17 men can complete a work in 14 days. If 22 men work at the same rate, the work will be completed in: MCQ with Answer and Explanation

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17 men can complete a work in 14 days. If 22 men work at the same rate, the work will be completed in:

A. 25.82

B. 20.82

C. 15.82

D. 10.82

Answer: Option D

Solution (By JKSSB Mock Tests)

Total work = 238 man-days. Time = 238/22 = 10.82 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 22 days and B in 20 days. If they work together, the work will be completed in:

A. 10.48

B. 15.48

C. 25.48

D. 20.48

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Correct Answer: Option A

Explanation:
Combined rate = 1/22 + 1/20. Required time = 10.48 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 16 days and B in 32 days. After working together for 5 days, what percentage of work remains?

A. 55.62

B. 60.62

C. 58.12

D. 53.12

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/16+1/32))×100 = 53.12%.

This question belongs to: Maths Time and Work

Question #3

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19 men can complete a work in 32 days. If 27 men work at the same rate, how many days are required?

A. 22.52

B. 25.02

C. 30.02

D. 27.52

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Correct Answer: Option A

Explanation:
Total work = 608 man-days. Days = 22.52.

This question belongs to: Maths Time and Work

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