Time and Work Previous Years -II

1. Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
(1) 8
(2) 7
(3) 12
(4) Cannot be determined
(5) None of these

2. 12 men take 36 days to do a work while 12 women complete 3/4 th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work ?
(1) 6
(2) 27
(3)12
(4) Data inadequate
(5) None of these

3. ‘A’ can complete a piece of work in 12 days. ‘A’ and ‘B’ together can complete the same piece of work in 8 days. In how many days can ‘B’ alone complete the same piece of work ?
(1) 15 days
(2) 18 days
(3) 24 days
(4) 28 days
(5) None of these

4. 12 men can do a piece of work in 10 days. How many men would be required to do the same work in 8 days ?
(1) 14
(2) 18
(3) 16
(4) 12
(5) None of these

5. A and B together complete a piece of work in T days. If A alone completes the work in T +3 days and B alone completes the piece of work in T +12 days, what is T ?
(1) 3 days
(2) 12 days
(3) 9 days
(4) Cannot be determined
(5) None of these

6. 4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed ?
(1) 1 day
(2) 3 days
(3) 2 days
(4) 4 days
(5) None of these

7. Amit and Sujit together can complete an assignment of data entry in 5 days. Sujit’s speed is 80% of Amit’s speed and the total key depressions in the assignment are 5,76,000. What is Amit’s speed in key depressions per hour if they work for 8 hours a day ?
(1) 4800
(2) 6400
(3) 8000
(4) 7200
(5) None of these

8. 9 Men working for 7 hours a day can complete a piece of work in 15 days. In how many days can 6 men working for 9 hours a day, complete the same piece of work ?
(1) 17(1/2) days
(2) 16(3/4) days
(3) 16 days
(4) 15(3/4) days
(5) None of these

9. If 12 boys or 15 girls can do a work in 48 days, in what time will 24 boys and 6 girls do twice the work ?
(1) 42 days
(2) 40 days
(3) 45 days
(4) 30 days
(5) None of these

10. Seven men, five women and eight children were given an assignment of distributing 2000 books to students in a school over a period of three days. All of then distributed books on the first day. On the second day two women and three children remained absent and on the third day three men and
five children remained absent. If the ratio of the number of books distributed in a day by a man, a woman and a child was 5 : 4 : 2 respective, a total of approximately how many books were distributed on the second day ?
(1) 1000
(2) 800
(3) 650
(4) 900
(5) Cannot be determined


Answers :-
1. (2) 
2. (2)
3. (3) 
4. (5)
5. (5) 
6. (1)
7. (3)
8. (5)
9. (4)
10. (3)