A can complete a work in 23 days and B in 46 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

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A can complete a work in 23 days and B in 46 days. After working together for 5 days, what percentage of work remains?

A. 69.89

B. 72.39

C. 67.39

D. 74.89

Answer: Option C

Solution (By JKSSB Mock Tests)

Remaining work = (1 - 5*(1/23+1/46))×100 = 67.39%.

This question belongs to: Maths Time and Work

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Question #1

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A is twice as efficient as B. If they complete a piece of work together in 14 days, how many days will A alone take to finish it?

A. 28 days

B. 35 days

C. 42 days

D. 21 days

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Correct Answer: Option D

Explanation:
Let B's efficiency be 1 unit/day, so A's efficiency is 2 units/day. Combined efficiency = 3 units/day. Total work = 3 * 14 = 42 units. Time taken by A alone = 42 / 2 = 21 days.

This question belongs to: Maths Time and Work

Question #2

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8 men can complete a work in 18 days. If 12 men work at the same rate, in how many days will the work be completed?

A. 16.0

B. 14.0

C. 18.0

D. 12.0

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Correct Answer: Option D

Explanation:
Total work = 8 × 18 = 144 man-days. Required days = 144/12 = 12.0 days.

This question belongs to: Maths Time and Work

Question #3

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A can do a work in 17 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 13.04

B. 10.54

C. 15.54

D. 8.04

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Correct Answer: Option D

Explanation:
Combined time for full work multiplied by 0.75 = 8.04 days.

This question belongs to: Maths Time and Work

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