Q. 1. 5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it?
(a) 4
(b) 5
(c) 6
(d) 8
(e) None of these
Q. 22. A work could be completed in 100 days. However, due to the absence of 10 workers, it was completed in 110 days then, the original number of workers was
(a) 100
(b) 110
(c) 55
(d) 50
(e) None of these
Q. 23. A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to completed the job if the two teams work together?
(a) 4
(b) 6
(c) 9
(d) 18
(e) None of these
Q. 24. A can do a piece of work in 12 days, while B can do it in 8 days with the help of C, they finish the work in 4 days. Then C alone can do the work in
(a) 24 days
(b) 20 days
(c) 16 days
(d) 4 days
(e) None of these
Q. 25. A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job if 6 men leave after working for 6 days?
(a) 3
(b) 12
(c) 6
(d) 24
(e) None of these
Q. 26. Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long should it take, worker A and worker B, working together but independently, do the same job?
(a) 4 1/9 hours
(b) 4 2/9 hours
(c) 4 4/9 hours
(d) 4 5/9 hours
(e) None of these
Q. 27. Three workers working all days can do a work in 10 days. But one of them having other employment can work only half time. In how many days the work can be finished?
(a) 15 days
(b) 16 days
(c) 12 days
(d) 12.5 days
(e) None of these
Q. 28. Sam, Bob and Kim can do a job alone in 15 days, 10 days and 30 days respectively. Sam is helped by Bob and Kim every third day. In how many days will the job be completed?
(a) 9 days
(b) 8 1/3 days
(c) 8 days
(d) 6 1/3 days
(e) None of these
Q. 29. Prakash alone can complete a job in 12 hours, Jayant alone can complete the same job in 6 hours. How many hours will they take together to complete the job?
(a) 4
(b) 6
(c) 2
(d) 8
(e) None of these
Q. 30. 56 men completes a work in 12 days. How many men will be required to complete the work in 16 days?
(a) 38
(b) 24
(c) 42
(d) 48
(e) None of these
Ans: 1. (b) 5
Explanation:
5men × 6 = 10 women × 5
30 men = 50 women
1 woman = 30/50 men = 3/5 men
5 women = 3/5 × 5 men = 3 men
5 women + 3 men = 3 + 3 = 6 men
That is, 1 work done = 5 × 6
5 × 6 = 6 × ?days
? days = 5 × 6/6 = 5 days. Ans.
Ans: 2. (b) 110
Explanation:
Let ‘x’ be the original number of workers
Then, x × 100 = ( x – 10) 110
100 x = 110x – 1100
1100 = 10 x
x = 110. Ans.
Ans: 3. (a) 4
Explanation:
Consider men’s work days as one group and women’s working days as other group
Then, the required No. of days = 12 × 6/18 = 4 days. Ans.
Ans: 4. (a) 24 days
Explanation:
A and B together can do the work in 12 × 8/20 = 96/20 days
A +B and C together do the work in 4 days.
Then C alone can do the work in 96/20 × 4/96/20 – 4 days
= 96/5/16/20 = 96/5 × 20/16 = 24 days. Ans.
Ans: 5. (c) 6
Explanation:
Half the work is done by 12 men in 6 days.
Remaining half should be done by 6 men in ? days
Then, 12 × 6 × ½ = 6 × ?days × ½
36 = 3 × ?days
? days = 36/3 =12 days
Extra days required = 12 -6 = 6 days. Ans.
Ans: 6. (c) 4 4/9 hours
Explanation:
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
Then 8 × 10/18 = 4 4/9 hours. Ans.
Ans: 7. (c) 12 days.
Explanation:
Sum of each persons’ one day’s work = 1/3 ×10 + 1/3 ×10 + 1/3× 20 = 1/30 + 1/30 + 1/60
= 5/60 = 1/12
Therefore, the work can be finished in 12 days. Ans.
Ans: 8. (a) 9 days
Explanation:
The work done by the three persons in 3 days ( because Sam works only on every third day)
= 3/15 + 1/10 + 1/30 = 6 + 3 + 1/30 = 10/30
= 1/3 of the work
Therefore, the job will be completed in 3 × 3 = 9 days. Ans.
Ans: 9. (a) 4
Explanation:
If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days.
Here, the No. of hours required to complete the work , working together = 12 × 6/18
= 4 hours. Ans.
Ans: 10. (c) 42
Explanation:
1 work done = 56 men × 12 days
Then, 56 ×12 = ? men × 16
? men = 56 × 12/16 = 42 men. Ans.
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