Short Cut Methods in Quantitative Aptitude-Aptitude Tricks

12/16/12

Short cut methods in quantitativ e aptitude-aptitude tricks

aptitude9 Recruitment 2013,Online Application,Government Jobs in 2013 Home » Aptitude » Reasoning » Computer Knowledge Quiz » Eamcet 2012 » Ibps Clerks 2012 » IBPS Jobs » Top Colleges » Blog You are here: Home / Blog / Short cut methods in quantitative aptitude

Short cut methods in quantitative aptitude

Gmail खाता google.com नःश ुक Google ईमे ल! अपना खाता आज खोल

Short cut methods in quantitative aptitude Todays all competitive exams are having the topics of quantitative aptitude and reasoning.If you know the solving method for particular problem in seconds,then you can said to be good in aptitude.In aptitude for every problem or question we have short cut methods. why aptitude Why and where to apply short cut methods in bank exams like IBPS Written test for MNC job aptitude9.com/short-cut-methods-quantitativ e-aptitude/

1/23


CAT,MAT,GRE,GATE ,railways exams,lic,all national level exams formula or trick ? we are not going to solve the problems in formula,hate formulas,try to solve in logical methods,which are not related to any formula.So we are giving you suggestion that,apply tricks,which improves your logical thinking and attitude Where i have to learn these tricks to solve quantitative aptitude problems? These methods/tricks will not available in any books or any other websites,no any website providing the short cut tricks to solve the problems in less time.In this site you can learn aptitude short cut methods IBPS EXAM SPECIAL Learn short cut methods in aptitude to get your dream job,so for every day,apply new methods to solve the problems by using our short cut methods.Start from here,the lessons for aptitude tricks from all topics.Today we are explaining you,short cut methods in percentage topic ,which related to aptitude. LESSON 1 -SHORT CUT METHODS/TRICKS IN PERCENTAGES CONCEPT: Important Points to Note: 1. When any value increases by 1. 10%, it becomes 1.1 times of itself. (since 100+10 = 110% = 1.1) 2. 20%, it becomes 1.2 times of itself. 3. 36%, it becomes 1.36 times of itself. 4. 4%, it becomes 1.04 times of itself. Thus we can see the effects on the values due to various percentage increases. 2. When any value decreases by 1. 10%, it becomes 0.9 times of itself. (Since 100-10 = 90% = 0.9) 2. 20%, it becomes 0.8 times of itself 3. 36%, it becomes 0.64 times of itself 4. 4%, it becomes 0.96 times of itself. Thus we can see the effects on a value due to various percentage decreases. Note: 1. When a value is multiplied by a decimal more than 1 it will be increased and when multiplied by less than 1 it will be decreased. 2. The percentage increase or decrease depends on the decimal multiplied. Eg: 0.7 => 30% decrease, 0.67 => 33% decrease, 0. 956 => 4.4% decrease and so on. aptitude9.com/short-cut-methods-quantitativ e-aptitude/

2/23


Free Lenovo Smartphone www.lenovo.com/Laptops With stylish Lenovo Ultrabook™ powered by Intel® Core™ processors

Eg: When the actual value is x, find the value when it is 30% decreased. Soln: 30% decrease => 0.7 x. Eg: A value after an increase of 20% became 600. What is the value? Soln: 1.2x = 600 (since 20% increase) ð

x = 500.

Eg: If 600 is decrease by 20%, what is the new value? Soln: new value = 0.8 X 600 = 480. (Since 20% decrease) Thus depending on the decimal we can decide the % change and vice versa. Eg: When a value is increased by 20%, by what percent should it be reduced to get the actual value? Soln: (It is equivalent to 1.2 reduced to 1 and we can use % decrease formula) % decrease = (1.2 – 1)/1.2 X 100 = 16.66%. 3. When a value is subjected multiple changes, the overall effect of all the changes can be obtained by multiplying all the individual factors of the changes. Eg: The population of a town increased by 10%, 20% and then decreased by 30%. The new population is what % of the original? Soln: The overall effect = 1.1 X 1.2 X 0.7 (Since 10%, 20% increase and 30% decrease) = 0.924 = 92.4%. Eg: Two successive discounts of 10% and 20% are equal to a single discount of ___ aptitude9.com/short-cut-methods-quantitativ e-aptitude/

3/23

12/16/12


Soln: Discount is same as decrease of price. So, decrease = 0.9 X 0.8 = 0.72 => 28% decrease (Since only 72% is remaining).

practice problems: 1. If 20% of 40% of a = 25% of a% of b, then what is b? a. 8/5

b. 16/25

c. 8/25

d. None

c. 300

d. None

2. By what % is 200 more than 50? a. 100

b. 200

3. A value changes from 30 to 80. What is the percentage change? a. 125

b. 166.66

c. 156

d. None

4. The population of a city is increased by 30% and thus became 78000. What is the original population? a. 76000

b. 64200

c. 60000

d. None

5. In a theatre, the number of seats is increased by 20% and the price per ticket is increased by 10% but the public response decreased by 30%. What is the net effect on the economy of the theatre? a.10% rise

b. 7% fall

c. 7% rise

d. None

6. A saves 20% of his income. His income is increased by 20% and so he increased his expenditure by 30%. What is the percentage change in his savings? a. 20% fall

b. 4% fall

c. 20% rise

d. 4% rise

7. The price of petrol is increased by 25%. By what percent the consumption be reduced to make the expenditure remain the same? a. 25%

b. 33.33%

c. 20%

d. None

8. The side of a square is increased by 20%. The percentage change in its area is ___ a. 20%

b. 44%

c. 36%

d. None

9. If the length of a rectangle is increased by 33.33%, by what percentage should the breadth be reduced to make the area same? a. 20%

b. 33.33%

c. 25%

d. None

10. In an election between two candidates, A and B, A secured 56% of the votes and won by 48000 votes. Find the total number of votes polled if 20% of the votes were declared invalid. aptitude9.com/short-cut-methods-quantitativ e-aptitude/

4/23

12/16/12


a. 500000

b. 400000

c. 600000

d. None

clear explanation for above problems: 1. 2. 3. 4. 5.

1/5 X 2/5 X a = ¼ X a X b => b = 8/25 % difference = (200-50)/50 X 100 = 300 % % increase = (80-30)/30 X 100 = 166.66 % 1.3 x = 78000 => x = 60000. Net effect = 1.2 X 1.1 X 0.7

= 0.924 => 7.6% decrease. 6. Let I be the income. Expenditure = 0.8I

Savings = 0.2I => 20%

New income = 1.2I (since 20% rise) New expenditure = (0.8I) X 1.3 (Since 30% rise) = 1.04I So, new savings = 1.2I – 1.04I = 0.16I => 16% (So income decreased form 20% to 16%) % decrease = (20-16)/20 X 100 = 20%. 7. It is equivalent to 1.25 decreased to 1. % decrease = (1.25-1)/1.25 X 100 = 20% 8. % change in area = 1.2 X 1.2 (since area = side X side) = 1.44 => 44%. 9. It is equivalent to 1.25 decreased to 1. So 20% decrease. 10. Valid Votes: A got 56% => B got 44% Difference = 12% = 48000 So, 100% = 400000. These are valid votes. But valid votes are only 80% of total votes. So, 80% of total votes = 400000 => total votes = 500000 STILL CONFUSE?SUBMIT YOUE QUIRY IN LEAVE REPLY/SUBMIT COMMENT aptitude9.com/short-cut-methods-quantitativ e-aptitude/


Comments 1. shelly : September 26, 2011 at 3:22 pm thanx ts a gr8 help Reply phani : August 5, 2012 at 4:06 pm hey these are the very good logics but i am unable to capture the data in the question could you please help me out with this Reply 2. BOGBOSSKHAN : October 30, 2011 at 8:27 am VERRY GOOD Reply 3. BIGBOSSKHAN : October 30, 2011 at 8:28 am TOO COOL Reply 4. hari prasad : November 3, 2011 at 9:48 am thanks Reply 5. Saakshi : November 7, 2011 at 9:24 am aptitude9.com/short-cut-methods-quantitativ e-aptitude/

6/23

12/16/12


Dear Sir, Could you please explain me 9th Question in details? Thanks in Advance Reply LOL : September 22, 2012 at 10:27 am ROFLOL Reply 6. Hotdonster : November 9, 2011 at 6:45 am how abt the short cuts for train sums,, Reply 7. Sheetal : November 12, 2011 at 4:51 pm It’s really good but i don’t understand 9 question????? Reply alexreborn : August 20, 2012 at 8:27 am same as ques 7 Reply 8. bhawna : November 14, 2011 at 1:09 pm gud one……. Reply 9. shruti mathur : November 15, 2011 at 1:32 pm its super cool thnks Reply 10. Syed : November 17, 2011 at 6:23 pm Thanks and we will provide all short cut methods for free in the form of video tutorials,which will introduce shortly in this website aptitude9.com/short-cut-methods-quantitativ e-aptitude/

7/23

12/16/12


Reply 11. KESHVI : November 18, 2011 at 10:26 am HEY CAN PLZ…TELL ME SHORT CUTS OF LCM,HCM………….REPLY MUST AS SOON AS POSSIBLE Reply 12. Surendranath : November 19, 2011 at 2:46 pm u r providing beautiful tips in a very simpler manner thank u so much i have a small doubt 1) in decrease of percentage we use higher no in denominator 2)in increase of percentage we use smaller no plz clarify Reply utkarsh gupta : September 11, 2012 at 1:42 pm yeah… just look it by the method of fractions… for increment just increase the whole value by using -1 no, in denominator. n for decrement use the other one like +1 to denominator. but for dat.. u first convert d percentage to the fractional form.. Reply 13. Sumit rawat : November 19, 2011 at 5:58 pm Q.Sum of 5 consecutive odd numbers is 175.what is the second highest number.? Ans.175/5 = 35 35 is mid value So 35 has two consecutives upper values 37 & 39 and two lower values are 33 & 31. Series is 31,33,35,37,39 So the Ans is 37 Reply vinod : November 24, 2011 at 6:38 pm thank u sumit… Reply vijaya : January 12, 2012 at 3:42 pm thank you. aptitude9.com/short-cut-methods-quantitativ e-aptitude/

8/23

12/16/12


it’s very useful for me. Reply 14. Rahul rawat : November 19, 2011 at 6:00 pm Q.Sum of 5 consecutive odd numbers is 175.what is the second highest number.? Ans.175/5 = 35 35 is mid value So 35 has two consecutives upper values 37 & 39 and two lower values are 33 & 31. Series is 31,33,35,37,39 So the Ans is 37 Reply 15. KALYANI : November 21, 2011 at 1:39 pm ITS SO NICE.I REALLY THANKS TO GIVE TRICKS BUT PLEASE GIVE TRICKS FOR OTHER TOPICS. THANK YOU ONCE AGAIN Reply 16. kamal : November 22, 2011 at 11:48 am i dont understand 10 ques.how 400000 will occured? Reply 17. Reena : November 23, 2011 at 11:31 am I Have some problem in question no.10 If 20% votes are invalid so we should minus from 100 and then substract 56% then we will get 24%..and After that we get 20000 total votes. Reply 18. vinod : November 24, 2011 at 6:36 pm hi did u got any shortcuts on percentages.. if so pls tel me Reply 19. nalini : November 26, 2011 at 6:14 am i have doubt that is how to calculate 8% of 800*?=224 4/7*2/3*?=1008 aptitude9.com/short-cut-methods-quantitativ e-aptitude/

9/23

12/16/12


5.5*6.4/0.4=?. Reply 20. Shimrei : November 30, 2011 at 9:30 am Hey thanks so much. so helpful. but kindly help me out with Qs 9 and 10. thank you once again Reply 21. Renu : November 30, 2011 at 9:55 am sir plz post shortcut methods for work related problems. Reply 22. shalu : December 3, 2011 at 7:58 am Thanku. very nice.but i need some more logical reasoning test for pratice Reply kamlesh kumar : August 23, 2012 at 6:20 pm Have you tricks for Compound intrest ,please replay me. Reply 23. Geeta chopra : December 7, 2011 at 5:34 pm Thank you its simply awesome my exam is on 11 dec now i will clear tthis topic Reply 24. AMIT KANOJIA MA'DY : December 9, 2011 at 6:48 pm first of all i would ilke to thanks …. fr d the outstanding sortcut methods nw my concept of this chapter is clear. thanks a lot. Reply aptitude9.com/short-cut-methods-quantitativ e-aptitude/

10/23

12/16/12


25. rohit : December 10, 2011 at 2:53 am i like the why to solve question but this is only one topic if somebody have anouther topic short cut so plz send me on my id [email protected] Reply 26. anandakumaran : December 13, 2011 at 8:17 am how to answer synonymsand antonyms by shortcut metbod? Reply 27. SOMNATH : December 16, 2011 at 6:16 pm gud trick Thank u Reply 28. jayamani : December 20, 2011 at 11:31 am i realy confused…………….. Reply 29. lavanya : December 22, 2011 at 9:55 am thanks…its useful ……but i m confused with 5 th answers solution Reply 30. praveen kumar : December 23, 2011 at 2:25 am it’s really fantastic one.but by explaining vth videos is normally a better choice Reply Syed : December 25, 2011 at 5:54 am Very Valuable Suggestion,We also have planned to release videos on aptitude and reasoning short cuts and concepts.Hope will release soon Always video tutorials reach nicely Reply Jane : July 18, 2012 at 4:50 pm aptitude9.com/short-cut-methods-quantitativ e-aptitude/

11/23

12/16/12


Is there short cuts available for solving problems cube roots and higher order roots , multiple ratios, to find the time taken for one person when days taken by combined people is given Reply 31. Jai kumar : January 5, 2012 at 12:08 pm The answer for the first question is wrong or the question is wrong because in the first question it is a% at the right side if so the answer is 32 not 8/25. Reply 32. mamatha : January 5, 2012 at 3:38 pm it was really good…….but, sir i have dought on 7,8,9,10 que and also help me in remaning topics…in feb iam gng to write gate so please suggest me some techniques about gate……..plzzzzzzzzzzzzz Reply 33. vignesh : January 5, 2012 at 4:21 pm The percentage problem are very nice and usefull but still I have some confussion. If you give little more explanation means it will be ok for all…. I learned something… Reply 34. varsh : January 8, 2012 at 7:44 am could you plz explain a 10th problem again Reply 35. suresh kumar challa : January 9, 2012 at 6:40 am these short cut methods are really helpfull in solving problem in percentage ,thank you Reply 36. shanmu : January 12, 2012 at 3:41 pm in first problem 20%=20/100=1/5, 40%=40/100=2/5, 25%=25/100=1/4 ok then a%=a/100 why u mention it as just a Reply 37. Shripad : January 15, 2012 at 9:49 am aptitude9.com/short-cut-methods-quantitativ e-aptitude/

12/23

2.8 x 25.3 + 18 ÷ 10.2 = ? How to solve this problem using tricks? Reply 38. kalyani : January 17, 2012 at 3:24 am this shortcuts are easy to solve 80% of questions on percentages…but i want shortcuts in other topics… plz is there any chance of sending this topics to my mail…plzz., Reply himani : March 9, 2012 at 12:35 pm on which topic u want Reply sam : June 11, 2012 at 9:30 am hey i want some shortcuts for Profit and loss and Time speed distance… my exam on 15th june so can you help me ? Reply 39. Gokul : January 18, 2012 at 5:52 pm Grt work frnd pls help me with time based problems Reply 40. Dheeraj : January 25, 2012 at 2:58 pm Thanks for the tricks Reply 41. tamilraaj : February 1, 2012 at 11:25 am it was very usefull .. and its easy to learn thanx…. Reply 42. ranvir : February 8, 2012 at 4:30 pm please explain Q.9. Reply 43. zeeshan hussain :

12/16/12


February 10, 2012 at 6:46 am Aptitude is very important and I was really fed up with preparing this. Now I got a simple trick to do it thanks for the short cut! Reply 44. Vikram : February 21, 2012 at 6:00 am Pls send me some easy tricks i want help Reply 45. raj yadav : February 21, 2012 at 8:27 am excellent…. Reply 46. raghav kesar : March 8, 2012 at 4:59 am ohhh it is just awesome.. website.. Reply 47. pari : March 8, 2012 at 11:17 am in question 9 the answer should be 30% therefore None in the given options as the next decreased value from 33.33% is 30% as explained in ur another Topic. Reply 48. himani : March 9, 2012 at 12:33 pm so much thanks Reply 49. anand singh : May 19, 2012 at 12:47 pm so many thanks…….Osam site of many which i mostly come across Reply 50. Mazahar : May 25, 2012 at 5:46 pm Very useful aptitude9.com/short-cut-methods-quantitativ e-aptitude/

14/23

12/16/12


Reply 51. vandana : May 29, 2012 at 10:02 am yhank u a lot pls also help in solving reasongi probles my reasonig is toooooooooooooooooooooooooo bad i want io improv ethis Reply sam : June 11, 2012 at 9:31 am for reasoning i’ll give u much tips mail me… or make messege at FB [email protected] Reply parveen : July 22, 2012 at 9:51 am then take a book ibps bank clerk arihant publication, which is very awesome Reply 52. nilutpol : June 3, 2012 at 7:15 pm Thanks 4r the shortcut…. Bt can it be possible to send more of the short cuts on other apptitue problems… If possible plz help7.77777 Reply 53. urfriend : June 6, 2012 at 11:01 am i have not understood 9 th problem Reply 54. Rajan Shrivastava : June 9, 2012 at 6:19 pm thanks a lot it really helped me : best wishes from my side to this site be a gr8 success Reply 55. Yasmin : June 16, 2012 at 7:38 am Simply super.. Hearty thanks for your helpful tricks to solve percentage. COuld you please send the short cuts to remaining concepts to my mail iD? OR intimate me when you released the videos for other aptitude9.com/short-cut-methods-quantitativ e-aptitude/

15/23

12/16/12


concepts? I’m waiting here for your valuable reply. Reply 56. Prem : June 17, 2012 at 4:16 pm Thank you ! Need such kinds of aid in Reasoning too. Are you updating this site regularly? Reply 57. Gorakh : June 20, 2012 at 11:59 am lovely experience from that Reply 58. ashu : June 24, 2012 at 10:06 pm Question 9 answer is 25% i.e. c option……….. rest all is very useful….. thanx….. Reply swapna : July 7, 2012 at 8:11 am very nice..it is very help ful… Reply 59. mohan : July 4, 2012 at 12:38 pm pls ,provide shortcuts for probability,time &distances,trains with in one day Reply 60. Brinda : July 13, 2012 at 6:08 am answer of the q 9 is 25% let the length =X & breadth = Y den area = XY new length= X*133.33/100 but the area should be same den,let the breadth decresd by (100-Z)%, now X*133.33/100*Y(100-Z)/100 = XY aptitude9.com/short-cut-methods-quantitativ e-aptitude/

16/23

12/16/12


100-Z = 100*100*100/13333 === 75% so Z = 25% Reply 61. Waqar : July 17, 2012 at 8:56 pm its very useful short cuts.. kindly tell about vacbouray & analytical shortcuts also …. how to judge ?? m very weak in it Reply 62. Niru gogoi : July 22, 2012 at 9:06 am thanx .a lot 4 giving some shortcut option Reply 63. parveen : July 22, 2012 at 9:46 am sir thanks for building such a wonder website but if some more test papers are added then it would be much more interesting and useful in all respect Reply 64. Balamurali : July 24, 2012 at 8:19 am Hi sir. Can u send the content short cut methods for all types of aptitude question. Solving techniques Reply 65. durga : July 28, 2012 at 1:46 pm except 9 th ques all were good 9th ans is 25 (1.3333-1)/1.3333*100=24.99=25 Reply 66. sudhir : July 29, 2012 at 6:34 pm fantastic …..super like . Reply 67. rohini : August 7, 2012 at 6:42 pm aptitude9.com/short-cut-methods-quantitativ e-aptitude/

17/23

12/16/12


plz help me in solving this problem One year ago beaties was 4 times as old as his son.in 6 years time his age exceeds twise his son’s age by 9 years . The ratio me their present ages is option 1. 9:2 option 2. 11:3 option 3. 12:5 option 4. 13:4 Reply 68. rohini : August 7, 2012 at 7:12 pm plz help me in solving this problem One year ago beaties was 4 times as old as his son.in 6 years time his age exceeds twise his son’s age by 9 years . The ratio me their present ages is option 1. 9:2 option 2. 11:3 option 3. 12:5 option 4. 13:4 Reply Suresh : August 22, 2012 at 7:50 am Hi harini hear is ur solution… Let the son age be a x and beaties be 4x at one year ago . After 6 years they will be x+6 , 4x+6. Given that beaties exceeds 9 years hence it will be (4x+6)+9 = x+6 then x is 3.after one year it will be 4 and beaties will be 13 hence their ratio is 13:4.. For any quries contact me [email protected] Reply 69. Akila : August 8, 2012 at 12:14 am i dont have any idea abt apps round . but now i hope , when i atten % app questons , i secured good marks. its very useful for me. thaks . i need shortcuts in other topics…plz is there any chance of sending this topics to my mail… Reply 70. siva sankar : August 19, 2012 at 2:41 am Hi sir. Can u send the content short cut methods for all types of aptitude questions. Solving techniques aptitude9.com/short-cut-methods-quantitativ e-aptitude/

18/23

12/16/12


Reply 71. siva sankar : August 19, 2012 at 2:41 am Hi sir. Can u send the content short cut methods for all types of aptitude question. Solving techniques Reply 72. arvi : August 20, 2012 at 9:41 pm hi…………nice tricks…….kindly help me 2 explore another type of question? Reply 73. rahul : August 21, 2012 at 4:04 am pls send the logical tips for solving the problems Reply 74. Sweta : August 21, 2012 at 9:01 am Hi , where are other lessons ? I could not find other than LESSON 1 -SHORT CUT METHODS/TRICKS IN PERCENTAGES Reply 75. Suresh : August 22, 2012 at 7:39 am Hey whats that stupid answer for 9th qustion… Elobarate it clearly Reply 76. Harish : August 22, 2012 at 9:11 am Can you send me any shortcut formula for Time & Distance Reply 77. sachin dange : August 23, 2012 at 10:59 am helpful for our compus test…thanks. Reply 78. malik : August 27, 2012 at 3:10 am aptitude9.com/short-cut-methods-quantitativ e-aptitude/

19/23

12/16/12


thanks what about other shurt cuts is it end with percentage ? please give other questions shurt cuts Reply 79. kiriti : August 29, 2012 at 5:45 pm good work Reply 80. vaibhav jain : September 3, 2012 at 7:14 pm its really to read the concept thank u….. Reply 81. utkarsh gupta : September 11, 2012 at 1:36 pm the solution given for question.9 is wrong… the ans. should b 25 not 20… cz if one thin is increased by 33.33 % (1/3 in fraction) den the other one should decrease by 25% (1/(3+1) = 1/4 in fractions) .. n vice versa.. Reply 82. PRAVEEN KUMAR : September 14, 2012 at 2:44 pm thank you,really useful for students Reply 83. madhuri : September 24, 2012 at 1:59 pm my question is Due to a 25% increase in the price of rice per kg, a person is able to purchase 20kg less for rupees 400. What is the increased price of rice per kg? Reply 84. amit kumar : September 28, 2012 at 7:34 pm give me some other shortcut on another topic………… aptitude9.com/short-cut-methods-quantitativ e-aptitude/

20/23

12/16/12

Reply 85. sabna : September 29, 2012 at 1:05 pm nice Reply 86. anji : October 4, 2012 at 5:01 am sir time & work shortcut methods formula please give me Reply 87. VKS : October 5, 2012 at 11:28 am I know all these, please post something new Sir Reply 88. viswa schoolof banking : October 12, 2012 at 3:04 am GREAT WORK SIR WE TAKE CLASS FOR BANK EXAMS TNPSC RAILWAYS SSC IN OTHER EXAMS WITH SHORT CUT METHOD USE TO TEACH. BY VISWA SCHOOL OF BANKING OPP OF AIRTEL 11 TH CROSS THILLAI NAGER TRICHY-18 7402587727,8220631395 Reply

Speak Your Mind Name * Email * Website

21/23

12/16/12


Post Comment

IIT JEE Online Application 2013

Office Download microsoft.com/free-trial-office365 Work Together In Real Time On Docs, Spreadsheets and More. Learn How.

IBPS Recruitment

IBPS Clerk Hall Ticket 2012 IBPS Challan form for Clerk Exam 2013 IBPS Online Registration for Clerk Exam 2013 IBPS Clerk Syllabus 2013 Latest Government Jobs 2012-2013

AFCAT 2013 Notification for Women and Male LIC of India Recruitment 2013- Apply Online for 12529 DSE Jobs IBPS Clerk Hall Ticket 2012 HSSPP Recruitment 2012 for various vacancies Chaitanya Godavari Gramina Bank Recruitment 2012

aptitude9.com/short-cut-methods-quantitativ e-aptitude/

12/16/12


aptitude9.com on Facebook Like

Aptitude9 on

Follow

19,228 people like aptitude9.com.

+85 F acebook social plugin

Follow @aptitude_9

About · What we do · Advertise with us · Privacy Policy · © Copyright Recruitment 2013-2014

aptitude9.com/short-cut-methods-quantitativ e-aptitude/

Aptitude9 · All Rights Reserved ·

23/23

Short Cut Methods in Quantitative Aptitude-Aptitude Tricks

Recommend Documents