If 5 men and 2 boys can do in a day 4 times as much work as a man and a boy together, find the ratio of the efficiency of a man to that of a boy. MCQ with Answer and Explanation

Question

If 5 men and 2 boys can do in a day 4 times as much work as a man and a boy together, find the ratio of the efficiency of a man to that of a boy.

A. 2 : 1

B. 1 : 2

C. 3 : 1

D. 4 : 1

Answer: Option A

Solution (By JKSSB Mock Tests)

Given: 5M + 2B = 4 * (1M + 1B) => 5M + 2B = 4M + 4B => 1M = 2B => M / B = 2 / 1. The ratio of efficiency of a man to a boy is 2 : 1.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 22 days and B can complete the same work in 27 days. If they work together, in how many days will the work be completed?

A. 12.12

B. 18.12

C. 16.12

D. 14.12

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Correct Answer: Option A

Explanation:
Combined rate = 1/22 + 1/27. Time = 1 ÷ combined rate = 12.12 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 22 days and B in 33 days. If both work together, in how many days will the work be completed?

A. 15.7

B. 20.7

C. 13.2

D. 18.2

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Correct Answer: Option C

Explanation:
Combined rate = 1/22 + 1/33. Time = 13.2 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 10 days and B in 20 days. After working together for 5 days, what percentage of work remains?

A. 32.5

B. 25.0

C. 27.5

D. 30.0

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Correct Answer: Option B

Explanation:
Remaining work = (1 - 5*(1/10+1/20))×100 = 25.0%.

This question belongs to: Maths Time and Work

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