Mathematics MCQs

Work and Time Questions with solutions MCQs

1. Abhijit can complete a piece of work alone in 16 days but Vijay alone can finish the same work in 12 days. Abhijit and Vijay work on alternate days. If Abhijit works on the first day, the house will be built in how many days?

A

12 days

B

13 days

C

13 3/4 days

D

13 1/2 days

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Correct Answer : C
Explanation :

One 2-day cycle does 1/16 + 1/12 = 7/48 of work. After 6 cycles (12 days) done = 42/48 = 7/8. Remaining = 1/8. Next Abhijit does 1/16 so remaining = 1/16. Vijay finishes that in (1/16)/(1/12)=3/4 day. Total = 12 + 1 + 3/4 = 13 3/4 days.

Correct Answered :

Wrong Answered :

2. P can do a job in 15 days. In how many days can P and Q together complete the job if Q is twice as fast as P?

A

3 days

B

5 days

C

2 days

D

6 days

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Correct Answer : B
Explanation :

P=1/15 per day. Q=1/7.5 per day. Together=1/5 per day ? 5 days.

Correct Answered :

Wrong Answered :

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