A can do a work in 12 days and B in 22 days. They work together for 5 days. What percentage of work remains? MCQ with Answer and Explanation

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A can do a work in 12 days and B in 22 days. They work together for 5 days. What percentage of work remains?

A. 45.61

B. 35.61

C. 40.61

D. 50.61

Answer: Option B

Solution (By JKSSB Mock Tests)

Remaining work = (1 - 5*(1/12+1/22)) ×100 = 35.61%.

This question belongs to: Maths Time and Work

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Question #1

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

A. 4 days

B. 7 days

C. 5 days

D. 6 days

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Correct Answer: Option D

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

This question belongs to: Maths Time and Work

Question #2

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10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work be completed?

A. 6(2/3) days

B. 8 days

C. 6(1/3) days

D. 7 days

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Correct Answer: Option A

Explanation:
1-day work of 10 men = 1/15. 1-day work of 15 women = 1/12. Combined 1-day work = 1/15 + 1/12 = (4 + 5) / 60 = 9 / 60 = 3 / 20. Total days required = 20 / 3 = 6(2/3) days.

This question belongs to: Maths Time and Work