8 men can complete a work in 12 days. If 12 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

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8 men can complete a work in 12 days. If 12 men work at the same rate, in how many days will the work be completed?

A. 8.0

B. 12.0

C. 14.0

D. 10.0

Answer: Option A

Solution (By JKSSB Mock Tests)

Total work = 8 × 12 = 96 man-days. Required days = 96/12 = 8.0 days.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 23 days and B can complete the same work in 23 days. If they work together, in how many days will the work be completed?

A. 17.5

B. 15.5

C. 11.5

D. 13.5

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Correct Answer: Option C

Explanation:
Combined rate = 1/23 + 1/23. Time = 1 ÷ combined rate = 11.5 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 15 days and B in 25 days. If both work together, in how many days will the work be completed?

A. 9.38

B. 11.88

C. 16.88

D. 14.38

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Correct Answer: Option A

Explanation:
Combined rate = 1/15 + 1/25. Time = 9.38 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 26 days and B in 52 days. After working together for 5 days, what percentage of work remains?

A. 73.65

B. 76.15

C. 71.15

D. 78.65

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Correct Answer: Option C

Explanation:
Remaining work = (1 - 5*(1/26+1/52))×100 = 71.15%.

This question belongs to: Maths Time and Work

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