from 1p to 31p. you need to provide exact change at the counter. you have 31p coin.in how many parts will you divide 31p so that you will provide the exact change required and carry as less coins as possible? 696.A metal strip of width 'X'cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ' Y'. if 'Z' strips are placed in that manner.what is the final width of that management?
are false. c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false. 699.the citizen of planet OZ are 6 fingered and they developed the number system in base 6.A certain street in OZ has 1000 buildings and they are numbered 1 to 1000.How many no. of 3's are used?Express your answer in base 10. a.144 b.54 c.108 d.36 700.THE AVERAGE TURNOVER OF A COMPANY IN JAN,FEB,MAR IS 12CRORE WHILE THAT OF MAR,APR,MAY,JUNE IS RS.14 CRORE. WHAT IS THE TURNOVER IN MARCH IF AVERAGE FOR THE FIRST HAF OF THE YEAR IS RS.12 CRORE 12CRORE 14CRORE
697.A game is played betwn 2 players and one player is declared as winner. all the winners from first round are played in second round.all the winners from second round are played in third round and so on.if 8 rounds are played to declare only one players as winner, how many players are played in first round?
16CRORE
698. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are false? a) The even numbered statements are true and the odd n umbered are false. b) The odd numbered statements are true and the even numbered
701.A hallow cube of 5cm is taken, with thickness of 1 cm.It is made of smaller cudes of 1 cm.If 5 faces of outer cude are painted,then totally how many smaller cubes surfaces reamin unpainted? a)475 b)900 c)775 d)463
18CRORE 20CRORE
702.Find the number of trailing Zeroes in 52!
703.The Vertices of ABC are point A(1,2), B(4,6), C(-4,12). Which of the following is true? a) ABC is not a Right ∆ b) It is a right ∆ with right angle at C c) It is a right ∆ with right angle at B d) It is a right ∆ with right angle at A 704.Ramesh buys a cycle for rs.310 and gives a cheque of amount rs.350s. shopkeeper exchanged the cheque with his neighbour and gave change to Ramesh. after 2 days,it is found that the cheque has bunced. shopkeeper pays the amount to his neighbour. the cost pr ice of cycle is rs.190. what is the profit/loss for shopkeeper? 705.There are certain numbers of hats and gloves in a box. they are 41 red,23 green,11 orange. power goes off. but a woman can differentiate betwn hats and gloves. how many draws are required to obtain a pair of each color. 706.A boy bought a roll A of 56 inches wide and 141 yards long. he also bought B of 77 inches wide of length 333 years. t ime taken for cutting A into 1 yard piece is 2 seconds.time taken to cut into 141 pieces of 1 yard each is how much? 707.A person buys a horse for rs.15. after one year, h e sells it for rs.20. after 1 yr,again he buys the same horse at rs.30 and sells it for rs.40. what is the profit for that person? 708.There is a doll that can make 2 musical sounds. it makes 2 musical sounds after being defective. what is the probability that the same musical sound would be produced 5 times consecutively? 709.There are 11 boys in a family. youngest child is a boy.what is the probability that all are boys?
710.3 friends A,B,C measures their weights in some order in 7 rounds as follows: A,B,C,AB,BC,AC,ABC. Final round measure is 155kg.find the avrg weight of all the 7 r ounds. 711.six friends go to pizza corner where there are different types of pizza available. six different flavours are there and they have to select 2 flavours from 6 flavours.In how many ways they can select? 712.3,15,X,51,53,159,161. Find X. 713.Find avrg speed if a man travels at speed of 24km/hr up and 36km/hr dawn at an altitude of 200m. 714.Two pipes A and B fill at a certain rate.B is filled at 10,20,40,80(10 in 1 hour,20 in 2 hours,40 in 3 hrs and so on). if 1/16 of B is filled in 17 hrs,what time it will take to get completely filled? 715.There are 30 cans and out of t hem, only one is poisoned.if a person tastes very little,he will die within 14 hours. if there are mice to test and 24 hrs, how many mice are r equired to find the poisoned can? 716.if a person moves 15km straight and turns 45 km right and moves 15km straight again,then how much distance does he need to walk to reach the starting point? Solution straight=15km,and right turn =45+15=60, distance to the starting point = square root (15^2 + 60^2)=square root (3825)=61.85 this answer is given by KALPANA G and is the correct answer Here it is to be informed that straight doesn't show any particular direction 717.A act started chasing a mouse two hrs ago.the cat ran with an
averge speed of 22km/hr. it first crossed a 10m long road and two small ponds with depth 3m. then it crossed two small streets with 200m length.after travelling for 718.(209*144)^2+(209*209)+(209*144)+(144*144)=? 719.(1/2)of a number is 3 times more than the ( 1/6)of the same number.what is that number? 720The age of two people is in the r atio 6:6. if the sum of their ages is 44.after how many years would the ratio be 8:7? Solution The ratio given is 6:6 means both are same in age it means it will be impossible to make their age ratio 8:7 now if we consider the suggestion given by RISHABH, then present ratio = 6:5 = 24:20 sum of ages = 44 so ages are 24 and 2 0 let after x years ratio will be 8:7 , so (24+x)/(20+x) = 8/7 on solving the equation we get x = 8 721.In a school there are same bicyles and cars.on thursday,there were 190 wheels in the campus.how many bicyles were there? 722.Form an 8 digit number by using 1,2,3,4,5(repetition is allowed)and is divisible by 4: (a)31250(b)97656(c)78125(d)97657 723.Variables R and S are related by the equation R=(1/S^2). Now is S is increased by 10%. What will happen to R? 724.A bag contains 4 white and 3 black balls, 2 balls are drawn at a time, randomly in succession. What is the probability that both the balls drawn are white in color, if the first ball is not replaced after the first draw. 725.Subha Patel is an olfactory scientist working for International Flavors and Fragrances. She specializes in finding new scents recorded and reconstituted from nature thanks to Living Flower
Technology. She has extracted fragrance ingredients from different flowering plants into bottles labeled herbal, sweet, honey, anisic and rose. She has learned that a formula for a perfu me is acceptable if and only if it does not violate any of the rules listed: If the perfume contains herbal, it must also contain honey and there must be twice as much honey as herbal. If the perfume contains sweet, it must also contain anisic, and the amount of anisic must equal the amount of sweet. honey cannot be used in combination with anisic. anisic cannot be used in combination with rose. If the perfume contains rose, the amount of rose must be gr eater than the total amount of the other essence or essences used. Which of the following could be added to an unacceptable perfume consisting of two parts honey and one part rose to make it acceptable? • Two parts rose • One part herbal • Two parts honey • One part sweet ANSa) two parts rose
726.What is the value of (78*78*78-45*45*45)/(78*78+78*45+45*45) 727.After the typist writes 12 letters and addresses 12 envelopes she inserts the letters randomly into the envelopes(one letter per envelope). what is the probability that exactly one letter is inserted in an improper envelope? a)0 b)11/12 c)1/12 d)12/212 728.Rowen is taller than lily and 2 of the 1000 pillars. Jill is shorter than Rowen & 3 pillars. Which is more accurate? a) Lily is shorter than Jill. b) Its impossible to tell
c) Lily is taller than Jill d) Jill is as tall as Lily.
odds against = non favor able probability/ favorable probability
729.Stephen Hawking is the Author of the bestseller “The Brief History of Time†and his daughter explains the universe to readers of all ages in their book “ George's Secret key to the Universe†. When Lucy was young his father would take his daughter to the terrace and explain about constellations to his daughter and then leaves her alone in the terrace to find few of them all by herself. Lucy finds around 25 groups of stars that appear to her as constellations. She draws 7 patterns of the constellations in her notebook and notes down the number of stars in each of them. She counts 5 stars in first constellation and 15 on next. She counts a number the thrid time and forgets to note it down. The next four constellations she counts 51.53,159,161. Next day her father looks at the notebook and wants to know the number of stars in the third constellation. Lucy only remembers that number of starts counted in each of the constellation followed a pattern
732.A pie is to be divided among 20 people. A man eats 3 pieces, a woman eats 2 pieces and a child eats ½ a piece of pie. What is the number of men, women children, so that 20 people in total and everyone get the same pie? There are 20 pieces of pie in all. 7 women, 1 man, 12 children
730.5,15,x,51,53,159,161 a)19 b) 45 c) 16 d) 17
733.Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest ar e ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two or dinary coins O1 and O2. Which of the following is true ? A)In order to win, Alok should remove O1 on his first turn. b)In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn. c)In order to win, Alok should remove O2 on his first turn. D)Alok has no winning strategy.
731.A car manufacturer produces only red and blue models which come out of the final testing area completely at random. What are the odds that 5 consecutive cars of the same color will come through the test area at any one time? a)1 in 16 b)1 in 125 c)1 in 32 d)1 in 25 Solution The probability for the question will be 1/16 and answer of KAPIL is right but question is saying about odds and odds mean favorable probability/non favorable probability = (1/16)/(15/16) = 1/15 odds has two category 1) in favour 2) against odds in favour = favorable probability/non favorable probability
5 women, 1 man, 14 children
4 women, 2 men, 12 children Solution in third option total number of persons are 18 so it would be wrong. in a option 7*2 + 1*3 + 12*1/2 = 23 pie so it would also be wrong now 2nd option 5*2 + 1*3 + 14*1/2 = 20 so b option is correct
734.Suppose n is an integer, such that the sum of the digits of n is 2, and 10^10 < n < 10^11 . The number of different values for n is: (i) 11 (ii) 10 (iii) 9 (iv) 8
741.A vessel is in the form of a hollow cylinder mounted on a hollow hemisphere. The diameter of the hemisphere is 14 cms, and the total height vessel is 3 cms. Find the outer surface area of the v essel
735.Using only the digit from 0 to 5. How many 5 digit codes can be constructed? If the first digit cannot be 3 and number of digits cannot be used more than once.
742.A telephone company charges 80 paisa /min for first 80 min of talk, 70 paisa/ min subsequently up to 130 min and 55 paisa/min beyond 130 min. What would be the amount paid by a subscriber who has used a total of 110 min of talk time?
735.A point A(x,y) divides the segment joining point B(5,-1) and C(10,4) in the ratio 3:2. Find the v alue of x and y 736.A sum of Rs. 400 is to be used to give four cash prizes to students of a school for their overall performance. If each prize is Rs. 20 less than its preceding prize, find the value of each prize. 737.If mt=1 & m is greater than 0, which of the following is True? •When m is greater than 1, t is gr eater than 1. •When m is less than 1, t is less than 1 •As m increases t increases •As m decreases t decreases 738.Alan, Steven and Marwick dug up 9 nuggets. Their weights were 154,16,19,101,10,17,13,46 and 22 kgs. They took 3 each. Alan’s weighed twice as much as Stev en’s. How heavy were Marwick’s nuggets? 739.Fred is a researcher at the Sun Computer Centre. He is also a jazz musician. He wrote a program that recognized his pattern of musical play and predicted his notes. Notes were first converted to numbers through complex statistical techniques. The first few numbers are 26, 25, 23, 20, and 16. What should come next? 740.If the radii of umbra and penumbra cast by an object on a wall are of the ratio 2:6, what is the area of the penumbra ring around the umbra of the latter’s radius is 40 cms?
743.The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion.As one of the forerunners in the technology front,Tirnop continues to lead the way in products and services in India.At Tirnop,all programmer are equal in every respect.they receive identical salaries ans also write code at the same rate.suppose 12 such programmers take 12 minutes to write 12 lines of code in total.how long will it take 72 programmer to wr ite 72 lines of code in total? (a)72(b)12(c)6(d)18 744.Ferrari S.p.A. is an Italian sports car manufactured based in Maranello, Italy.Founded by Enzo Ferrari in 1928 as scuderia Ferrari,the company sponsered drivers and manufactured race cars before moving into production of str eet legal vehicles in 1947 as Ferrari S.p.A. throught its history,the company has been noted for its continued participation in racing,especially in Formula one,where i t has enjoyed great success.Rohit once bought a Ferr ari.It could go 2 times as fast as Mohit's old Mercedes.if the speed of Mohit's Mercedes is 32km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken for Rohit to drive that d istance. (a)15.88(b)14.88(c)476(4)29.75 745.How many numbers can be for med using all of 1,2,3,4,5(without repetition),when the digit at the units place must be greater than that in the tenth place? (a)54(b)40(c)60(d)48(e)36
Solution total methods without any restriction = 5*4*3*2*1 = 120 now for units place to be greater than tens place , only one method out of the set of two will be correct. ex: 12 & 21 only one will be valid so answer will be 120/2 = 60 746.A hare and tortoise have a race along a circle of 100 yards diameter. the tortoise goes in one direction and the hare in the other.the hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. the hare and tortoise meet when the har e has covered only 1/8 of the distance.by what factor should the hare increase its speed so as to tie the race? (a)8(b)40(c)37.80(4)5 747.The difference between the ages of two of my three granchildren is 3.my eldest grandchild is three times older than the age of my youngest grandchild and my eldest granchild's age is t wo years more than the ages of my two youngest grandchildren added together.how old is my eldest grandchild? (a)12(b)15(c)10(c)13 748.There are two water tanks A and B,A is much smaller than B.while water fills at the rate of one litre every hour in A,it gets filled up like 10,20,40,80,160...in tank B.(at the end of first hour,B has 10 litre.second hour it has 20,and so on).if 1/32 of B's volume is filled after 3 hours,what is the total duration required to f ill it completely?(a)10hours(b)9hours(c)8hours(d)7hours 749.A tap can fill a tank in 16minutes and another can empty it in 8minutes.if the tank is already 1/2 full and both the taps are opened together,will the tank be filled or emptied? How long will it take before the tank is either filled completely or emptied completely as the case may be?
(a)emptied;16mins(b)filled;8mins(c)emptied;12mins(d)filled;12mins(e) none of these 750.A car is travelling at un iform speed.the driver sees a milestone showing a two digit number which is a perfect square,after travelling for an hour the driver sees another milestone with the same digits in reverse order and after another hour the driver sees another milestone containing the same two digits as part of a three digit number.what is the speed of the car? (a)30kmph(b)40kmph(c)50kmph(d)60kmph(e)45kmph 751.From each of the two given numbers,half of the s maller number is subtracted. of the resulting numbers,the largest is three times the smaller one.what is the ratio of the two numbers? (a)5:4(b)5:2(c)3:2(d)2;1(e)7:4 752.The average age of all boys in the class is 16.66,while the average age of all girls in the same class is 18.75.Thus the average marks of all 40 students in the class is 17.5.what is the number of girls in the class? (a)12(b)16(c)18(d)20 (e)data insufficient Solution question will be correct if we use marks in the place of age ans : x*18.75 + (40-x)*16.66 = 40*17.5 on solving we get x = 16 753.There are 6 positive and 8 negative numbers. Four numbers are choosen at random and multiplied.the probability that the pr oduct is positive is: (a)500/1001 (b)503/1001 (c)303/1001 (d)101/1001 (e)505/1001 754.There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following? a) If no. is odd it is head, if no. is even it is tail
b) If no. is odd it is tail, if no. is even it is head c) Toss a die until all the 10 d igits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head. 755.which of the following has the highest standard deviation? A.3,0,3,0,3,0 B.-3,-3,-3,-3,-3 C.3,3,3,3,3,3 D.-3,3,-3,3,-3,3
756.If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b? 757.From the top of a building 60metre high the angles of depression of the top and bottom of a tower are 30 degree and 60 degree respectively.the height of the tower is: (a)40m(b)30m(c)20m(d)50m(e)20root3m ANSa) distance btw two towers=20root3 making use of angle of depression of top get h=40m
758.The population of bacteria culture doubles every 2 minutes.approximately how many minutes will it take for the population to grow from 1000 to 500,000 bacteria? (A)10 (B)12 (C)14 (D)18 (E)20 759.Alok and Bhanu play the following min-max game. Given the expression N = 12+X*(Y-Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z) . Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of
N at the end of the game would be 2 -69 93 30 760.In planet OZÂ planet there are 8 days, sunday to saturday and 8th day is Oz day. There is 36 hours in a day. What is angle between 12.40? 761.A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 1 face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? a) 900 b) 488 c) 563 d) 800 762.A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? a) 800 b) 488 c) 900 d) 500 763.there are two boxes one containing 10 red balls and other containing 10 green balls.you are allowed to move the balls between the boxes so that when you choose a box at rando m an a ball at random from that box the probability of getting a ball is maximised.find the maximum probability. 1)14/19, 2)3/4, 3)1/2, 4)37/38 764.1. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa? a) 22 b) 20 c) 10 d) none 765.Pace length is distance between rear of consecutive footprints. For a old man walking Berghian's formula is n/p=144, where n is number of steps per minute and p is pace length which equals 164 cm.Find the sped of walking in kmph
766.On a planet oz there are 8 days apart fr om sunday to saturday, 8th day is oz day.Compared to earth where clock cr osses each digit on clock twice, there are 36 hrs in day ,90 min in hour, 60 seconds in minute.Find the angle between clock hands on 11:40
773.A square is drawn inside a right angled triangled with the two perpendicular sides as 12cm and 8cm.what is the side of the largest possible square that can be dr awn? (A)4cm (B)4.8cm (C)4.5cm (D)4.4cm (E)5cm
767.A cube of size 5cm and thickness 1cm is painted on four sides. This cube is made up of smaller cubes of size 1cm.How many faces of smaller cubes are unpainted.
774.Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to br ing the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then Alice has no winning strategy. In order to win, Alice's first move should be a 1-move. In order to win, Alice's first move can be a 0-move or a 1-move. In order to win, Alice's first move should be a 0-move.... Please Explain Your Answer..
768.The sum of two times one natural number and three t imes another natural number is less than 24. if the first natural number is less than or equal to eight,the highest value of the second natural number is: (A)5 (B)6 (C)7 (D)8 (E)9 769.A class photograph has to be taken.the first row consists of 6 girls who are sitting.20 boys are standing behind.The two comer position are reserved for the two tallest boy.In how many ways can the students be arranged? (A)18!*720 (B)6!*1440 (C)18!*2!*1440 (D)18!*1440 (E)none of these 770.Variable R and S are related by the equation R=1/S2(1 by S square).now,if S is increased by 10%,what will happen to R? (A)R decreased by 19% (B)R decreased by 10% (C)R decreased by 17% (D)R decreased by 21% (E)R increased by 21% 771.The distance between charu's and mani's places is 120km. charu traveled the whole distance from her place to mani's at 30km/hr but returned at 40km/hr.her average speed for the whole journey is(approx) (A)36km/hr (B)37km/hr (C)33km/hr (D)34km/hr (E) 35km/hr 772.Mr.Mohit is 7 times as old as his son. 10 years hence he will be three times as old as his son.what is the difference in their present ages? (A)24years (B)30years (C)18years (D)36years (E) 42years
775.Upon asking her grandchild"s age she told that she is as older as many days as her daughter"s age in weeks and as many days as her own age in years.The sum of the three is 130.Then what is the age of the child? 776.A hollow cube of size 5cm is taken,with a thickness of 1cm.It is made of smaller cubes of size 1cm.if 4 faces of the outer surface of the cube are painted,totally how many faces of the smaller cubes
remain unpainted? (A)500 (B)800 (C)488 (D)900 777.Three terrorists are employed to shoot a renowned person Mr. X only one bullet is sufficient to kill him if it strikes in the head.the probabilities of the terrorists striking Mr.X's head by their bullets are 0.2,0.3 and 0.4.what is probability that Mr.X is shot dead? (A)0.336 (B)0.9 (C)0.1 (D)0.760 (E)0.664 778.a bag contains 4 white and 3 black balls.2 balls are drawn one at a time, randomly in succession.what is the probability that both the balls drawn out are white in color,if the first ball is not replaced after the first draw? (A)9/49 (B)3/7 (C)2/7 (D)4/7 (E)16/49 779.A cistern is two third full of water.pipe A can fill the remaining part in 12 minutes and pipe B in 8 minutes. once the cistern is emptied, how much time will they take to fill it together completely? (A)12minutes (B)12.5min (C)14.4min (D)10.2min (E)14.66min 780.A is driving on a highway when the police fines him for over speeding and exceeding the limit by 10 km/hr. At the same time B is fined for over speeding by twice the amount by which A exceeded the limit. If he was driving at 35 km/hr what is the speed limit for the road? 781.From a circular sheet of paper with a radius of 20cm,four circles of radius 5cm each are cut out.what is the ratio of the uncut to the cut portion? (A)1:3 (B)4:1 (C)3:1 (D)4:3 (E)2:3 area of uncut=(400-100)3.14 area of cut=4*25*3.14=(100)3.14 ratio=3:1 ans 782.A software engineer starts from home at 3pm for every walk on a route which has level road for some distance and a then a hillock.he
walks speed of 4kmph on level ground and then at a speed of 3kmph on the uphill and then down the hill at a speed of6kmph to the level ground and then at a speed of 4kmph to the home if he reaches home at 9pm.what is the distance one way of his route? (A)12km (B)15km (C)18km (D)24km(E)Data Inadequate 783.A bag contains 5 green and 7 blue balls.another one contains 4 green and 8 blue balls.if a bag is choosen randomly and a ball is drawn from it at random,then find the probability that it is green: (A)3/4 (B)1/4 (C)5/8 (D)3/8 (E)none of these 784.An aircraft takes of from A(89 degree N,10 deg E)at 6.00am local time to B(50 deg S,70 deg W).If the flying time is 10 hours,then what is the local time at B? Solution
local time at B=10.40am
785.In a 2 dimentional arr ay x(8,7),with each element occupying 2 bytes of memory,with the address of first element x(1,1) is 3000,find the address of x(2,3). 785.The price of precious stone is directly proportional to square of its weight. what will be the loss incurred if a stone weighing 28gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15:13? (A)No loss (B)10,000 (C)28,000 (D)9,500 (E)14,000 x=28000/28^2=35.71 cost of 15g=35.71*15^2=8035.714 cost of 13g=35.71*13^2=6035.714 total cost=14071.428 loss=28000-14071.428=13928.5=14000 786.A man has 1044 candles.after burning,he can makes a new candle from 9 stubs left behind.Find the maximum number of candles
that can be made: (A)116 (B)120 (C)130 (D)140 (E)144
distance between X and a point in P a) A and B b) Neither A nor B c) B only d) A only
Ans is 130 787.The sides of a triangle are in the ratio of 1/2:1/3:1/4. if the perimeter is 52 cm.the length of the s mallest side is: (A)9cm (B)10cm (C)16cm (D)24cm (E)12cm
792.there are two boxex, one containing 39 red balls and other 29 green balls. yao are allowed to move the balls betn the booxes so that you choose a box randomly and a ball at r andom from the choosen box, the probability of getting a red ball is maximized. the maximum probability is c. .80 a. .60 b. .50 d. .30
788.The average of 10 numbers is 40.2. Later it is found that 2 number have been wrongly added.the first is 18 greater than the actual number and the second number added is 13 instead of 31. find the correct average: (A)40.2 (B)40.4 (c)40.6 (D)40.8 (E)41 total=40.2*10=402 402-18+(31-13)=402 avg remains same 40.2 ans 789.If a number 774958A96B is to be divisible by 8 and 9,the values of A and B,respectively will be (A)7,8 ( B)8,0 (C)5,8 (D)3,0 (E)None of these 790.a group of housewives with average age 30 years meet with another group of housewives with average age of 40 years.if the average age of the new group is 34 years,what is the ratio of number of housewives in the first group to the number of housewives in the second group? (A)2:3 (B)3:5 (C)3:2 (D)3:4 (E)4:3 791.Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of thefollowing are necessarily true? A. The points in P lie on a circle. B. The distance between any pair of points in P is larger than the
793.A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? Ans is 230 m speed = (120 + 80)km/h (because direction is opposite hence relative velocity is added)= 500/9 m/s time= 9sec let the lenght of second train is x total distance covered= 270 + x therefore, D= speed*time thus 270 + x = 500/9 * 9 x= 500-270=230 m 794.There are two boxes, one containing 39 red balls and the other containing 26 green balls. You are allowed to move the balls between the boxes so that when you choose a box at rando m and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is • .60
• .50 • .80 • .30
795.A person run from A to B.He took 1/4 of the time less to reach B when compare to run at normal Speed.Then how many percentage he has increased his speed? 33.33 % Ans 796.A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select? 797)45 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to h im on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All the suspects are lying. B. The leftmost suspect is guilty. C. The rightmost suspect is guilty. • A only
• A and C
• B only
• A and B
798.A CIRCULAR RADIUS OF DASH BOARD 2.0 FOOT IS AT DISTANCE 20 FEET FROM U .U THROW A DART AT IT IT HIT THE DASH BOARD AT SOME POINT Q IN A CIRCLE.WHATS THE PROBABILITY TAHT Q IS CLOSER TO CENTRE OF CIRCLE THAN THE PERIFERY 1)0.25 2)O.75 3)0.50 4)1.0 799.Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. • The diameter of the coins should be at least 64mm and not exceed 512mm. • Given a coin, the diameter of the next larger coin is at least 50% greater. • The diameter of the coin must always be an integer.
You are asked to design a set of coins of d ifferent diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? •a)8 •b)6
•c)9 •d)5 800.A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round? a) 256 b) 512 c) 64 d) 128 801.metal strip of width x cm. 2 metal strips are placed one the other, then the combine length of 2 strips is y. if z strips are placed in that manner, what is the final width of the arr angement (y-x)(z-1)+z 802.A lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? 803.. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color? a) 2 b) 3 c) 48 d) 25 804.form 8 digit numbers from by using 1,2,3,4,5 with repetition is allowed and must be divisible by 4?
805. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a)1 b)3 c)4 d)0 806) If there are 30 cans out of them one is poisoned if a per son tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can? a) 3 b) 2 c) 6 d) 1 807. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? 808 49 members attended the party. In that 22 ar e males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible? a) 122 b) 66 c) 48 d)1 28 809. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of t he components were rejected. What is the loss to the manufacturer? (a) Rs.12000 (b) Rs.13000 (c) Rs.14000 (d) Rs.15000 810. There was a grandmother in a village who had a grand child.Upon asking her grand childs age she told that she is as older as many days old as her daughters age in weeks and as many days
as her own age in years.The sum of the three is 130.then how old is the child.? let her grand child age is x days. then hers daughters age is x weeks and her age is x years. thus x + 7x + 365 x= 365*130 thus x= 127.2 days 811. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand. (a) 11a.m (b) 12a.m (c) 10a.m ( d) 10.30p.m 812. 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples? (a) Rs10 (b) Rs15 (c) Rs20 ( d) Rs25 1st equation: 2x+3y+4z=15 2nd equation: 3x+2y+z=10 adding 1 and 2 eqn: 5x+5y+5z=25 x+y+z=5 3x+3y+3z=3*5=15 so ans is 15 813. A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". W hich statements are true and which are false? a)all odd are false and even are true b) alleven are true and odd are
false c)all are false
d)none of these
atleast - half of the statements are true and h alf are false exactly -- (n-1)th statement is true and remaining are false atmost -- then all are true .. 814. Peter and Paul are two friends. The sum o f their ages is 35 years. Peter is twice as old as Paul was when Peter was as o ld as Paul is now. What is the present age of Peter? a) 8 b) 20 c) 16 d) 15
815. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 k m/hr and the time of flight increased by 30 minutes. The duration of the flight i s: (a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours x=600/y x-200=600/y+1/2 y=1 hour 816. A horse starts to chase a dog that has left the stable two hours earlier. The horse runs at an average speed of 2km/hr. It crosses a 10-metre road, two small ponds 3 metres deep, and finally runs along two small streets of 200 metres long. After traveling 6 hrs, 2hrs after sunset, it catches the dog. Compute the speed of the dog in Km/hr? (a) 20 (b) 22 (c) 16.5 (d) 18.5 817. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?
818.10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa? a) 22 b) 20 c) 10 d) none 819. A Seamstress buys a certain amount of gringham cloth which comes in rolls that are exactly 56 inches wide. She also bought a certain length of Seersucker- 1 yard long and 35 inches wide. She discovers she has 112 yards of gringham and she wants to divide this into 112 lengths of 1 yard each. She wants to have twicw as many pieces as Seersucker as she does of gringham. It takes her 8 seconds to cut each length working nonstop, how long in seconds does it take to cut 112 pieces. 820. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary? (a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900 821. there are 40 barreals are there and one is poisoned. If a drop is consumed he will die in 14 hrs then how many least mice are r equired to find the poisoned barreal?
822. there r 40 barels,if we use m1 to check b1&b2 and m2 to check m2&m3,in this way we can see if m1 dies then b1 is poisoned,if m1&m2 both dies then b2 is poisoned.so we can use 40-1=39 mice. 823. If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage. (a) 40% (b) 55% (c) 35% (d) 30%
Let the actual selling price = 100 selling price after 25% discount = 75 profit = 25% let the cost price is x so, x+(25% of x) = 75 hence x = 60 ............................. i.e. cost price is rupees 60 ........................... now the discount is 10% hence, the selling price is rupees 90 so the profit is 50% i.e. none of above 824. A man is standing in front of a painting of a man, and he te lls us the following: Brothers and sisters have I none, but this man's father is my father's son. Who is on the painting? His father His grandfather His son He himself 825.With four fifths of then tank full, a vehicle travels 12 miles. How much distance will the vehicle travel with one third tank full? (a) 8.05 km (b) 6.05 km (c) 12km (d) 5 km If 4/5 full then 12 miles then we ha ve to find 1/3 full =? km so 4/5 x 5/12=5/12 x 12--->>1/3 full=5 miles but answer has to be in km so 1 mile=1.609 km s0 5 miles=5 x 1.609 km=8.045 =8.05 km 826. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?
827. X is 6 years younger to Y.After 5 years the ratio of ages of X and Y is 1:2. Now X's father is 20 years older to Y and Y' father is 30 years more than X. What is the age of X and Y together? (a) 12 (b) 8 (c) 18 (d) 6 828.A person was fined for exceeding the speed limit by 10mph. Another person was also fined for exceeding the same speed limit by twice the same. If the second person was traveling at a speed of 35 mph, find the speed limit. (a) 35mph (b) 15 mph (c) 20 mph (d) 30 mph 829. Alok and Bhanu play the following min-max game. Given the expression N = 9 + X + Y – Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be a) 0 b) 27 c) 18 d) 20 830. Alady has fine gloves and hats in her closet 18 blue 32 red 25 green.the lights are out and it is dark but she can make out difference between hat and glove.she takes out an item if she is sured that it is a gloves.how mwny gloves she take out to make sure that she has a pair of each color. 831. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such r umors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. W hat is
the probability that Paul will correctly pick the winner of the GhanaBolivia game? a) 5/9 b) 1/9 c) 2/3 d) 1/3
d) In order to win, Alice’s first move can be a 0-move or a 1-move
832. A hollow cube of size 5cm is taken, with a thickness of 1cm. It is made of smaller cubes of size 1cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remains unpainted?
834. Both A and B Alice and Bob play the following chip-off-the-table game. Given a pile of 58 chips, Alice first picks at least one chip but not all the chips. In subsequent turns, a player picks at least one chip but no more than the number picked on the previous turn by the opponent. The player to pick the last chip wins. Which of the following is true?
no of hollow cube shared by corner of cube is 8 no of hollow cube shared by edge of cube is 12*3 = 36 no of hollow cube shared by face of cube is 6( 3*3) = 54 total no of hollow cube is: 8+36+54 = 98 total no of faces is 98*6 = 588 as each face contain 25 cubes so, total no of painted cube is 25*4 = 100 No of unpainted cube is = 588-100 = 488 833. Alice and Bob play th e following coins-on-a-stack game. 50 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i b elow the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a p layer's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then a) In order to win, Alice’s first move should be a 0-move. b) In order to win, Alice’s first move should be a 1-move. c) Alice has no winning strategy.
Solution options are not given, it is very difficult to give the solution, because lot of cases are possible. some examples 1) if Alice takes 1 chip then for Bob it will be a compulsion to take 1 only, in this manner, Bob will take the last chip 2) if Alice takes 2 chips and Bob takes 1 then Alice will win the game 3) if Alice takes 2 then Bob 2, then 2-2-2 continuously, then Alice will be the winner, similarly a number of cases are possible 835. A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select? 836. Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the
number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12 . Which total would be likely to appear more often – 8,9 or 10? a) 8 b) All are equally likely c) 9 d) 10 On the Planet, Oz, there are 8 days in a week – Sunday to Saturday and another day called Oz day. There are 36 hours in a d ay and each hours has 90 min while each minute has 60 sec. As on earth, hour hand covers the dial twice every day. Find the approximate angle between the hands of clock on Oz when time is 15.40 am? 36hrs a day that means the clock will be of 18hrs. angle between each hour =360/18=20 thus for 15 am.. angle=15*20=300 now each hour is of 90 min.=20deg so,1min=2/9deg deflection of the hour hand. so for 40min the small hand(hour) will be displaced by 40*2/9=8.89deg=9deg(approx) so total angle of the small hand=9+300=309deg now for the minute hand 90min=360deg thus 1min=4deg so 40min=40*4=160 deg so angle when time is 15.40 is 309-160=149deg :) 837. Number of days is irrelevant. 36 hours a day and hour hand covers dial twice every day means clock will have 36/2=18 numbers on it from 1 to 18( Just like 1 to 12 on earths clock). Total 90 min/hour means 5 min for every number. So 18*5=90min is satisfied just like on earth. Now any dial in the universe will be 360 degrees. So hours hand will cover 360/18=20 deg every 1 hour. Also this means min hand will cover 20 deg every 5 min. 15hrs means hours hand r otated 15*20=300 deg. 40 min means mi n hand rotated (360/90)*40=160 deg. difference is 300-160 =140 deg.
838. Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulate a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10? a) 8 b) All are equally likely c) 9 d) 10 839. There was a grandmother in a village who had a grandchild. Upon asking her grandchild's age she told dat she is as older as many days old as her daughter's age in weeks and as many days as her own age in years. The sum of the three is 130. then how old is the child? a)7 b)8 c)6.5 d)7.5 Let the ages of grandmother, her daughter and the g randchild be x, y and z respectively in years. z in days = y in weeks z * 365 = y * 52 ... (i) Similarly, z in days = x in years z*365 = x ... (ii) Also, x + y + z = 130 ... (iii) Substituting the values of x, y and z in equation (iii) we get, 365*z + (365/52)*z + z = 130 Solving this we get z = 0.3485 in years = 127 days So the child is 127 days old. 840. Alok and Bhanu play the following min-max game,given the expression N=12+X*(Y-Z)
where X,Y,Z are variables representing single digits(0 to 9).Alok would like to maximise N while Bhanu would like to minimise it.Towards this end Alok chooses a single d igit number and Bhanu substitutes it for a variable of her choice(X,Y,Z).Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be?? 841. Alchemy is an occult tradition that aros e in the ancient Persian empire. Zosimos of Panopolis was an early alchemist. Zara, reads about Zosimos and decides to try some experiments. One day, she collects two buckets, the first containing one litre of ink and the second containing one litre of cola. Suppose she takes one cup of ink out of the first bucket and pours it i nto the second bucket. After mixing she takes one cup of the mixture from the second bucket and pour s it back into the first bucket. W hich one of the following statements holds now? a.There is more cola in the first bucket than ink in the second bucket. b.There is as much cola in the first bucket as there is ink in the second bucket. c.There is less cola in the first bucket than ink in the second bucket. Solution let the size of cup = x litre then after first step ink in first bucket = 1-x and ink in second = x in total 1+x amount of mixture now we have to pour 1 cup means x litre of solution from second bucket to first in this much of solution ink will be [x/(1+x)]*x] = x^2/(1+x) so total ink in the first bucket = 1-x+[x^2/(1+x)]
so cola in first bucket = 1-[1-x+{x^2/(1+x)}] = x-[x^2/(1+x)] similarly total ink in second bucket = x - amount of ink poured in first = x - [x^2/(1+x)] so cola in the first bucket = ink in the second bucket 842. A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live? There is no year 00 in the calendar so, the years would be -35,-34,33,...-02,-01,+01,02,...+34. Total years = 69. 843.It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color? 844. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds r espectively. In 30 minutes, how many times do they toll together? Solution: If you find LCM of the give intervals, you will get the point of time when all of them toll together. LCM of 2,4,6,8,10,12 is 120sec = 2min. Every 2 min they toll together.So in 30 min they toll together 15 times. 845. The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph. a) 23.62 b) 8.78 c) 11.39 d) 236.16
Since P=164cm or that is equal to 1.64m. So n/p=144 or n=144*P or n=144*1.64 steps/min Distance moved by Bernard is 144*1.64*1.64 meter/min(in mints n dist in metres) So that is equal to 144*1.64*1.64*60/1000 kmph=23.62kmph 846. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 buildings numbered 1 to 1000 in base 8. How many 3s are used in numbering these buildings?Express your answer in base 10 a) 54 b) 64 c) 265 d) 192 847. If a person moves 15km straight and turns 45 km right and moves 15Km staright then how much distance he needs to walk to reach starting point?? 848. 10 men and 10 women are th ere, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa? a) 22 b) 20 c) 10 d) none 849. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?
850. A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the re mainder left, when twice the number is divided by 3D? a) 13 b) cannot be determined c) 3 d) 42 let's number is n so n=Dx+8------->1 n=3Dy+21--------->2 from 1 & 2 D(x-3y)=13 here 13 is prime number so it has factors 1 and 13 only x-3y must be 1 let x=4 and y=1 then n=60 so 2n is divided that is 120 by 3D t hat is by 39 we get the remainder as 3 851. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed? a) 2000 b) 5000 c) 3000 d) 7000 Solution volume of the small cube = 0.03 m^3 so side of this cube = cubic root of 0.03 m^3 = .312 m so after removing the outermost layer the dimensions for the inner cuboid will be (5-2*0.312), (6-2*0.312), (7-2*0.312) so total volume will be (4.376)*(5.376)*(6.376) = 150 m^3 so no of cubes will be 150/0.03 = 5000 so we can remove 5000 inner cubes
852. a hare & a tortoise have a race along a circle of 100 yards diameter.the tortoise goes in 1 direction & hare in another.after the tortoise has covered 1/5th of its distance & that is too leisurely.the hare & tortoise meet when the hare has covered only 1/8 th of the distance.by what factor should the hare increase its speed so as it to tie the race? 5 8 37.80 40 let total distance to cover=x nw first tortoise goes x/5 after dat when they meet together, hare goes x/8 and so tortoise goes x-(x/5+x/8)=27x/40 so, ratio of tortoise and hare=27x/40 : x/8=27:5 nw to tie up the incresed fctor of spped of hare be v then, (x/8)/27=(x-x/8)/5v or, 1/27=7/5v or, v=(27*7)/5=37.80 853.planet fourfi resides in 4 d imensional space & thus the currency used by its residents are 3 dimensional objects.the rupee are cubical in shape while their coins are spherical.however the coin minting machinery lays out some stipulations on the size of the coins.the diameter of the coins should be atleast 64mm & not exceed 512 mm. given a coin,the diameter of the next larger coin is atleast 50% greater. the diameter of the coin must always be an integer. you are asked to design a set of coins of different diameters with these requirements & your goal is to design as many as coin as possible.how many coins can you design? a)9 b)5 c)6 d)8 First we design 64mm coin. Then 50% of 64 is 32. 50% greater than 64 means 64+32=96. Similarly 50% greater than 96 is 144 and so on
we get the sequence 64,96,144,216,324,486.(Should be less than 512mm)so Total of 6 coins. So c is the ans. 854.There was a grandmother in a village who had a grandchild. Upon asking her grandchild's age she told dat she is as older as many days old as her daughter's age in weeks and as many days as her own age in years. The sum of the three is 130. then how old is the child? a)7 b)8 c)6.5 d)7.5 855. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope? a) 1/12 b)0 c)12/212 d)11/12 856. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n 1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in g eneral position(.i.e no three points in P lie on a line) is a)3 b)5 c) 2 d)1 857. sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false? a)The even numbered statements are true and the odd numbered are false. b)The first 26 statements are false and the rest are true. c)The first 13 statements are true and the rest are false.
d)The odd numbered statements are true and the even numbered are false. 857. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed? a) 2000 b) 5000 c) 3000 d) 7000 Solution volume of the small cube = 0.03 m^3 so side of this cube = cubic root of 0.03 m^3 = .312 m so after removing the outermost layer the dimensions for the inner cuboid will be (5-2*0.312), (6-2*0.312), (7-2*0.312) so total volume will be (4.376)*(5.376)*(6.376) = 150 m^3 so no of cubes will be 150/0.03 = 5000 so we can remove 5000 inner cubes
is 45. What is the average age of all? a) 55 b)54.5 c)54.6 d)54.7 861. The ticket for a journey is in the r ange of 1 to 63 paise.You have 63 paise in your pocket and so on. And the question is you have to change the money into coins and all denominations are available. At final you have to buy the ticket and you should have at least one coin? 862.49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible? 863. you hav coins of all dimensions. You need to provide exact change at the counter. You have 155p coin. In how many parts will u divide this so that u will provide the exact change required and carry as less coins as possible? 864. There are 6561 balls out of them 1 is heavy. Find the min. no. of times the balls have to be weighedfor finding out the heavy ball.
858. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is a) 13 b) 18 c) 11 d) 12 859. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ? 860. In a market 4 men ar e standing .The average age of the four before 2 years is 55, after some days one man is added and his age
865.There are certain number of hats and gloves in a box.They are o f 41 red,23 green,11 orange.Power gone but a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color? 866. A hunter leaves his cabin early in the morning and walks one mile due south. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. After shooting the bear, he drags it one mile due north back to h is cabin where he started that morning. What color is the bear? a)black b)grey c)white d)brown 867. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube
looking of the same shape? a) 98 b) 104 c) 100 d) 61 868.Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same d imensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? 869. how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed? Solution to be divisible by 4, last two digits must be divisible by 4. which are 12, 24, 32, 44, 52. so 5 combinations are possible for last two digits also 5 combinations each for re maining 11 places. so the answer is 5^12. 870. 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said "that B & C said to A that" B said "yesterday way one of the days when I lies" ,C said that" yesterday way one of the days when I lies too".then which day was that? a) Sunday b) Thursday c) Saturday d) Tuesday 871. Which is the smallest no which divides 2880 and gives a perfect square? a)4 b)9 c)3 d)5 872. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says At least n of the statements on this sheet are false.Which statements are tru e and which are false?
a) The even numbered statements are true and the odd n umbered are false. b) The odd numbered statements are true and the even numbered are false. c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false. 873. One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum o f other two children. Find what is the age of the elders child? a)18 b)22 c)30 d)10 Solution let the age of eldest child is E , that of elder child is M and that of youngest child is Y, then according to the given conditions E = 3Y ....(1) E = 2 + M + Y ....(2) now third condition is somewhat complicated, according to this condition 'two of the age difference is 3' so three cases will arise 1) E - M = 3, ......(3) 2) M - Y = 3, ......(4) 3) E - Y = 3, ......(5) if we take first of the 3 conditions then on solving (1), (2) and (3) we will get E = 3, M = 0, Y = 1 which is wrong now on solving (1), (2) and (4) we will get E = 15, M = 8, Y = 5 similarly on solving (1), (2) and (5) we will get E = 4.5, M = 1, Y = 1.5 only E = 15, M = 8, Y = 5 is correct so age of elder child is 8 years 874. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he ne ed? a)21,500 b)30,000 c)21,000 d)20,000
875. If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b? A) 13.34 b) 15.73 c) 16.73 d) 9.45 876. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of st reet-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan’s old Mercedes. If the speed of Mohan’s Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to dr ive that distance. a)20.72 b) 5.18 c) 238.25 d) 6. 18 877. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*W ( t-9) for t X 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a) 17 b)21.25 c)12.25 d)14.05
has a pair of each color? a)50 b)8 c)60 d)42 880. A man jogs at 6 mph ov er a certain journey and walks over the same route at 4 mph. What is his average speed for the journey? a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph 881. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person? a) 43 b)69 c)52 d)31 882. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank? a) 8 b)6 c)2 d)7 883. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160 If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely? a) 9 B)8 c)7 d)6 884. (1/2) of a number is 3 more than the (1/6) of the same number? a) 6 b)7 c)8 d)9
878. In T.Nagar the building were numbered from 1 to 100.Then how many 4's will be present in the numbers? a)18 b)19 c)20 d)21
885.The difference between two no is 9 and the product of the two is 14.What is the square of their sum? a)120 b)130 c)137 d)145
879. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she
886.There are 1000 pillars for a temple. 3 fr iends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. F ind the correct sentence?
a) Linda is shorter among them b) Chelsea is taller than Julia c) Chelsea is shorter than Julia d) Cannot determine who is taller among Chelsea and Julia 887. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b & c ,then c & a at last abc, the last weight was 167,then what will be the aver age weight of the 7 reading? a) 95 b) 95.428 c) 95.45 d) 94 888. Tom, Dick and harry, weigh themselves in a particular order.First Tom, Dick, and Harry weigh themselves individually and then tom and Dick, Dick and Harry, Tom and Harry and then Tom, Dick and harry together respectively. The recorded weight for the last measure is 158 kgs. The average of all the 7 measures is (a)112.86 (b)52.67 (c)90.29 (d)67.71 889. A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters, at 10 meters per minute. However, the toy train is defective and it now produces only two different tunes at random. What are the odds that the toy train produces 3 music tunes of the same type (1 in _____ ) ? (a) 3 (b) 9 (c) 8 (d) 4 890. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position .i.e. no three points in P lie on a line) is (a) 3 (b) 5 (c) 2 (d)7
891. Fill dirt or fill soil is usually the sub-soil removed from an excavation side and is used to level a place or create artificial mounds. If the average density of sub—soil removed from a site is 3gm/cu cm and it weight 400 kg. How many hemispherical pits each of volume 240 cubic cm, can this sub-soil fill? (a)555 (b)277 (c)556 (d)554 Solution: 3gm per cm cube and there are hemispheric pits of capacity 240 cm cube so..each hemisphere can contain 3*240=720cm cube soil.. so total 0f 400kg i.e. 400*1000=4,00,000gms will be held in 4,00,000/720=555.55 so approx 555 hemispheric pits are required...556 cannot be as 555.55 is less than 556....cheers..:) Is this solution Helpfull? Yes (8) | No (1) 892. The thankgiving banquet at No.2, Ritcher Street, had 49 guests which consisted of 6 statesmen, 26 relatives and their families. At the end of a banquet 19 people shake hands with other , some of which were between the statesmen alone, some between relatives alone and some between the statesmen and relatives. How many handshakes will there be in total? (a)342 (b) 171 (c) 180 (d) 162 19C2=171 893. Middle-earth is a fictional land inhabited by hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournoi is one, where out of two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round; half of the teams get
eliminated from the tournament. If there are 10 rounds played in a knock-out tournoi how many matches were played? (a)1024 (b) 1023 (c)1026 (d)1011 Solution ten round team details 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 ten round match details 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 on adding these matches total matches = 1023 894. 5 men and 5 women meet and men dance with women. Which of the following are always true? A. there are 2 men who have danced with same number of women. B. There ar e 2 women who have danced with same number of men. (a) Both A and B (b) A only (c) B only (d) Neither A nor B 895. A lady had fine gloves and hats. 25 blue, 7 r ed and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select? 896. Lady has 2 select gloves & hat from a basket. In the dark, she can distinguish hat & gloves. 14 red, 20 blue, 18 green are there. Find probability that any selected glove pair has same color. 897. A lady took out jacket and gloves, which are avialable in blue 16, yellow 40 and red 36. Power goes off, she can d istinguish between gloves and jacket but not in colors. What is the possibilty their she will pick up pair of gloves of each color. A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. The lights are out and it is totally dark inspite of the darkness. She can make out the difference
between a hat and a glove. She takes out a n item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair o f each colour? a) 50 b) 8 c) 60 d) 42 898. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says 'At least n of the statements on this sheet are false.' W hich statements are true and which are false? a) The even numbered statements are true and the odd n umbered are false. b) The odd numbered statements are true and the ev en numbered are false. c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false. 899. Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The top two teams from each group enter the semi finals ( after which the winner is decided by knockout). However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup? (a) (2/3)^10 (b) (2/3)^9 + 8/3 * (2/3)^9 (c) 8/3 * (2/3)^9 (d) (2/3)^10 + 8/3*(2/3)^9 We have two chances to win the world cup. Either India can win all 10matches or Win 7 out of 8 group matches + win the semi final and
final matches. Case 1: To win all 10, probability is (2/3)^10. Case 2: Probability of winning 7mathces out of 8= (2/3)^7 and Probability of Loosing the 1 match= 1/3. This process can occur in 8 ways. probability= 8*((2/3)^7 * 1/3) To win semi final and final match probability is (2/3)^2 Total probability=8*((2/3)^7 * 1/3) * (2/3)^2 = 8/3 * (2/3)^9. So total probability, Case1+Case 2= (2/3)^10 + 8/3 * (2/3)^9 900. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number? (a) 240 (b) 270 (c) 295 (d) 360 901. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is: (a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours 902. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Wha t is the average age of the team? (a) 23 years (b) 24 years (c) 25 years (d) None of these 903. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ? (a) 4 (b) 10 (c) 15 (d) 16
904. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010 (a) Sunday (b) Saturday (c) Friday (d) Wednesday 905. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? (a) 360 (b) 480 (c) 720 (d) 5040 if vowels are always together then EAI will always come together and we can treat them as one unit now remaining letters are LDNG these are 4 letters and one is EAI hence we have to arrange 5 letters that means we can arrange them in factorial(5) ways that is in 120 ways ,again the three vowels can be arranged in factorial(3) that is 6.hence total ways are 120*6=720 hence answer is (c)720. 6!*3!=720 906. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train? (a) 100m (b) 75m (c) 120m (d) 50m as they are moving in the same direction so their relative speed is 5032 i.e. 18kmph so length=speed*time l=(18*15)/(60*60) (converting sec into hours) l=0.075km or 75m 907.A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary? (a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900
908. If on an item a co mpany gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the pro fit percentage. (a) 40% (b) 55% (c) 35% (d) 30% assume 100 rs product 25%discount means selling price is rs.75 discount 10% means selling price is 90. in rs.75 we get 25%of discount at 90? that is 75 25% 90 x cross multiply x*75=25*90 x=25*90/75 x=30% 909. A man, a woman, and a ch ild can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work? (a) 8 (b) 14 (c) 16 (d) 18 total work can be done in 6 days. consider inverse proportion 1/m + 1/w + 1/c = 1/6 Man only can do it in 24 days. Woman can do it in 16 days so 1/24 + 1/16 + 1/c = 1/6 910. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand. (a) 11a.m (b) 12a.m (c) 10a.m (d) 10.30p.m 911.A pizza shop, there were 2 kinds of pizzas available. But now they have introduces 8 new types, a person buy two different type
pizzas of new type in how many ways he can select? (a) 24 (b) 43 (c) 56 (d) 58 912.A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there? (a) 100 (b) 114 (c) 200 (d) 208 x+y=150 x+2y=264 hence y = 114 = no. of 2 kg packets 913. A man jogs at 6 mph ov er a certain journey and walks over the same route at 4 mph. What is his average speed for the journey? a) 2.4 mph (b) 4 mph (c) 4.8 mph (d) 5 mph 914. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre ever y hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B.( At the end of first hour, B has 10 litres , second hour it has 20, and so on) . If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely? a) 26 hrs (b) 25 hrs (c) 5 hrs (d) 27 hrs 915. There are 10 reading spots in a r oom. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 1 0 persons inside the room then how many reading spots donot have atleast a single reader. (1) 5 (2) 6 (3) 7 (4) None 916. Middle earth is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in
different rounds where in every round , half of th e teams get eliminated from the tournament. If there are 8 rounds played in a knock-out tournol how many matches were p layed? a) 257 (b) 256 (c) 72 (d) 255 917. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color? (a) 2 (b) 3 (c) 48 (d) 25 918. 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence. (a) 22 (b) 23 (c) 44 (d) 46 919. Which is the smallest no divides 2880 and gives a perfect square? a.1 b.2 c.5 d.6
920.One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child? (a) 5 (8) 10 (c) 8 (d) 15 921. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter r eceive? (a) Rs.800 (b) Rs.600 (c) Rs.200 (d) Rs.700 922. A train starts full of passengers. At the first station, it drops onethird of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On ar riving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning. (a) 240 (b) 248 (c) 280 (d) 288 let total no. of passenger is x at first station it drops 1/3th of the passenger that is (x-x/3) passenger left and takes 280 more passenger. now the total no. of passenger is (2x/3)+280==>(2x+840)/3 at second station it drops half of the passenger, that is (2x/840)/(3*2)==>(x+420)/3 and takes 12 more passenger. now the current total is ((x+420)/3)+12==>(x+456)/3 at third station the total number of passenger is 248 that is (x+456)/3=248 x+456=744 x=288 923. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to h is estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%.
However, as it turned out, 50% of t he components were rejected. What is the loss to the manufacturer? 2000*25=50000 5%of 2000 piece is 1900*25=47500,in that also the make 25% profit so orginal prize is 47500*100/125=38000. if 50% loss then 25000only. so loss is 38000-25000=13000 924. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering? (a) 10 (b) 20 (c) 8 (d) 19 925. A garrison of 3300 men has pr ovisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement? (a) 1700 (b) 1000 (c) 3000 (d) 2700 3300*32*.850=89760 3300*7*850=19635 89760-19635=70125 x+3300*825*17=70125
x=1700
926.Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years? (a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000 In every 3 yrs it will be 1.5 times there are 5 such sessions will come
amount after 3 yrs is (2000)*(1.5) amount after 6 yrs is ((2000)*(1.5))*(1.5) amount after 9 yrs is (((2000)*(1.5))*(1.5))*1.5=2000*(1.5)^3 amount after 18 yrs is 2000*(1.5)^6 =2000*11.390625 =22781.25 927. If an airplane starts at point R a nd travels 14 miles directly north to S, then 48 miles directly east to T, what is the straight-line distance (in miles) from T to R? (a) 25 (b) 34 (c) 50 (d) 2500 928. A horse starts to chase a dog that has left the stable two hours earlier. The horse runs at an average speed of 2km/hr. It crosses a 10-metre road, two small ponds 3 metres deep, and finally runs along two small streets of 200 metres long. After traveling 6 hrs, 2hrs after sunset, it catches the dog. Compute the speed of the dog in Km/hr? (a) 20 (b) 22 (c) 16.5 (d) 18.5 929. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian Athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race? (a) 30 (b) 32 (c) 41 (d) 54 930. The fundamental theorem of arithematic states that every natural number greater than 1 can be written as a unique product of prime numbers.now what is the smallest number by which 3380 must be divided in order to make it intoa perfect square a)5,b)4,c)8,d)6 931. By using 1,2,3,4,5, how many 12 digit no. can be for med which is divisible by 4, repetation of no. is allowed?
932. Smita was makin 1 design,size of larger cube to be made is 5*5*5 using smaller cubes of 1*1*1. She created solid larger cube Then she decided to make hollow cube. Then how many 1*1*1 cubes required to make hollow larger cube for solid cube we require 5*5*5/1*1*1 cubes ie 125 cubes the the cube is hollow so 3*3*3 are not there so 27 are not there from 125 so 125-27=98 1*1*1 are r equired. 933. There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following? a) If no. is odd it is head, if no. is even it is tail b) If no. is odd it is tail, if no. is even it is head c) Toss a die until all the 10 d igits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head. since we don,t know that the die is fair or not we goe sfor the 'C' if all 10 nums appear then only we can proceed 934. a man has age in years equal to his daughters age in months and daughter age is equals to his grand daughter age in weeks and her age in weeks total age of 3 members is given 91.find out the mans age 935. A lady took out jacket and gloves, which are avialable in blue 16, yellow 40 and red 36. Power goes off, she can d istinguish between gloves and jacket but not in colors. What is the possibilty their she will pick up pair of gloves of each color. A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. The lights are out and it is
totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each colour? a) 50 b) 8 c) 60 d) 42 936. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a)1 b)3 c)4 d)0 937. Lady has 2 select gloves & hat from a basket. In the dark, she can distinguish hat & gloves. 14 red, 20 blue, 18 green are there. Find probability that any selected glove pair has same color. 938. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color? Solution Consider the worst case. Remember you can have either pair of red or pair of blue socks. In 1st pick i g et red, 2nd pick i get blue( I can also get red but you need to consider worst case).3rd pick if you get any color you have a pair. So ans is 3 picks. 939. A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select? 940. given a collection of points P in a plane,a 1-set is a point in P that can be separated from the rest by a line; i.e the point lies on one side of the line while others lie on other side. the no. of 1-set of P is denoted by n1(P). the maximum value of n1(P) over all configurations P of 10 points in the plane is?
a.5 b.3 c.9 d.10 941. a man has age in years equal to his daughters age in months and daughter age is equals to his grand daughter age in weeks and her age in weeks total age of 3 members is given 91.find out the mans age Solution let the age of man (in years) = x age of daughter = x (in months) = x/12 years age of grand daughter = x/12 (in weeks) = x/(12*52) years now x + x/12 + x/(12*52) = 91 on solving we will get x = 83.876 years = 84 years (approx) so age of man = 84, that of daughter = 84/12 = 7 years and that of grand daughter = 7 weeks (approx 0 years) 942. The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph. a 8.78 b 236.16 c 23.62 d 11.39 943. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is: (a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours 944. Anoop managed to draw seven circles of equal radii with their centers on the diagonal of a square such that two extreme circles
touch two sides of the square & each middle circle touches two circles on the either side.Find the ratio of the circles to the sides of the square. a)1:(2+7*sqrt(2)) b)1:(2+6*sqrt(2)) c)(2+7*sqrt(2)):1d)1:(4+7*sqrt(3)) 945.In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is: (a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours Is this Puzzle helpful? (13) (3) Submit Your Solution 946.In the reading room of a library,there are 10 tables,4 chairs per table.In each table there are different numbers of people seated.How many ways they will sit in the library so that no chair will be b lank? 947. A garrison of 3300 men has pr ovisions for 32 days when supplied at the rate of 850 g per h ead. At the end of 7 d ays, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement? (a) 1700 (b) 1000 (c) 3000 (d) 2700 948. Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of e ighteen years? (a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000 949. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter r eceive? (a) Rs.800 (b) Rs.600 (c) Rs.200 (d) Rs.700
950. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of t he components were rejected. What is the loss to the manufacturer? (a) Rs.12000 (b) Rs.13000 (c) Rs.14000 (d) Rs.15000 951. A pizza shop, there were 2 kinds of pizzas available. But now they have introduces 8 new types, a person buy two different type pizzas of new type in how many ways he can select? (a) 24 (b) 43 (c) 56 (d) 58 952. 5,6,?,87,412,2185. find the number that can be put in place of the question mark (a)13 (b)14 (c)18 (d)20 953. A cistern is two-third full of water. Pipe A can fill the remaining part in 12 minutes and pipe B in 8 minutes. Once the cistern is emptied, how much time will they take to fill it together completely? (A) 12 minutes (B) 12.5 min (C) 14.4 min (D) 10.2 min (E) 14.66 min 954. A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn? (A) 4 cm (B) 4.8 cm (C) 4.5 cm (D) 4.4 cm (E) 5 cm 955. Three terrorists are employed to shoot a renowned person Mr. X. Only one bullet is sufficient to kill him if it strikes in the head. The probabilities of the terrorists striking Mr. X’s head by their bullets are 0.2, 0.3, and 0.4. What is the probability that Mr. X is shot dead? (A) 0.336 (B) 0.9 (C) 0.1 (D) 0.760 (E) 0.664 956. A tap can fill a tank in 1 6 minutes and another can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened
together, will the tank be filled or emptied? How long will it take before the tank is either filled completely or emptied completely as the case may be? . (A) Emptied; 16 mins (B) Filled; 8 mins (C) Emptied; 12 mins (D) Filled; 12 957. A car is traveling at uniform speed. The driver sees a milestone showing a two digit number which is a perfect square, after traveling for an hour the driver sees another milestone with the same digits in reverse order and after another hour the driver sees another milestone containing the same two digits as part of a three digit number. What is the speed of the car? (A) 30 kmph (B) 40 kmph (C) 50 kmph (D) 60 kmph (E) 45 kmph 958. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child's age and eldest child's age is two times of sum of other two children. What is the age of eldest child? 959. The average age of all boys in the class is 16.66, while the average age of all girls in the same class is 18.75. Thus the aver age marks of all 40 students in the class is 17.5 what is the number of girls in the class? (A) 12 (B) 16 (C) 18 (D) 20 (E) Data Insufficient 960. A garrison of 3300 men has pr ovisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement? (a) 1700 (b) 1000 (c) 3000 (d) 2700 961. 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.(no option i remembered)
962. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five t imes as much as each nephew, how much does each daughter r eceive? (a) Rs.800 (b) Rs.600 (c) Rs.200 (d) Rs.700 963. A train starts full of passengers. At the first station, it drops onethird of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On ar riving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning. (a) 240 (b) 248 (c) 280 (d) 288 964. A garrison of 3300 men has pr ovisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement? (a) 1700 (b) 1000 (c) 3000 (d) 2700 965. Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years? (a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000 966.A and B play a game between them. The dice consist of colors on their faces(instead of number). When the dice are thrown, A wins if both show the same color, otherwise B wins. One die has 3 red faces and 3 blue faces. How many red and blue faces should the other die have if the both players have if the both players have the same chances of winning? a) 5 red and 1 blue faces. b) 1 red and 5 blue faces. c) 3 red and 3 blue faces.
967. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds r espectively. In 30 minutes, how many times do they toll together? (a) 4 (b) 10 (c) 15 (d) 16 968. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train? (a) 100m (b) 75m (c) 120m (d) 50m 969.If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the pro fit percentage. (a) 40% (b) 55% (c) 35% (d) 30% suppose the print rate is 100 rs. now on giving 25% discount they sold it at 75 rs and earn 25 % profit. now on giving 10% discount the company sold item at 90 rs. now on selling at 75 rs they earn 2 5 % profit hence on selling at 90 rs they will earn (25/75)*90=30% answer is (d). 970.In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? (a) 360 (b) 480 (c) 720 (d) 5040 971.A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live? (a) 70 (b) 69 (c) 71 (d) 72 972.In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and
the time of flight increased by 30 minutes. The duration of the flight is: (a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours
maximized. This maximum probability is a)1/2 b)14/19 c)37/38 d)3/4
973.A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end o f 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement? (a) 1700 (b) 1000 (c) 3000 (d) 2700
978. Alok and Bhanu play the following min-max game. Given the expression N=9+X+Y-Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be a) 0 b) 27 c) 18 d) 20
974.Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years? (a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000 975.A circular dartboard of radius 1 foot is at a d istance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery? a) 0.75 b) 1 c) 0.5 d) 0.25 976. A garrison of 3300 men has pr ovisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement? (a) 1700 (b) 1000 (c) 3000 (d) 2700 977There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at ran dom and a ball at random from the chosen box, the probability of getting a red ball is
979.Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a)1 b)3 c)4 d)0 980.If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are r equired to find the poisoned can? a) 3 b) 2 c) 6 d) 1 981. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is: (a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours 982. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the
length of faster train? (a) 100m (b) 75m (c) 120m (d) 50m 983. If on an item a co mpany gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage. (a) 40% (b) 55% (c) 35% (d) 30% 984. Two trains move in the same direction at 50 k mph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train? (a) 100m (b) 75m (c) 120m (d) 50m 985. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of t he components were rejected. What is the loss to the manufacturer? (a) Rs.12000 (b) Rs.13000 (c) Rs.14000 (d) Rs.15000 986.. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering? (a) 10 (b) 20 (c) 8 (d) 19 987. Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years? (a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000 988. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each
nephew, and each son receives five times as much as each nephew, how much does each daughter r eceive? (a) Rs.800 (b) Rs.600 (c) Rs.200 (d) Rs.700 989. A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there? (a) 100 (b) 114 (c) 200 (d) 208 990. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand. (a) 11a.m (b) 12a.m (c) 10a.m ( d) 10.30p.m 991. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number? (a) 240 (b) 270 (c) 295 (d) 360 992. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary? (a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900 993.Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian Athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race? (a) 30 (b) 32 (c) 41 (d) 54 994.If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east to T, what is the straight-line distance
(in miles) from T to R? (a) 25 (b) 34 (c) 50 (d) 2500 995.Leena cut small cubes of 10 cm dimension each. She joined it to make a cuboid of length 100 cm, width 50 cm and depth 50 cm. How many more cubes does she need to make a perfect cube? a)500 b)250 c)750 d)650 Solution volume of given cube = 100*50*50 = 250000 required volume = 100*100*100 = 1000000 so extra volume required = 750000 so cubes required = 750000/10*10*10 = 750 996.A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live? (a) 70 (b) 69 (c) 71 (d) 72 997.Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is a) 3 b)5 c)2 d)8 998)1! + 2! + ……. + 50!=? a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d) 3.1035*10^62 999)There is a bacteria which has the probability of die 1/3 of its to tal number or it may tripled. Find out the probability A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3) 1000)Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of
the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. W hich total would be likely to appear more often – 8,9 or 10? a) 8 b)All are equally likely c)9 d)10 1001)A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point. a) 54 b) 27 c) 81 d) 67 Solution Since man moves 2 km east and 2 km west so distance between initial and final points will be ( 37+17)km = 54km
1002)The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true? a)P=1/3+1/5*3 b)P=1/5*(1/8-3) 1003)A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres? a)2812 b)8231 c)2734 d)4222 1004)In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers? a)18 b)19 c)20 d)11
1005)A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a)50 b)8 c)60 d)42 1006)There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following? a) If no. is odd it is head, if no. is even it is tail b) If no. is odd it is tail, if no. is even it is head c) Toss a die until all the 10 d igits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head. 1007)10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa? a)22 b)20 c)10 d)none 1008)Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement? 1009)A hollow space on earth surface is to be filled. Total cost of filling is Rs20000. The cost of filling per mt3 is Rs 225 .how many times a size of 3 mt3 soil is required to fill the hollow space? 1010)A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a piece. What is the total time taken by him in seconds to make 141 pieces? a)560 b)280 c)112 d)324
1011)There are 9 weights like 16,19.156.26, 106,15,24,36 (in kg). There are three persons like rohit, sameer and imran. each lifts 3 types of weights. Rohitâ€s total lifted weight is 2 times than the weight lifted by rohit. What is the weight lifted by imran? 1012)There are two statements. There is also a question. Choose 1 if the question can be answered by using either one. Choose 2 if the question can be answered using both the statements. Choose 3 if the question can not be answered using these two statements Statement1: Avinash spends 30% on house rent, 2 0% on children’s education,40% on foods Statement 2: Pritam spends 20% on house rent, 45% on children’s education,20% on food Question: If pritam spends more than avinash on foods who spends more on children’s education? The question can be answered by a) 1
b) 2
c)3
1013)New town is straight to the north of New york. A high way M runs from newtown making an angle of 61 degree south east. fro m newyork there is also an high way N which runs northeast 61 degrees.if high ways M and N are straight then findout the acute angle made at their intersection point. 1014)There are 7 meetings A,B,C,D,E,F,G .one meeting should happen in one day. Meeting A is on Sunday c and d meetings should happen after B. Then E ,F,G meetings should occur in three conjucutive days. And meeting g is on Saturday. Then meeting the should occur on which day? 1015)There are different things like p,q,r,s,t,u,v. We can take p and q together. If r and s are taken together then t must has to be taken. u and v can be taken together.v can be taken with p or s. every thing can be taken together except
1016)Alok one such child finds only bicycles and wheeled wagons in this schoolyard. He counts the total number of wheels to be 36. What could be the possible number of bicycles? a)14 b)13 c)15 d)20 1017) A sheet of paper has statements numbered from 1 to 30 . For all values of n from 1 to 30 , statement n says "At most n of the statements on this sheet are false". W hich statements are true and which are false? a) All statements are false. b) All statements are true. c) The even numbered statements are true and the odd nu mbered are false. d) The odd numbered statements are true and the ev en numbered are false. 1018)) There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at r andom and a ball at random from the chosen box, the probability of getting a re d ball is maximized. This maximum probability is a) 3/4 b) 37/38 c) 1/2 d) 14/19 1019) A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? a) 800 b) 488 c) 900 d) 500 1020)Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend
choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10? a) 8 b)All are equally likely c)9 d)10 1021)A man goes north 37km.turns left g oes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point. a) 54 b) 27 c) 81 d) 67 Solution Since man moves 2 km east and 2 km west so distance between initial and final points will be (37+17)km = 54km 1022)The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true? a)P=1/3+1/5*3 b)P=1/5*(1/8-3) 1023)A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres? a)2812 b)8231 c)2734 d)4222 1024)In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers? a)18 b)19 c)20 d)11 1025)A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if
it is a glove. How many gloves must she take out to make sure she has a pair of each color? a)50 b)8 c)60 d)42 1026)There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following? a) If no. is odd it is head, if no. is even it is tail b) If no. is odd it is tail, if no. is even it is head c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head. 1027)10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa? a)22 b)20 c)10 d)none 1028)Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement? 1029)A hollow space on earth surface is to be filled. Total cost of filling is Rs20000. The cost of filling per mt3 is Rs 225 .how many times a size of 3 mt3 soil is required to fill the hollow space? 1030)A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a piece. What is the total time taken by him in seconds to make 141 pieces? a)560 b)280 c)112 d)324 1031)There are 9 weights like 16,19.156.26, 106,15,24,36 (in kg). There are three persons like rohit, sameer and imran. each lifts 3 types of weights. Rohitâ€s total lifted weight is 2 times than the weight lifted by rohit. What is the weight lifted by imran?
1032)There are two statements. There is also a question. Choose 1 if the question can be answered by using either one. Choose 2 if the question can be answered using both the statements. Choose 3 if the question can not be answered using these two statements Statement1: Avinash spends 30% on house rent, 2 0% on children’s education,40% on foods Statement 2: Pritam spends 20% on house rent, 45% on children’s education,20% on food Question: If pritam spends more than avinash on foods who spends more on children’s education? The question can be answered by a) 1 b) 2 c)3 1033)New town is straight to the north of New york. A high way M runs from newtown making an angle of 61 degree south east. fro m newyork there is also an high way N which runs northeast 61 degrees.if high ways M and N are straight then findout the acute angle made at their intersection point. 1034)There are 7 meetings A,B,C,D,E,F,G .one meeting should happen in one day. Meeting A is on Sunday c and d meetings should happen after B. Then E ,F,G meetings should occur in three conjucutive days. And meeting g is on Saturday. Then meeting the should occur on which day? 1035)There are different things like p,q,r,s,t,u,v. We can take p and q together. If r and s are taken together then t must has to be taken. u and v can be taken together.v can be taken with p or s. every thing can be taken together except 1036)Alok one such child finds only bicycles and wheeled wagons in this schoolyard. He counts the total number of wheels to be 36. What could be the possible number of bicycles? a)14 b)13 c)15 d)20
1037)) A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30 , statement n says "At most n of the statements on this sheet are false". W hich statements are true and which are false? a) All statements are false. b) All statements are true. c) The even numbered statements are true and the odd numbered are false. d) The odd numbered statements are true and the ev en numbered are false. plz explain answer 1037) There are two boxes, one containing 10 red balls and t he other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at ran dom and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is a) 3/4 b) 37/38 c) 1/2 d) 14/19 1038) A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? a) 800 b) 488 c) 900 d) 500 1039)On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am. a) 71 b) 251 c) 111 d) 89 1040)Alok and Bhanu play the following min-max game.Given the expression
N=26+X(Y-Z) Where X,Y and Z are variables representing single digits (0 to 9).Alok would like to maximize N,while Bhanu would like to minimize it . Towards this end,alok chooses a single digit number and bhanu substitutes this for a variable of her choice (X,Y and Z).Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable.Assuming both play to their optimal strategies, the value of N at the end of the game would be a)-55 b)107 c)44 d)26 1041). A lady has fine gloves and hats in her closet- 18 blue, 32 r ed, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a) 50 b) 8 c) 60 d) 42 1042)30 teams enter a hockey tournament.A team is out of the tournament if it loses 2 games. What is the maximum number of games to be played to decide one winner? a) 61 b)59 c)30 d)60 1043)Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 c m and depth 3 cm. How many more cubes does she need to make a perfect cube? 1044)A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if
it is a glove. How many gloves must she take out to make sure she has a pair of each color? 1045)1! + 2! + 3!...... + 50!=? 1045)If we subtract a number with y, we get 4 increase of number, once it got divided by y itself... Find that number?? A) 13 b) 12 c) 14 d) 11 1047). Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will pr ovide the exact change required and carry as less coins as possible? a)4 b)5 c)6 d)7 1048)the cost of manufacturing a popular model car is made up of three items:cost of raw material,labour and overheads- in a year the cost of three items were in the ration of 4:3:2.next year the cost of the raw material rose by 10% ,labour cost increased by 8% but overhead reduced by 5%.then %increase int the price of the car ? b)6% a)7.67% c)0.54% d)9.54% before increase total cost = 4 +3+2=9, after increasing the cost = 9.54 so increase of .54 over 9 , equal to 6%. 1049). If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more.Now the tank is full then how much time will it take to e mpty the tank throught the leak.? a)78 b)56 c)66 d)59 1050)for the king's revelry 126 barrels of beer have been ordered. however , it was found that one of them is poisoned.the poison takes effect even if consumed in the tiniest 1051). Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small
cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? a) 114 b) 135 c) 21 d) 71 1052)Out of 7 children the youngest is boy then find the probability that all the remaining children are boys a)1/64 b)1/32 c)1/128 d)1/256 1053)A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red 56. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibilty their she will pick up pair of gloves of each color 1054)how many 13 digit numbers ar e possible by using the d igits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed? 1055)There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3) 1056)There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following? a) If no. is odd it is head, if no. is even it is tail b) If no. is odd it is tail, if no. is even it is head c) Toss a die until all the 10 d igits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head. 1057)How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is not allowed? a)57 b)56 c)59 d)58
1058)Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option? a)1/2 b)1/6 c)1/12 d)6/10 1059)Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then a)Alice has no winning strategy. b))In order to win, Alice's first move should be a 1-move. c)In order to win, Alice's first move can be a 0- move or a 1-move. d)In order to win, Alice's first move should be a 0- move. 1060). Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square Solution Ans: 1:(6*sqrt(2)+2)
1061)The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph. 1062)The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph. 1063)Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a)1 b)3 c)4 d)0 1064)Peter and paul are 2 friends.Sum of their ages is 35 years.Peter is twice as old as paul was when peter was as old as paul is now.What is the present age of peter? 1065)A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round? 1066)Alok and Bhanu play the following min-max game. Given the expression N=9+X+Y-Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu
substitutes this for a variable of her choice (X, Y or Z) . Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be 27 0.0 20 18 1067)The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph. a) 236.16 b) 23.62 c) 8.78 d) 11.39 1068)Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. The diameter of the coins should be at least 64mm and not exceed 512mm. Given a coin, the diameter of the next larger coin is at least 50% greater. The diameter of the coin must always be an integer. You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? a)9 b) 5 c) 8 d) 6 1069)Alok and Bhanu play the following min-max game. Given the expression N = 12 + X*(Y - Z) where X, Y and Z are variables representing single digits (0 to 9),
Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z) . Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be 12 93 30 -69 1070)Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square. a)(2+ 7√2):1 1:(2+ 6√2) 1:(2+ 7√2) 1:(4+ 7√3) 1071)Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is 4 3 1 0 1072)10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his r ight is guilty. The right most person is not questioned. Which of the following possibilities are true? A. All suspects are lying or the leftmost suspect is innocent. B. All suspects are lying and the leftmost suspect is innocent . Neither A nor B Both A and B B only A only 1073)The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the
technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code a t the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total? 18 72 6 12 1074)One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and W ednesdays and tells the truth on the other days of the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. W hat day is it? a) Thursday b) Tuesday c) Monday d) Sunday 1075)A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning? a) 3 red and 3 blue faces b) 2 red and remaining blue c) 6 red and 0 blue d) 4 red and remaining blue 1076)A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery? a) 0.75 b) 1 c) 0.5 d) 0.25 1077)36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the
pairs, {a1, a2}, {a2, a3}, ..., {a35, a 36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is a)12 b)11 c)13 d)18 1078)For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such r umors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the GhanaBolivia game? a)1/9 b)4/9 c)5/9 d)2/3 1079)Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed? a) 16 b) 6 c) 10 d) 60 1080)Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a)1 b)3 c)4 d)0 1081)Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the ot her side. The number of 1-sets of P is denoted by n 1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in g eneral position(.i.e no three points in P lie on a line) is a)3 b)5 c) 2 d)1 1082)For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in
a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game? 1083)After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters r andomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope? 1084)alok n bhanu play the following min max game N=9+X+Y-Z so,wer x,y,z,are variables representing single digits(0..9)alok would like to maximise N while bhanu would like to minimise the N towards the end.alok choose a single digit number and bhanu substitutes this for a variable of her own choice (X,Y,Z)alok then chooses the next value and bhanu the v ariable to substitute the value.finally alok proposes the value for the r emaining variable.assuming both play to their optimal strategies. the value of the N at the end of the game would be?? 1085). Alok and Bhanu play the following min-max game. Given the expression N = X - Y – Z where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be a)4 b)9 c)2 d)-18
1086)5. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest ar e ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true? a) In order to win, Alok should remove O1 on his first turn. b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn. c) In order to win, Alok should remove O2 on his f irst turn. d) Alok has no winning strategy. 1087). A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the o ther. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race? a)37.80 b)5 c)40 d)8 1088)A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least n of the statements on this sheet are true." Which statements are true and which are false? a)The even numbered statements are true and the odd numbered are false. b)The first 26 statements are false and the rest are true. c)The first 13 statements are true and the rest are false. d)The odd numbered statements are true and the even numbered are false.
1089)A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' W hich statements are true and which are false? a) All the statements are false. b)The 39th statement is true and the r est are false. c) The odd numbered statements are true and the even numbered statements are false. d) The even numbered statements are true and the odd n umbered statements are false. 1090)10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to h im on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All suspects are lying or the leftmost suspect is innocent. B. All suspects are lying and the leftmost suspect is innocent . a) B only b) Both A and B c) A only d) Neither A nor B 1091)Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is a)3 b) 1 c)0 d)4 1092)A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at s ome point Q in the circle. What is the probability that Q is closer to the center of the circle than the per iphery? a) 0.25 b) 0.75 c) 0.5 d) 1 1093)A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least n of the statements on this sheet are true." Which statements are true and which are false?
a) The even numbered statements are true and the odd n umbered are false. b)The first 26 statements are false and the rest are true. c)The first 13 statements are true and the rest are false. d)The odd numbered statements are true and the even numbered are false. 1094)The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? 256 192 54 64 1095)Entry ticket to an exhibition ranges from 1p to 7p. You need to provide exact change at the counter. You have 7p coin. In how many parts will you divide 7p so that you will provide the exact change required and carry as less coins as possible? 1096)Series Problem like 4 12 x 44 46 132 134. Find x? 1096)Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of the following are necessarily true? A. The points in P lie on a circle. B. The distance between any pair of points in P is larger than the distance between X and a point in P a) A and B b) Neither A nor B c) B only d) A only 1097)Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of the following are necessarily true? A. The points in P lie on a circle.
