12 men can complete a work in 16 days. If 16 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

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12 men can complete a work in 16 days. If 16 men work at the same rate, in how many days will the work be completed?

A. 14.0

B. 12.0

C. 16.0

D. 18.0

Answer: Option B

Solution (By JKSSB Mock Tests)

Total work = 12 × 16 = 192 man-days. Required days = 192/16 = 12.0 days.

This question belongs to: Maths Time and Work

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Question #1

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A, B and C can complete a work in 12, 15 and 20 days respectively. If they work together, in how many days will the work be completed?

A. 4 days

B. 5 days

C. 4.5 days

D. 6 days

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Correct Answer: Option B

Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of A = 5, B = 4, C = 3. Combined efficiency = 5 + 4 + 3 = 12 units/day. Time taken together = 60 / 12 = 5 days.

This question belongs to: Maths Time and Work

Question #2

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

A. 23.71

B. 18.71

C. 28.71

D. 13.71

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Correct Answer: Option D

Explanation:
Total work = 288 man-days. Time = 288/21 = 13.71 days.

This question belongs to: Maths Time and Work

Question #3

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20 men can complete a work in 22 days. If 25 men work at the same rate, the work will be completed in:

A. 22.6

B. 17.6

C. 27.6

D. 32.6

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Correct Answer: Option B

Explanation:
Total work = 440 man-days. Time = 440/25 = 17.6 days.

This question belongs to: Maths Time and Work

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