Time and work MCQs with answers pdf for competitive exams. Time and work mcqs pdf download and basic mathematics mcqs with answers pdf for competitive exams.

## A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in ?

A. 110 days

B. 50 days

C. 20 days**D. 30 days**## 2 men and 12 women can finish a job in 4 days. 4 men and 6 women can do the same job in 5 days. Find the time taken by 1 man and 1 woman to complete the job ?

A. 20 days

**B. 24 days**C. 30 days

D. 25 days## A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish, then out of a total wages of Rs.75. A will get ?

**A. 45 Rs.**B. 40 Rs.

C. 35 Rs.

D. None of them## To fill a cistern, pipes P, Q & R take 20, 15 & 12 minutes respectively. The time in minutes that the three pipes together will take to fill the cistern is ?

A. 20 min

**B. 5 min**C. 10 min

D. 15 min## 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. 12 days

B. 7 days**C. 4 days**D. 6 daysWork 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 = 1/200

Work 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## 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. 19

**B. 13**C. 13

D. 56Let work done by Q in 1 day = q

q × (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## 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. 2

**B. 4**C. 5

D. 9Work done by Q in 1 day = 1/12

Work done by P in 1 day = 2 × (1/12) = 1/6

Work done by P and Q in 1 day = 1/12 + 1/6 = ¼

=> P and Q can finish the work in 4 days## A and B can do a piece of work in 21 and 24 days respectively. They start the work together and after some days, A leaves and B completes the rest of the task in 9 days. After how many days did A leave ?

**A. 7**B. 3

C. 14

D. 56A in a day = 1/21 Part of work completed by B in a day = 1/24 Part of work completed by them together in a day = (1/21)+(1/24)

= 5/56 Part of work completed by B in 9 days

= 9/24 = 3/8 If A left after x days,

(5x/56)+(3/8) = 1

x = 7## 4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work ?

A. 8 days

B. 20 days**C. 10 days**D. 15 days(4/m)+(2/w) = 1/2 2/m = 1/5 1/m = 1/10 (4/10)+(2/w) = (1/2) 2/w = 1/10 2 women alone take 10 days.

## A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately. If A begins first, in how many days the work will be completed?

**A. 41/4 days**B. 55 days

C. 42/4 days

D. 78 days