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

Total Questions: 35

1. ‘A’ can complete a piece of work in 12 days. ‘A’ and ‘B’ together can complete the same piece of work in 8 days. In how many days can ‘B’ alone complete the same piece of work?

Correct Answer: (c) 24 days
Solution:

2. A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A & B together make 100 baskets?

Correct Answer: (d) None of these
Solution:

3. 12 Men can complete one-third of the work in 8 days. In how many days can 16 men complete that work?

Correct Answer: (a) 18
Solution:

4. Computer A takes 3 minutes to process an input while computer B takes 5 minutes. If computers A, B and C can process an average of 14 inputs in one hour, how many minutes does computer C alone take to process one input ?

Correct Answer: (c) 6
Solution:

5. If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work ?

Correct Answer: (a) 60 days
Solution:

6. A can complete a piece of work in 18 days, B in 20 days and C in 30 days, B and C together start the work and are forced to leave after 2 days. The time taken by A alone to complete the remaining work is

Correct Answer: (c) 15 days
Solution:

7. A can complete 1/3 of a work in 5 days and B, 2/5 of the work in 10 days. In how many days both A and B together can complete the work?

Correct Answer: (c) 8⅘ days
Solution:

8. 7 men can complete a piece of work in 12 days. How many additional men will be required to complete double the work in 8 days ?

Correct Answer: (c) 14
Solution:

9. A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?

Correct Answer: (a) 6 days
Solution:

10. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in

Correct Answer: (c) 6 days
Solution: