21 men can complete a work in 18 days. If 26 men work at the same rate, the work will be completed in: MCQ with Answer and Explanation

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21 men can complete a work in 18 days. If 26 men work at the same rate, the work will be completed in:

A. 19.54

B. 29.54

C. 24.54

D. 14.54

Answer: Option D

Solution (By JKSSB Mock Tests)

Total work = 378 man-days. Time = 378/26 = 14.54 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 32 days. What percentage of the work will be completed in 7 days?

A. 29.38

B. 26.88

C. 21.88

D. 24.38

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Correct Answer: Option C

Explanation:
Completed percentage = (7/32)×100 = 21.88%.

This question belongs to: Maths Time and Work

Question #2

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A, B and C can do a work in 6, 8 and 12 hours respectively. If they work together, how many hours will they take to complete the work?

A. 3(1/3) hours

B. 2(1/2) hours

C. 2(2/3) hours

D. 3 hours

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Correct Answer: Option C

Explanation:
Total work = LCM(6, 8, 12) = 24 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9. Time taken together = 24 / 9 = 8 / 3 = 2(2/3) hours.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 11 days and B in 22 days. If they work together, the work will be completed in:

A. 22.33

B. 12.33

C. 17.33

D. 7.33

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Correct Answer: Option D

Explanation:
Combined rate = 1/11 + 1/22. Required time = 7.33 days.

This question belongs to: Maths Time and Work

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