A is twice as efficient as B and B is twice as efficient as C. If A and B together can complete a work in 4 days, then C alone can complete it in: MCQ with Answer and Explanation

A is twice as efficient as B and B is twice as efficient as C. If A and B together can complete a work in 4 days, then C alone can complete it in:
A. 24 days
B. 32 days
C. 12 days
D. 16 days
Answer: Option A
Solution (By JKSSB Mock Tests)
Let efficiency of C = 1. Then efficiency of B = 2 and efficiency of A = 4. Combined efficiency of A and B = 4 + 2 = 6. Total work = 4 * 6 = 24 units. Time taken by C alone = 24 / 1 = 24 days.

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Practice More Time and Work Questions

Question #1
A can do a work in 11 days and B in 23 days. In how many days will they complete 75% of the work together?
A. 10.58
B. 13.08
C. 5.58
D. 8.08

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 5.58 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 26 days. What percentage of work will A complete in 6 days?
A. 23.08
B. 28.08
C. 38.08
D. 33.08

Correct Answer: Option A


Explanation:
Percentage completed = (6/26) × 100 = 23.08%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 19 days and B in 38 days. After working together for 5 days, what percentage of work remains?
A. 65.53
B. 63.03
C. 60.53
D. 68.03

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/19+1/38))×100 = 60.53%.

This question belongs to: Maths Time and Work