12 men can complete a work in 8 days. How many days will it take for 16 men to complete the same work? MCQ with Answer and Explanation

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12 men can complete a work in 8 days. How many days will it take for 16 men to complete the same work?

A. 5 days

B. 7 days

C. 4 days

D. 6 days

Answer: Option D

Solution (By JKSSB Mock Tests)

Using M1 * D1 = M2 * D2: 12 * 8 = 16 * D2. 96 = 16 * D2. D2 = 96 / 16 = 6 days.

This question belongs to: Maths Time and Work

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Question #1

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A and B can complete a piece of work in 24 days and 30 days respectively. Working together, what fraction of the work can they complete in 4 days?

A. 3/10

B. 7/20

C. 4/15

D. 1/5

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Correct Answer: Option A

Explanation:
Total work = LCM(24, 30) = 120 units. Efficiency of A = 5, B = 4. Combined efficiency = 9 units/day. In 4 days, work completed = 4 * 9 = 36 units. Fraction of work completed = 36 / 120 = 3 / 10.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 32 days and B in 26 days. If both work together, in how many days will the work be completed?

A. 16.84

B. 14.34

C. 21.84

D. 19.34

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Correct Answer: Option B

Explanation:
Combined rate = 1/32 + 1/26. Time = 14.34 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 15 days and B in 30 days. After working together for 5 days, what percentage of work remains?

A. 55.0

B. 57.5

C. 50.0

D. 52.5

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Correct Answer: Option C

Explanation:
Remaining work = (1 - 5*(1/15+1/30))×100 = 50.0%.

This question belongs to: Maths Time and Work

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