13 men can complete a work in 23 days. If 17 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

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13 men can complete a work in 23 days. If 17 men work at the same rate, in how many days will the work be completed?

A. 23.59

B. 19.59

C. 21.59

D. 17.59

Answer: Option D

Solution (By JKSSB Mock Tests)

Total work = 13 × 23 = 299 man-days. Required days = 299/17 = 17.59 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 17 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. 10.43

B. 14.43

C. 16.43

D. 12.43

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Correct Answer: Option A

Explanation:
Combined rate = 1/17 + 1/27. Time = 1 ÷ combined rate = 10.43 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 8 days and B in 29 days. If they work together, the work will be completed in:

A. 11.27

B. 21.27

C. 6.27

D. 16.27

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Correct Answer: Option C

Explanation:
Combined rate = 1/8 + 1/29. Required time = 6.27 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 30 days. What percentage of the total daily work is contributed by A?

A. 62.5

B. 70.0

C. 67.5

D. 65.0

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Correct Answer: Option A

Explanation:
A share = (1/18) / (1/18+1/30) ×100 = 62.5%.

This question belongs to: Maths Time and Work

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