1. A alone can do a piece of work in 15 days he worked for 6 days and then replaced by B finishes the remaining work in 15 days, then find the respective ratio between efficiencies of A and B to complete the work?
A) 1 : 8 B) 13 : 5 C) 3 : 5 D) 5 : 3 E) 10 : 7
2. A can do a piece of work in 40 days. After he had worked for 10 days, B replaced him. If B completes the remaining work in 15 days, in how many days can B alone finish the entire work?
A) 20 B) 15 C) 25 D) 10 E) 30
3. 60 men can do a piece of work in 5 days and 50 women can do the same in 9 days. In how many days 24 men and 34 women will complete the whole work together?
4. B is 50% more efficient than A and both A & B together can complete a piece of work in 24 days. If the ratio of efficiency of C to B is 3 : 2, then in how many days B and C together can complete the half of the same work?
A) 4 B) 10 C) 12 D) 6 E) 20
5. A and B can do a piece of work in 12 days and 20 days respectively. They worked for 4 days together and then they left. The remaining work was finished by C in 7 days. In how many days can C alone finish the whole
work?
A) 24 B) 15 C) 12 D) 17.5 E) 18
6. P alone completes a piece of work in 20 days and Q alone completes a piece of work in 25 days. In how many days will both P and Q together complete the same piece of work? (In days)
7. 30 men can complete a piece of work in 15 days. 5 days after they started working. 20 more men joined them How many more days will they now take to complete the remaining work?
A) 7 B) 6 C) 8 D) 9 E) 10
8. A can do a piece of work in 30 days.If A and B together can do rd of the work in 4 days, then find in how many days will B do
A) 7 B) 5 C) 4 D) 14 E) 11
9. Ratio of the efficiency of M to N is 3 : 1 and M alone can complete the work in 10 days. If M and N started the work on alternate starting with N, then in how many days M and N together can complete the work?
10. A alone can complete a given task in 12 days. Together A and B take 7 days to complete the task. If C alone takes 3 days more than
B alone to complete this task, in how many days can C complete this task?
A) 27 B) 21 C) 30 D) 23 E) 24
11. 18 workers working 11 hours a day can build a wall of length 216m, breadth 16m and height 42m in 64
days. In how many days 22 workers working 8 hours a day can build a wall of length 336m, breadth 21m and height 36m?
A) 118 B) 112 C) 130 D) 126 E) 136
12. P and Q alone can do a work individually in 20 days and 30 days respectively. P and Q started the work together and after 5 days, another person R joins with them; also, Q increased his efficiency by 50%, till the completion of the work. If the remaining work has been completed by 5 days, then find how many days R alone complete the work?
A) 20 B) 60 C) 50 D) 35 E) 80
Key
1-D 2-A 3-B 4-A 5-B 6-D 7-B 8-D 9-B 10-D 11-D 12-B