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

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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. 19.88

B. 14.88

C. 24.88

D. 9.88

Answer: Option D

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Time and Work

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Question #1

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9 men can complete a work in 25 days. If 13 men work at the same rate, in how many days will the work be completed?

A. 23.31

B. 19.31

C. 21.31

D. 17.31

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Correct Answer: Option D

Explanation:
Total work = 9 × 25 = 225 man-days. Required days = 225/13 = 17.31 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 21 days and B in 28 days. If they work together, the work will be completed in:

A. 17.0

B. 12.0

C. 27.0

D. 22.0

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Correct Answer: Option B

Explanation:
Combined rate = 1/21 + 1/28. Required time = 12.0 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 18 days and B alone in 26 days. What percentage of the total daily work is contributed by A?

A. 66.59

B. 61.59

C. 64.09

D. 59.09

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Correct Answer: Option D

Explanation:
A share = (1/18) / (1/18+1/26) ×100 = 59.09%.

This question belongs to: Maths Time and Work

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