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- 31. 24 men can complete a work in 16 days.32 women can complete the same work in 24 days.16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?
A.16
B.24
C.36
D.48
Answer & Explanation
Answer: Option B 
1man’s 1 day work = 1/384
1 woman’s 1 day work = 1/768
work done in 12 days =12(16/384+16/768) =12*3/48 = 3/4
remaining work =1/4
(16 men + 16 women)’s 2 day work =2(16/384+16/768) = 1/8
remaining work = 1/4 - 1/8 =1/8
1/384 work is done in 1 day by 1man 1/8 work will be done in 2 days by 384 x 1/8 x 1/2 = 24 men
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- 32. 5 men 2 boys working together can do 4 times as much work as a man and a boy working capacities of a woman and boy are in ratio?
A.1:2
B.2:1
C.1:3
D.3:1
Answer & Explanation
Answer: Option B
1 man’s 1 day work = x
1 boy’s 1 day work = y
5x+2y = 4(x + y) => x = 2y => 2:1
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- 33. B and C work together can complete work in 8 days A and B together can complete same work in 12 days and A& C together complete in 16 days in total how many days A,B and C complete the same work together?
A.3 9/13
B.7 5/13
C.7 5/12
D.3 5/12
Answer & Explanation
Answer: Option B
(A+B+C)’s 2 day work = (1/8+1/12+1/16 ) = 13/48
on day work =13/96
so they complete work in 96 /13 = 7 5/13 days
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- 34. In how many days does B alone complete the work
1. B and C together can complete the work in 8 days
2. A and B together can complete the work in 12 days
A.Statement 1 alone is sufficient
B.Statement 2 alone is sufficient
C.Statement 1 and 2are sufficient
D.Statement 1 and 2are not sufficient
Answer & Explanation
Answer: Option D
We cannot find the work done by B.
If C+A work is given we can find it by
B’s work = (A+B+C) work - (A+C) work
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- 35. 16 men and 12 children can complete work in 26 days 13 men can complete the same work in 48 days in how many days’ will12 men and 6 children complete half of the work?
A.12
B.15
C.13
D.None of these
Answer & Explanation
Answer: Option D
16 men and 12 children can do work in 26 days =>in one day
16 *26=416 men and 12*26=312 children can do same work
also, 13 men can do same work in 48 days =>13 *48=624 men
thus 624 men = 412 men + 312 children
=> 2mne = 3 children
24 men can do a work in 26 days
16 men can do same work in =26*24/16 = 39 days
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