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- 61. 10 women can complete a work in 8 days and 10 children take 12 days to complete the work. How many days will 6 women and 3 children together take to complete the work?
A.7
B.10
C.8
D.9
Answer & Explanation
Answer: Option B 
1 women’s 1 day’s work = 1/8/10 = 1/80
1 child’s 1 day’s work = 1/12/10 = 1/120
6 women’s 1 day’s work = 1/80 × 6 = 3/40
3 children’s 1 day’s work = 1/120 × 3 = 1/40
6 women’s + 3 children’s 1 day’s work = 3 /40 + 1/40 = 1/10
Therefore, they will finish the whole work in 10 days.
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- 62. 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 it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work?
A.68 days
B.81 days
C.96 days
D.124 days
Answer & Explanation
Answer: Option B
1 child’s 1 day’s work = 1/360 ×9 = 1/3240
10 children’s 1 day’s work = 1/324
1 man’s 1 day’s work = 1/72 × 18 = 1/1296
4 men’s 1 day’s work = 1 ×4/1296 = 1/324
12 women’s 1 day’s work = 1/162 given
Then, (4 men + 12 women + 10 children)’s 1 day’s work = 1/324 + 1/162 + 1/324
= 1/324 + 2/324 + 1/324 = 4/324 = 1/81
Therefore, the required No. of days = 81 days.
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- 63. 9 men working 7 hours a day can complete a piece of work in 15 days. How many days can 6 men working for 9 hours a day, complete the same piece of work?
A.15 ¾ days
B.16 days
C.16 ¾ days
D.17 ½ days
Answer & Explanation
Answer: Option D
1 work done = 9 × 7 × 15
9 × 7 × 15 = 6 × 9 × ? days
? days = 9 × 7 × 15/6 × 9
= 35/2 = 17 ½ days.
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- 64. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?
A.9 days
B.21 days
C.24 days
D.27 days
Answer & Explanation
Answer: Option A
(1 Man + 1 woman + 1 boy)’s 1day’s work = 1/3
1 man’s 1 day work = 1/6
1boy’s 1 day’s work = 1/18
(1 Man + 1 boy) ‘s 1 day’s work = 1/6 + 1/18 = 2/9
Therefore, 1 woman’s 1 day’s work = 1/3 – 2/9 = 3-2/9 = 1/9
Therefore, the woman alone can finish the work in 9 days.
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- 65. 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 10 children together complete the piece of work?
A.5 days
B.15 days
C.28 days
D.6 days
Answer & Explanation
Answer: Option D
1 man’s 1 day’s work = 1/8 × 12 = 1/96
10 men’s 1 day’s work = 1 × 10/96 = 5/48
1 woman’s 1 day’s work = 1/192
4 women’s 1 day’s work = 1/192 × 4 = 1/48
1 child’s 1 day’s work = 1/240
10 children’s 1 day’s work = 1/24
Therefore, (10 men + 4 women + 10 children)’s 1 day’s work = 5/48 + 1/48 + 1/24
= 8/48 =1/6
The required No. of days = 6 days
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