A can do a work in 10 days and B in 20 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 10 days and B in 20 days. They work together for 5 days. What percentage of work remains?

A. 25.0

B. 35.0

C. 40.0

D. 30.0

Answer: Option A

Solution (By JKSSB Mock Tests)

Remaining work = (1 - 5*(1/10+1/20)) ×100 = 25.0%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 16 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed?

A. 13.08

B. 11.08

C. 15.08

D. 9.08

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Correct Answer: Option D

Explanation:
Combined rate = 1/16 + 1/21. Time = 1 ÷ combined rate = 9.08 days.

This question belongs to: Maths Time and Work

Question #2

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15 men can complete a work in 12 days. How many days will 18 men take to complete the same work?

A. 9 days

B. 8 days

C. 11 days

D. 10 days

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Correct Answer: Option D

Explanation:
Using M1 * D1 = M2 * D2: 15 * 12 = 18 * D2 => 180 = 18 * D2 => D2 = 10 days.

This question belongs to: Maths Time and Work

Question #3

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10 men can complete a work in 22 days. If 15 men work at the same rate, the work will be completed in:

A. 29.67

B. 14.67

C. 19.67

D. 24.67

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Correct Answer: Option B

Explanation:
Total work = 220 man-days. Time = 220/15 = 14.67 days.

This question belongs to: Maths Time and Work

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