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# Abaxis Quantitative Aptitude paper

Posted on :30-04-2016

**Q1. P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?**

A. 8/15B. 7/15C. 11/15D. 2/11

**A**

__ANS:__Explanation:Amount of work P can do in 1 day = 1/15Amount of work Q can do in 1 day = 1/20Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15Fraction of work left = 1 – 7/15= 8/15

Q2. P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

A. 9(3/5) daysB. 9(1/5) daysC. 9(2/5) daysD. 10 days

**A**

__ANS:__Explanation:Amount of work P can do in 1 day = 1/16Amount of work Q can do in 1 day = 1/12Amount of work P, Q and R can together do in 1 day = 1/4Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48=> Hence R can do the job on 48/5 days = 9 (3/5) days

**Q3. P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?**

A. 10 daysB. 14 daysC. 15 daysD. 9 days

**C**

__ANS:__Explanation:Amount of work P can do in 1 day = 1/20Amount of work Q can do in 1 day = 1/30Amount of work R can do in 1 day = 1/60P is working alone and every third day Q and R is helping himWork completed in every three days = 2 × (1/20) + (1/20 + 1/30 + 1/60) = 1/5So work completed in 15 days = 5 × 1/5 = 1Ie, the work will be done in 15 days

**Q4. A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.**

A. 18 daysB. 22 1/2 daysC. 24 daysD. 26 days

**B**

__ANS:__Explanation:If A completes a work in 1 day, B completes the same work in 3 daysHence, if the difference is 2 days, B can complete the work in 3 days=> if the difference is 60 days, B can complete the work in 90 days=> Amount of work B can do in 1 day= 1/90Amount of work A can do in 1 day = 3 × (1/90) = 1/30Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45=> A and B together can do the work in 45/2 days = 221/2 days

**Q5. A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?**

A. Rs. 380B. Rs. 600C. Rs. 420D. Rs. 400

**D**

__ANS:__Explanation:Amount of work A can do in 1 day = 1/6Amount of work B can do in 1 day = 1/8Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24Amount of work A + B + C can do = 1/3Amount of work C can do in 1 day = 1/3 - 7/24 = 1/24work A can do in 1 day: work B can do in 1 day: work C can do in 1 day= 1/6 : 1/8 : 1/24 = 4 : 3 : 1Amount to be paid to C = 3200 × (1/8) = 400

**Q6. 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.**

A. 4 daysB. 6 daysC. 2 daysD. 8 days

**A**

__ANS:__Explanation:Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = bWork done by 6 men and 8 women in 1 day = 1/10=> 6m + 8b = 1/10=> 60m + 80b = 1 --- (1)Work done by 26 men and 48 women in 1 day = 1/2=> 26m + 48b = ½=> 52m + 96b = 1--- (2)Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200Work done by 15 men and 20 women in 1 day= 15/100 + 20/200 =1/4=> Time taken by 15 men and 20 women in doing the work = 4 days

**Q7. A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. B alone can complete the work in --- hours.**

A. 12 hoursB. 6 hoursC. 8 hoursD. 10 hours

**A**

__ANS:__Explanation:Work done by A in 1 hour = 1/4Work done by B and C in 1 hour = 1/3Work done by A and C in 1 hour = 1/2Work done by A,B and C in 1 hour = 1/4+1/3 = 7/12Work done by B in 1 hour = 7/12 – 1/2 = 1/12 => B alone can complete the work in 12 hours.

**Q8. P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in**

A. 30 daysB. 25 daysC. 20 daysD. 15 days

**B**

__ANS:__Explanation:Work done by P and Q in 1 day = 1/10Work done by R in 1 day = 1/50Work done by P, Q and R in 1 day = 1/10 + 1/50 = 6/50But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written asWork done by P in 1 day × 2 = 6/50=> Work done by P in 1 day = 3/50=> Work done by Q and R in 1 day = 3/50Hence work done by Q in 1 day = 3/50 – 1/50 = 2/50 = 1/25So Q alone can do the work in 25 days.

**Q9. A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?**

A. 37 1/2 daysB. 22 daysC. 31 daysD. 22 days

**A**

__ANS:__Explanation:Work done by A in 20 days = 80/100 = 8/10 = 4/5Work done by A in 1 day = (4/5) / 20 = 4/100 = 1/25 --- (1)Work done by A and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by A and B)Work done by A and B in 1 day = 1/15 ---(2)Work done by B in 1 day = 1/15 – 1/25 = 2/75=> B can complete the work in 75/2 days = 37 1/2 days

**Q10. Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print the same in 12 hours. All the machines started printing at 9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed?**

A. 3 pmB. 2 pmC. 1:00 pmD. 11 am

**C**

__ANS:__Explanation:Work done by P in 1 hour = 1/8Work done by Q in 1 hour = 1/10Work done by R in 1 hour = 1/12Work done by P,Q and R in 1 hour = 1/8 + 1/10 + 1/12 = 37/120Work done by Q and R in 1 hour = 1/10 + 1/12 = 22/120 = 11/60

From 9 am to 11 am, all the machines were operating.Ie, they all operated for 2 hours and work completed = 2 × (37/120) = 37/60Pending work = 1- 37/60 = 23/60Hours taken by Q an R to complete the pending work = (23/60) / (11/60) = 23/11 which is approximately equal to 2 Hence the work will be completed approximately 2 hours after 11 am ; ie around 1 pm

**Q11. P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?**

A. 8B. 5C. 4D. 6

**D**

__ANS:__Explanation:Work done by P in 1 day = 1/18Work done by Q in 1 day = 1/15Work done by Q in 10 days = 10/15 = 2/3Remaining work = 1 – 2/3 = 1/3Number of days in which P can finish the remaining work = (1/3) / (1/18) = 6

**Q12. 3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?**

A. 50B. 40C. 30D. 20

**B**

__ANS:__Explanation:Work done by 4 men and 6 women in 1 day = 1/8Work done by 3 men and 7 women in 1 day = 1/10Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as4m + 6w = 1/8 ---(1)3m + 7w = 1/10 ---(2)Solving equation (1) and (2) , we get m=11/400 and w=1/400Amount of work 10 women can do in a day = 10 × (1/400) = 1/40Ie, 10 women can complete the work in 40 days

**Q13. A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?**

A. 60B. 50C. 40D. 30

**A**

__ANS:__Explanation:Amount of work done by A and B in 1 day = 1/30Amount of work done by A and B in 20 days = 20 × (1/30) = 20/30 = 2/3Remaining work – 1 – 2/3 = 1/3A completes 1/3 work in 20 daysAmount of work A can do in 1 day = (1/3)/20 = 1/60=> A can complete the work in 60 days

**Q14. A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days.**

A. 5 5/11B. 4 5/11C. 6 4/11D. 6 5/11

**A**

__ANS:__Explanation:A can complete the work in 12 days working 8 hours a day=> Number of hours A can complete the work = 12×8 = 96 hours=> Work done by A in 1 hour = 1/96B can complete the work in 8 days working 10 hours a day=> Number of hours B can complete the work = 8×10 = 80 hours=> Work done by B in 1 hour = 1/80

Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480=> A and B can complete the work in 480/11 hoursA and B works 8 hours a dayHence total days to complete the work with A and B working together= (480/11)/ (8) = 60/11 days = 5 5/11 days

**Q15. P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?**

A. 9B. 11C. 13D. 15

**C**

__ANS:__Explanation:Work done by P in 1 day = 1/23Let work done by Q in 1 day = qq × (130/100) = 1/23=> q = 100/(23×130) = 10/(23×13)Work done by P and Q in 1 day = 1/23 + 10/(23×13) = 23/(23×13)= 1/13=> P and Q together can do the work in 13 days

**Q16. P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in --- days if all of them are working together.**

A. 2B. 3 3/7C. 4 1/4D. 5

**B**

__ANS:__Explanation:Work done by P in 1 day = 1/24Work done by Q in 1 day = 1/6Work done by R in 1 day = 1/12Work done by P,Q and R in 1 day = 1/24 + 1/6 + 1/12 = 7/24=> Working together, they will complete the work in 24/7 days = 3 3/7 days

**Q17. 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?**

A. 5B. 6C. 7D. 8

**C**

__ANS:__Explanation:Work done by 10 men in 1 day = 1/7Work done by 1 man in 1 day = (1/7)/10 = 1/70Work done by 10 women in 1 day = 1/14Work done by 1 woman in 1 day = 1/140Work done by 5 men and 10 women in 1 day = 5 × (1/70) + 10 × (1/140)= 5/70 + 10/140 = 1/7=> 5 men and 10 women can complete the work in 7 days

**Q18. Kamal will complete work in 20 days. If Suresh is 25% more efficient than Kamal, he can complete the work in --- days.**

A. 14B. 16C. 18D. 20

**B**

__ANS:__Explanation:Work done by Kamal in 1 day = 1/20Work done by Suresh in 1 day = (1/20) × (125/100) = 5/80 = 1/16=> Suresh can complete the work in 16 days

**Q19. Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?**

A. 7 hour 15 minutesB. 7 hour 30 minutesC. 8 hour 15 minutesD. 8 hour 30 minutes

**C**

__ANS:__Explanation:Pages typed by Anil in 1 hour = 32/6 = 16/3Pages typed by Suresh in 1 hour = 40/5 = 8Pages typed by Anil and Suresh in 1 hour = 16/3 + 8 = 40/3Time taken to type 110 pages when Anil and Suresh work together = 110 × 3 /40 = 33/4= 8 1/4 hours = 8 hour 15 minutes

**Q20. P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?**

A. 5 daysB. 10 daysC. 14 daysD. 22 days

**B**

__ANS:__Explanation:Work done by P in 1 day = 1/20Work done by Q in 1 day = 1/12Work done by P in 4 days = 4 × (1/20) = 1/5Remaining work = 1 – 1/5 = 4/5Work done by P and Q in 1 day = 1/20 + 1/12 = 8/60 = 2/15Number of days P and Q take to complete the remaining work = (4/5) / (2/15) = 6Total days = 4 + 6 = 10

**Q21. P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?**

A. 4B. 5C. 6D. 7

**C**

__ANS:__Explanation:Let P takes x days to complete the workThen Q takes x/2 days and R takes x/3 days to finish the workAmount of work P does in 1 day = 1/xAmount of work Q does in 1 day = 2/xAmount of work R does in 1 day = 3/xAmount of work P,Q and R do in 1 day = 1/x + 2/x + 3/x = 1/x (1 + 2 + 3) = 6/x6/x = 2=> x = 12=> Q takes 12/2 days = 6 days to complete the work.

**Q22. P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in --- days.**

A. 12B. 16C. 20D. 24

**A**

__ANS:__Explanation:Work done by P in 1 day = 1/15Work done by Q in 1 day = 1/10Work done by P and Q in 1 day = 1/15 + 1/10 = 1/6Work done by P and Q in 2 days = 2 × (1/6) = 1/3Remaining work = 1 – 1/3 = 2/3Time taken by P to complete the remaining work 2/3 = (2/3) / (1/15) = 10 daysTotal time taken = 2 + 10 = 12 days

**Q23. P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?**

A. 10B. 15C. 18D. 22

**C**

__ANS:__Explanation:Let work done by P in 1 day = p,Work done by Q in 1 day = q,Work done by R in 1 day = rp + q = 1/30q + r = 1/24r + p = 1/20Adding all the above, 2p + 2q + 2r = 1/30 + 1/24+ 1/20 = 15/120 = 1/8=> p + q + r = 1/16=> Work done by P,Q and R in 1 day = 1/16Work done by P, Q and R in 10 days = 10 × (1/16) = 10/16 = 5/8Remaining work = 1 = 5/8 = 3/8Work done by P in 1 day = Work done by P,Q and R in 1 day - Work done by Q and R in 1 day= 1/16 – 1/24 = 1/48Number of days P needs to work to complete the remaining work = (3/8) / (1/48) = 18

**Q24. P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in --- days**

A. 1B. 2C. 3D. 4

**D**

__ANS:__Explanation:Work done by Q in 1 day = 1/12Work done by P in 1 day = 2 × (1/12) = 1/6Work done by P and Q in 1 day = 1/12 + 1/6 = ¼=> P and Q can finish the work in 4 days

**Q25. A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is**

A. 1:3B. 4:3C. 2:3D. 2:1

**B**

__ANS:__Explanation:Work done by 20 women in 1 day = 1/16Work done by 1 woman in 1 day = 1/(16×20)Work done by 16 men in 1 day = 1/15Work done by 1 man in 1 day = 1/(15×16)Ratio of the capacity of a man and woman =1/(15×16) : 1/(16×20) = 1/15 : 1/20= 1/3 :1/4 = 4:3

**Q26. P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?**

A. 3B. 8C. 12D. 4

**B**

__ANS:__Explanation:Let work done by P in 1 day = pwork done by Q in 1 day =qWork done by R in 1 day = rp + q = 1/8 ---(1)q + r= 1/12 ---(2)p+ q+ r = 1/6 ---(3)(3) – (2) => p = 1/6 - 1/12 = 1/12(3) – (1) => r = 1/6 – 1/8 = 1/24p + r = 1/12 + 1/24 = 3/24 = 1/8=> P and R will finish the work in 8 days

**Q27. P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.**

A. 7B. 8C. 9D. 10

**D**

__ANS:__Explanation:Work done by P in 1 day = 1/24Work done by Q in 1 day = 1/9Work done by R in 1 day = 1/12Work done by Q and R in 1 day = 1/9 + 1/12 = 7/36Work done by Q and R in 3 days = 3×7/36 = 7/12Remaining work = 1 – 7/12 = 5/12Number of days in which P can finish the remaining work = (5/12) / (1/24) = 10

**Q28. If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.**

A. 12B. 14C. 16D. 18

**C**

__ANS:__Explanation:Wages of 1 woman for 1 day = 2160040×30Wages of 1 man for 1 day = 21600×240×30Wages of 1 man for 25 days = 21600×2×2540×30Number of men = 14400(21600×2×2540×30)=144(216×5040×30)=1449=16

**Q29. P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?**

A. Rs.40B. Rs.70C. Rs.90D. Rs.100

**B**

__ANS:__Explanation:Amount Earned by P,Q and R in 1 day = 1620/9 = 180 ---(1)Amount Earned by P and R in 1 day = 600/5 = 120 ---(2)Amount Earned by Q and R in 1 day = 910/7 = 130 ---(3)(2)+(3)-(1) => Amount Earned by P , Q and 2R in 1 day- Amount Earned by P,Q and R in 1 day = 120+130-180 = 70=>Amount Earned by R in 1 day = 70

**Q30. Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?**

A. Rs.1104B. Rs.1000C. Rs.934D. Rs.1210

**A**

__ANS:__Explanation:Assume that cost of keeping a cow for 1 day = c ,cost of keeping a goat for 1 day = gCost of keeping 20 cows and 40 goats for 10 days = 460Cost of keeping 20 cows and 40 goats for 1 day = 460/10 = 46=> 20c + 40g = 46=> 10c + 20g = 23 ---(1)Given that 5g = cHence equation (1) can be written as 10c + 4c = 23 => 14c =23=> c=23/14cost of keeping 50 cows and 30 goats for 1 day= 50c + 30g= 50c + 6c (substituted 5g = c)= 56 c = 56×23/14= 92

Cost of keeping 50 cows and 30 goats for 12 days = 12×92 = 1104

**Q31. There is a group of persons each of whom can complete a piece of work in 16 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many days are needed to complete the work?**

A. 3 1/4 daysB. 4 1/3 daysC. 5 1/6 daysD. 6 1/5 days

**C**

__ANS:__Explanation:Work completed in 1st day = 1/16Work completed in 2nd day = (1/16) + (1/16) = 2/16Work completed in 3rd day = (1/16) + (1/16) + (1/16) = 3/16…An easy way to attack such problems is from the choices. You can see the choices arevery close to each other. So just see one by one.For instance, The first choice given in 3 1⁄4The work done in 3 days = 1/16 + 2/16 + 3/16 = (1+2+3)/16 = 6/16The work done in 4 days = (1+2+3+4)/16 = 10/16The work done in 5 days = (1+2+3+4+5)/16 = 15/16, almost close, isnt it?The work done in 6 days = (1+2+3+4+5+6)/16 > 1Hence the answer is less than 6, but greater than 5. Hence the answer is 5 1/6 days.

(Just for your reference, work done in 5 days = 15/16.Pending work in 6th day = 1 – 15/16 = 1/16.In 6th day, 6 people are working and work done = 6/16.To complete the work 1/16, time required = (1/16) / (6/16) = 1/6 days.Hence total time required = 5 + 1/6 = 5 1⁄6 days )

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