# Quants Questions : Time And Work Set 4

Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in Time and Work, which is common for Â competitive exams like SSC CHSL,SSC CGL,FCI EXAM . We have included Some questions that are repeatedly asked in bank exams !!!

1. 6 men and 5 boys can do a piece of work in 10 days while 20men and 45 boys can do the same in 2 days, how much time taken by 13 men and 25 boys in doing the same work ?
A)2(1/3)days
B)3(1/3)days
C)4(1/3)days
D)2(1/2) days
B)3(1/3)days
Explanation :
(6m+5b)10 = (20m+45b)2
60m+50b = 40m + 90b
20m = 40b
1m = 2b
6m+5b =12b+5b = 17b in 10 days
13m+25b = 26b+25b = 51b inÂ  ? days
17:10 = 51 :?
17*10/51 = ? = 3(1/3) days

2. P and Q Working separately can do a piece of work in 6 days and 11 days, if they work alternately beginning with P then the work will be completed in how many days ?
A)10 days
B)6 days
C)8 days
D)5 days
C)8 days
Explanation :
Total work = 6*11 = 66
2 days(P+Q) = 1/6 + 1/11 = (11+6)/66 = 17/66
6 days(P+Q) = 51/66
Remaining work = (1-(51/66)) = 15/66
In 15, 6 done by P remaining done by Q (2 days)
6+2 = 8 days

3. 3 men and 5 women do a piece of work in 9 days and 2 men 7 children do the same in 6 days. How many women can do as much work as 21 children ?
A)5
B)7
C)8
D)10
D)10
Explanation :
3m+5w = 9days…….(1)6m+10w = 18 days
2m+7c = 6 days…….(2)6m+21c = 18 days
21c = 10w

4. If 12 persons can complete 3/5 of a work in 10 days, then find the number of persons required to complete the remaining work in 10days ?
A)7
B)8
C)9
D)10
B)8
Explanation :
12*10*(3/5) = m *10*(2/5)
M = 72/4 = 18 men

5. P can complete the work in 16 days. P and Q can complete the work in 12days. In how many days Q alone can complete the same work ?
A)32
B)46
C)48
D)38
C)48
Explanation :1/12 – 1/16 = (16 â€“ 12)/192 = 4/192 = 1/48

6. A can complete a piece of work in 8 days and B can complete the work in 10 days and C in 12 days. B and C together worked for 3 days, then C left the work and A replaced him. In how many days will the remaining work be completed ?
A)1
B)2
C)3
D)4
B)2
Explanation :
(x-3)/8 + (x/10) + (3/12) = 1
(5x-15+4x)/40 = 1-3/12 = 12-3/12 = 9/12 = Â¾
9x â€“ 15 = 3*40/4 = 30
X = 45/9 = 5 (3days completed )
5 -3 = 2 days

7. A can finish a piece of work in 24 days. B is 20% more efficient than A and C is 25% more efficient than B. Find the time B and C will take to finish the work?
A)7days
B)6days
C)8days
D)9days
D)9days
Explanation :
A= 1/24
B = 120/100(1/24) = 1/20
C= 125/100(1/20) = 1/16
B+C =(1/20) + (1/16) = 16+20/320 = 36/320 = 8.88 = 9 days

8. Seven men can complete a work in 10 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men ?
A)7
B)6
C)8
D)9
A)7
Explanation :
7 men 1 day’s work will be 1 / 10
7 men 5 days work will be 5 / 10 = 1/2 Â remaining work will be (1- 1/ 2) = 1 / 2
1 man 1 day work will be 1 / (10*7) = 1 / 70
5 mens 1 day work will be 5 / 70
(70/5)*( 1 / 2) = Â 7 days

9. If 40 people can make 60 toys in 8 hrs, if 8 people leave the work, how many toys can make in 12 hrs ?
A)68
B)71
C)72
D)70
C)72
Explanation :
(40*8)/60 = (32*12)/x
X = (32*12*60)/320 = 72 toys

10. 18 Women can complete a work in 10 days. 16 men complete the work in 12 days. The ratio of working capacity of man to that of a woman is
A)15:16
B)16:15
C)15:14
D)14:15
A)15:16
Explanation :1/(16*12) : 1/(18*10) = 1/192 : 1/180 = 1/16 : 1/15 = 15:16

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