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- 71. A works twice as fast as B. if both of them can together finish a piece of work in 12 days, then B alone can do it in
A.24 days
B.27 days
C.36 days
D.48 days
Answer & Explanation
Answer: Option C 
B = 2A
2A × A/3A = 12
2A/3 = 12
A = 18 days
B = 2 × 18 = 36 days
Therefore, B alone can finish the work in 36 days.
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- 72. A man, a woman and a boy can complete a job in 3 days, 4 days and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day?
A.10
B.41
C.31
D.21
Answer & Explanation
Answer: Option B
1 man’s 1 day’s work = 1/3, ¼ day’s work = 1/3 × ¼ = 1/12
1 woman’s 1 day’s work = ¼, ¼ day’s work = ¼ × ¼ = 1/16
1 boy’s 1 day’s work = 1/12, ¼ day’s work = 1/12 × ¼ = 1/48
Let ‘x’ be the No. of boys required.
Then, (1 man + 1 woman + x boy)’s ¼ day’s work 1/12 + 1/16 + x/48 = 1
= (4 + 3 + x)/48 = 1
i.e. 7 + x= 48 and x = 41.
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- 73. A does 4/5th of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
A.23 days
B.37 days
C.37 ½ days
D.40 days
Answer & Explanation
Answer: Option C
A can finish the whole work in 20 × 5/4 days = 25 days
A and B together finish the whole work in 5 × 3 days = 15 days
Therefore, B can finish the whole work in 25 B/ 25 + B = 15
25 B = 15 ( 25 + B)= 375 + 15B
10B = 375 and B = 375/10 = 37 ½ days.
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- 74. A can do 1/4th part of the work in 10 days, B can do 40% of the work in 40 days and C can do 1/3rd of the work in 13 days. Who will complete the work first?
A.A
B.B
C.C
D.A and C both
Answer & Explanation
Answer: Option C
The whole work is done by A in 4 × 10 = 40 days
B can do the whole work in 40/40 × 100 days = 100 days
C can do the whole work in 3 × 13 = 39 days.
Therefore, the 1st person to complete the work is C.
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- 75. A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3000, A will get:
A.Rs.1200
B.Rs.1500
C.Rs. 1800
D.Rs.2000
Answer & Explanation
Answer: Option C
Ratio of working days of A : B = 10 : 15
Therefore, their wages ratio = reverse ratio = 15 : 10
Therefore, A will get 15 units of ratio
Total ratio = 25
1 unit of ratio =3000/25 = 120
So, A’s amount = 120 × 15 = Rs.1800.
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