9/25/2016
AM C AT Quanti tati ve Abi l i ty Paper 3 - Pl acem ents sol uti ons
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A MCA MCA T Quantitative Ability Paper 3
Amcat-Q1: What is the greatest number which on dividing 1223 and 2351 leaves remainders 90 and 85 respectively? A. 1133 B. 127 C. 42 D. 1100 Answer : A Amcat-Q2: What is the least multiple of 7 which which leaves a remainder remainder of 4 when divided by 6, 9, 15 and 18 ? A. 364 B. 350 C. 343 D. 371 Answer : A Amcat-Q3: Two trains, each 100 m long are moving in opposite directions. directi ons. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is A. 75 km/hr B. 60 km/hr C. 35 km/hr D. 70 km/hr Answer : B Amcat-Q4: Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? A. 10.30 a.m B. 10 a.m. C. 9.10 a.m. http://pl acem entsol uti on.w eebl y.com /am cat- quanti tati ve- abi l i ty- paper - 3.htm l
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9/25/2016
AM C AT Quanti tati ve Abi l i ty Paper 3 - Pl acem ents sol uti ons
D. 11 a.m. Answer : B Amcat-Q5: A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train? A. 62 m B. 54 m C. 50 m D. 55 m Answer : C
Amcat-Q6: Ritu has 3 shirts in shades of red, 4 in yellow shades and 5 in green shades shades . Three shirts are picked picked at random . the probability that all of those are in red shades is : Ans. Probability of picking red shirt is 3/12. 3/12. Hence 3/12*3/12*3/12= 3/12*3/12*3/12=1/64 1/64
Amcat-Q7: sangeeta invested rs.20,000 rs.20,000 at 8 % per annual . if the interest is compounded compounded half yearly , then total interest interest earned by sangeeta at the end of the year is: Ans. 1632 Amcat-Q8: The difference between a discount of 35% and two successive discounts of 20% and 20% on a certain bill was Rs. 22. Find the amount of the bill. (1) Rs. 1100 (2) Rs. 200 (3) Rs. 2200 (4) Data inadequate Answer : 3) Rs. 2200
Amcat-Q9: Express 4.33333 in p/q p/q form Answer: 4.33333 can be written as 4+(1/3) since 1/3=.33333 so the answer is 13/3
Amcat-10: Two train each 500 m long, are running in opposite directions on parallel tracks. If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is A. 50 sec B. 58 sec C. 24 sec D. 22 sec Answer: C Amcat-Q11: A cistern can be ¥lled by a tap in 3 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, simultaneously, then after how much time will the cistern get ¥lled? A. 4.8 hr B. 2.4 hr C. 3.6 hr D. 1.8 hr
Answer : A Amcat-Q12: Two taps A and B can ¥ll a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 40 minutes more to ¥ll the tank. If the tank is full, how long will it take for the leakage alone to empty the http://pl acem entsol uti on.w eebl y.com /am cat- quanti tati ve- abi l i ty- paper - 3.htm l
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9/25/2016
AM C AT Quanti tati ve Abi l i ty Paper 3 - Pl acem ents sol uti ons
tank? A. 22 hr B. 16 hr C. 28 hr D. 32 hr Answer : C Amcat-Q13: Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to ¥ll the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to ¥ll the empty drum? A. 30 B. 45 C. 60 D. 80 Answer : C Amcat-Q14: How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? A. 720 B. 420 C. None of these D. 5040 Answer : A Amcat-Q15: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together? A. None of these B. 720 C. 420 D. 122 Answer : B Amcat-Q16: Amcat-Q16: A coin is tossed 3 times. Find out the number of of possible outcomes. A. None of these B. 1 C. 2 D. 8 Answer : D Amcat-Q17: In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions? A. None of these B. 64 C. 120 D. 36 Answer : D Amcat-Q18: A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw? A. 64 B. 128 C. 32 D. None of these Answer : A Amcat-Q19: What is the HCF of 13, 23 and 14 ? http://pl acem entsol uti on.w eebl y.com /am cat- quanti tati ve- abi l i ty- paper - 3.htm l
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9/25/2016
AM C AT Quanti tati ve Abi l i ty Paper 3 - Pl acem ents sol uti ons
. B. 1/3 C. 1/4 D. 1/12 Answer : D Amcat-Q20: Two trains, one from P to Q and the other from Q to P, P, start simultaneously. simultaneou sly. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is A. 2 : 3 B. 2 :1 C. 4 : 3 D. 3 : 2 Answer : C Amcat-Q21: Amcat-Q21: A train having a length of 1/4 mile , is traveling traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges? A. 3 min B. 4.2 min C. 3.4 min D. 5.5 min Answer : A Amcat-Q22: How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ? A. 42 B. 50 C. 28 D. 30 Answer: D
Amcat-Q23: The cost price of a Rs. 100 stock at 4 discount, when brokerage is 15% is A. Rs. 96.25 B. Rs. 96.2 C. Rs. 97.25 D. Rs. 97.5 Answer: B
Amcat-q24: A man invests some money partly in 12% stock at 105 and partly in 8% stock at 88. To obtain equal dividends from both, he must invest the money in the ratio: A. 31 : 44 B. 35 : 44 C. 16 : 15 D. 31 : 27 Answer : B Amcat-Q25: Which pair of rational numbers lie between 1/5 and 2/5 – A) 262/1000, 275/1000 B) 362/1000, 562/1000 C) 451/1000, 552/1000 D) 121/1000,131/1000 Answer : A
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