(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Time & Work (MCQ -11)

1. A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the work?
(a) 16
(b) 24
(c) 37
(d) 48

2. A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:
(a) 11
(b) 7
(c) 9
(d) 12

3. A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed?
(a) 15 days
(b) 24 days
(c) 25 days
(d) 38 days

4. A, B and C together earn Rs.300 per day, while A and C together earn Rs.188 and B and C together earn Rs.152. The daily earning of C is:
(a) Rs.40
(b) Rs.70
(c) Rs.112
(d) Rs.160

5. Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs.150. What is the share of Kim?
(a) Rs.40
(b) Rs.60
(c) Rs.70
(d) Rs.75

6. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
(a) Rs.450
(b) Rs.400
(c) Rs.600
(d) Rs.900

7. A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs.1500 for the whole work, the daily wages of B and C are:
(a) Rs.160
(b) Rs.225
(c) Rs.255
(d) Rs.350

8. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
(a) 13 days
(b) 16 days
(c) 15 days
(d) 22 days

9. 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?
(a) 15
(b) 19
(c) 23
(d) data inadequate

10. Twelve children take sixteen days to complete a work which can be completed by eight adults in twelve days. Sixteen adults started working and after three days ten adults left and four children joined them. How many days will they take to complete the remaining work?
(a) 3 days
(b) 5 days
(c) 6 days
(d) 9 days

11. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
(a) 5 days
(b) 8 days
(c) 7 days
(d) 4 days

12. Sixteen men can complete a work in twelve days. Twenty-four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days three more children joined them. How many days will they now take to complete the remaining work?
(a) 5 days
(b) 4 days
(c) 10 days
(d) 9 days

13. Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?
(a) 18 men
(b) 24 men
(c) 36 men
(d) 50 men

14. 5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a woman and a boy are in the ratio:
(a) 1 : 2
(b) 2 : 1
(c) 1 : 3
(d) 6 : 7

15. If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is:
(a) 2 : 1
(b) 3 : 1
(c) 3 : 2
(d) 6 : 7

16. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
(a) 55 days
(b) 40 days
(c) 45 days
(d) 60 days

17. A and B can do a piece of work in 12 days, B and C can do a it in 15 days and C and A can do the same work in 20 days. Find the number of days in which A alone can do the same job.
(a) 20 days
(b) 30 days
(c) 45 days
(d) 60 days

18. A and B together can do a piece of work in 12 days which B and C together can do in 16 days, After A has been working at it for 5 days and B for 7 days, C takes up and finishes it alone in 13 days. In how many days C alone can do the work.
(a) 16 days
(b) 32 days
(c) 24 days
(d) 48 days

19. A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. In how many days, B alone will be able to complete the same work?
(a) 80 days
(b) 84 days
(c) 88 days
(d) 92 days

20. A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the remaining work in 42 days. The two together could complete the work in how many days?
(a) 30 days
(b) 40 days
(c) 50 days
(d) 60 days

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