11 men can complete a work in 15 days. If 15 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

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11 men can complete a work in 15 days. If 15 men work at the same rate, in how many days will the work be completed?

A. 11.0

B. 17.0

C. 13.0

D. 15.0

Answer: Option A

Solution (By JKSSB Mock Tests)

Total work = 11 × 15 = 165 man-days. Required days = 165/15 = 11.0 days.

This question belongs to: Maths Time and Work

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Question #1

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12 men can complete a work in 14 days. If 17 men work at the same rate, the work will be completed in:

A. 9.88

B. 19.88

C. 14.88

D. 24.88

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Correct Answer: Option A

Explanation:
Total work = 168 man-days. Time = 168/17 = 9.88 days.

This question belongs to: Maths Time and Work

Question #2

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A can do a work in 11 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 10.98

B. 5.98

C. 8.48

D. 13.48

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 5.98 days.

This question belongs to: Maths Time and Work

Question #3

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A and B work together. A alone can complete the work in 24 days and B alone in 24 days. What percentage of the total daily work is contributed by A?

A. 55.0

B. 50.0

C. 52.5

D. 57.5

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Correct Answer: Option B

Explanation:
A share = (1/24) / (1/24+1/24) ×100 = 50.0%.

This question belongs to: Maths Time and Work

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