Time and Work
1. 6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of working 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day, how many men would be required totally?
(1) 36
(2) 24
(3) 18
(4) Can’t determined
(5) None of these
2. 8 men and 4 women together can complete a piece of work in 6 days. The work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days 4 men left and 4 new women joined, in how many days will the work be completed?
(1) 5 days
(2) 8 days
(3) 6 days
(4) 4 days
(5) 9 days
3. Work done by A in one day is half of the work done by B in one day. Work done by B is half of the work done by C in one day. If C alone can complete the work in 7 days, in how many days can A, B and C together complete the work?
(1) 28
(2) 14
(3) 4
(4) 21
(5) None of these
4. 24 men can complete a piece of work in 16 days. The same work can be completed by 8 women in 72 days whereas 24 children take 32 days to complete it. If 10 men, 14 women and 24 children work together, in how many days can the work be completed?
(1) 18
(2) 8
(3) 22
(4) 12
(5) None of these
5. A alone can complete a piece of work in 8 days. Work done by B alone in one day is half of the work done by A alone in one day. In how many days can the work be completed if A and B work together?
(1) 
(2) 
(3) 
(4) 
(5) None of these
6. 8 men alone can complete a piece of work in 12 days. 4 women alone can complete the same piece of work in 48 days and 10 children alone can complete the piece of work in 24 days. In how many days can 10 men, 4 women and 10 children together complete the piece of work?
(1) 5
(2) 15
(3) 28
(4) 6
(5) None of these
7. 9 children can complete a piece of work in 360 days. 18 men can complete the same piece of work in 72 days and 12 women can complete the piece of work in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work?
(1) 124
(2) 81
(3) 68
(4) 96
(5) None of these
Directions (Q. Nos. 8 to 11) Each of the questions below consists of a question and two statements A and B given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the questions and both statements and given answer
(1) if statement A is alone sufficient answer the question
(2) if statement B is alone sufficient to answer the question
(3) if both the statements independently are sufficient to answer the question
(4) if both the statements are not sufficient to answer the question
(5) if both the statements together are sufficient to answer the question but neither statement is sufficient alone
8. In how many days, can B alone complete the work?
A. B and C together can complete the work in 8 days.
B. A and B together can complete the work in 12 days.
9. In how many days, can 10 men do a work?
A. 12 women can do the work in 16 days.
B. 4 men and 6 women together can do the work in 16 days.
10. In how many days, can 15 men complete a piece of work?
A. 16 children can complete the same piece of work in 48 days.
B. 9 men can complete the same piece of work in 27 days.
11. In how many days, can Mohan alone complete the work?
A. Mohan and Prakash together can complete the work in 17 days.
B. Rakesh works double as fast as Mohan and can alone complete the work in 10 days.
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