Time and Work Quiz Set 004 | Maths Aptitude Quiz Questions and Mock Test on Time and Work Set 4 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 24 days less. In how many days does Mr. P finish that work?

12.

11.

13.

14.

Soln.
Ans: a

Let the time taken by P be x days. Then the time taken by Q is 3x. The difference is 3x - x. So, 2x = 24. Solving, x = 12.

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Question 2

Mr. X can finish a task in 9 days. Mr. Y can do the same work in 5 days. What is the ratio of the efficiencies of X : Y?

${5/9}$.

$1{5/9}$.

${5/8}$.

${3/5}$.

Soln.
Ans: a

The efficiency of X is $100/9$%, and the efficiency of Y is $100/5$%, so the ratio will be $5/9$

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Question 3

A can do a piece of work in 18 days. B is 20% more efficient than A. In how many days can B complete that work?

15 days.

16 days.

14 days.

17 days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as $1/18$. If B is 20% efficient, then one day work of B is $1/18$ × $120/100$ = $1/15$. Which gives 15 days as the answer.

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Question 4

A can harvest a field in 19 days. B can do the same work in 18 days. How much did A get if the farmer pays them a total amount of Rs. 15200 for a work that they together completed in 6 days?

Rs. 4800.

Rs. 4900.

Rs. 4700.

Rs. 5100.

Soln.
Ans: a

Work done by A in 1 day = $1/19$. So the work in 6 days = 6 × $1/19$. His share is Rs. 6 × $1/19$ × 15200 = Rs. 4800.

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Question 5

A can harvest a field in 15 days. B can do the same work in 18 days. C can do the same work in 16 days. How much did A get if the farmer pays them a total amount of Rs. 6000 for a work that they together completed in 2 days?

Rs. 800.

Rs. 900.

Rs. 700.

Rs. 1100.

Soln.
Ans: a

Work done by A in 1 day = $1/15$. So the work in 2 days = 2 × $1/15$. His share is Rs. 2 × $1/15$ × 6000 = Rs. 800.

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