TIME AND WORK

Practice Question For Sainik And Military School Entrance Exam

By Sainik Institute Lucknow : 09565477302

Multiple Choice Questions (MCQS):

1.    A and B together can complete a work in 8 days and B and C together in 12 days. All of the three together can complete the work in 6 days. In how much time will A and C together complete the work?

(1)  8 days

(2)  10 days

(3)  12 days

(4)  20 days

2.    A work can be completed by P and Q in 12 days, Q and R in 15 days, R and P in 20 days. In how many days P alone can finish the work?

(1)  10 days

(2)  20 days

(3)  30days

(4)  60 days

3.    If A and B together can finish a piece of work in 20 days, B and C in 10 days and C and A in 12 days, then A, B, C jointly can finish the same work in

(1)

(2)  30 days

(3)   days

(4)  days

4.    A and B together can do a piece of work in 12 days, while B alone can finish it in 30 days. A alone can finish the work in

(1)  20 days

(2)  25 days

(3)  15 days

(4)  18 days

5.    A and B can separately do a piece of work in 6 days and 12 days respectively. How long will they together take to do the work?

(1)  9 days

(2)  18 days

(3)  6 days

(4)  4 days

6.    A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B left. The days taken by A to finish the remaining work is

(1)  3

(2)  5

(3)  10

(4)  121

7.    A can do a piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work, both working together?

(1)  4 days

(2)  6 days

(3)  2 days

(4)  3 days

8.    A and B can do a piece of work in 15 days. B and C can do a similar work in 12 days and C and A in 10 days. How many days will A take to do the work by himself?

(1)  13

(2)  24

(3)  40

(4)  8

9.    A and B can do a piece of work in 15 days. B and C can do the same work in 10 days and A and C can do the same work in 12 days. Time taken by A, B and C together to do the job is

(1)  4 days

(2)  9 days

(3)  8 days

(4)  5 days

10. One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do nit in 80 hours, 2 men and 3 women can do it n 120 hours. 5 men and 12 boys can do it in

(1)   hours

(2)   hours

(3)   hours

(4)  44 hours

11. 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:

(1)  30 days

(2)  36 days

(3)  40 days

(4)  20 days

12. A does 30% of a work in 30 days. He then calls in B and they together finish the remaining work in 20 days. How long B alone would take to do the whole work?

(1)  40 days

(2)  80 days

(3)  120 days

(4)  20 days

13. A, B and C can finish a task in 42 days, 84 days and 28 days, respectively. A started the work. B joined him after 3 days. If C joined them after 5 days from the beginning, then for many days did A work till the completion of the task?

(1)  20

(2)  15

(3)  17

(4)  18

14. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

(1)  10 days

(2)  12 days

(3)  15 days

(4)  20 days

15. Three persons undertaken to complete a piece of work for ₹ 1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?

(1)  ₹ 180

(2)  ₹ 200

(3)  ₹ 225

(4)  ₹ 250

16. A, B and C, working alone can do a piece of work in 15, 30 and 75 days respectively. They work together and get Rs. 1615 for completing the work. What is the difference between shares of A and C?

(1)  Rs. 760

(2)  Rs. 620

(3)  Rs. 680

(4)  Rs. 540

17. A is 20% more efficient than B. If B alone can complete a piece of work in 12 days, then A alone can complete the same work in how many days?

(1)  10

(2)  12

(3)  14

(4)  16

18. 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:

(1)  6 months

(2)  4 months

(3)  5 months

(4)  8 months

19. If 4 men or 6 women can do a piece of work in 12 days working 7 hours a day; how many days will it take to complete a work twice as large with 10 men and 3 women working together 8 hours a day?

(1)  6 days

(2)  7 days

(3)  8 days

(4)  10 days

20. If 40 men or 60 women or 80 children can do a piece of work in 6 months, then 10 men, 10 women and 10 children together do half of the work in

(1)   months

(2)   months

(3)  6 months

(4)   months

21. If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in

(1)  21 days

(2)  24 days

(3)  26 days

(4)  33 days

22. 3 men and 5 women can do a work in 14 days while 5 men can do it in 14 days. 5 men and 5 women can complete the work

(1)  13 days

(2)  11 days

(3)  10 days

(4)  12 days

23. 18 men or 25 boys can complete a work in 25 days. How many days will 36 men and 10 boys take to complete the work?

(1) 

(2) 

(3) 

(4) 

24. 3 men, 4 women and 6 boys together can complete a work in 6 days. A woman does triple the work a man does and a boy does half the work a man does. How many women alone will be able to this work in 4 days?

(1)  9

(2)  6

(3)  8

(4)  7

25. 3 men, 4 women and 6 boys together can complete a work in 5 days. A woman does double the work a man does and a boy does half the work a man does in a day. How many women alone can complete this work in 7 days?

(1)  14

(2)  7

(3)  8

(4)  5

26. A can do a certain job in 12 days. B is 60% more efficient than A. Then B can do the same piece of work in

(1)  8 days

(2)   days

(3)   days

(4)  6 days

27. A can do 50% of the job in 16 days. B can do one-fourth of the together, in how many days can they do seven-fourth of the job?

(1)  24

(2)  28

(3)  27

(4)  42

28. A is twice efficient as B in writing a novel. They together can complete the job of writing a novel in 24 days. In how many days can A alone write the same novel?

(1)  24

(2)  18

(3)  32

(4)  36

29. 4 boys from school A and 6 boys from school B together can set up an exhibition in 5 days, which 5 boys from school A and 10 boys from school C together can do in 4 days or 3 boys from school B and 4 boys from school C together can do in 10 days. Then how many boys from school A can set up the exhibition in one day?

(1)  80

(2)  40

(3)  60

(4)  20