TIME & WORK AND PIPES & CISTERNS (QUANTITATIVE APTITUDE) EPFO UPSC

Total Questions: 35

11. ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is

Correct Answer: (c) 12
Solution:

12. A is thrice as good a workman as B and is, therefore, able to finish a piece of work in 60 days less than B. The time (in days) in which they can do it working together is

Correct Answer: (b) 22½ days
Solution:

13. A, B and C can do a piece of work in 10, 12 and 15 days respectively. A leaves 5 days before the completion of the work and B leaves 2 days after A. The whole work lasts for

Correct Answer: (a) 7 days
Solution:

14. A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is :

Correct Answer: (b) 24 hours
Solution:

15. 3 men and 7 women can do a job in 5 days. While 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is:

Correct Answer: (d) 20
Solution:

16. A can do a work in 20 days and B can do the same work in 30 days. In how many days can A and B together do the work ?

Correct Answer: (d) 12
Solution:

17. If 10 men or 20 women or 40 children can do a piece of work in 7 months, then 5 men, 5 women and 5 children together can do half of the work in:

Correct Answer: (c) 4 months
Solution:

18. A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole work will be finished in time is:

Correct Answer: (c) 100
Solution:

19. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days. A alone can finish the remaining work ?

Correct Answer: (b) 6
Solution:

20. A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C they can finish it in 5 days. If they are paid ₹ 960 for the whole work how much money A gets?

Correct Answer: (d) ₹ 400
Solution: