Time and Work Quiz Set 002 | Maths Aptitude Quiz Questions and Mock Test on Time and Work Set 2 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

Mr. X can finish a task in 15 days. Mr. Y can do the same work in 17 days. What is the ratio of the efficiencies of X : Y?

$1{2/15}$.

$2{2/15}$.

$1{3/14}$.

$1{1/8}$.

Soln.
Ans: a

The efficiency of X is $100/15$%, and the efficiency of Y is $100/17$%, so the ratio will be $17/15$

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Question 2

A, B and C complete a work in 16, 10 and 18 days respectively. All three of them start the work together, but A leaves the work after 1 days. In how many days will the work be completed?

$6{3/112}$ days.

$7{3/112}$ days.

$8{3/112}$ days.

$9{3/112}$ days.

Soln.
Ans: a

Use the shortcut formula. If A, B, C can independently complete the job in x, y and z days, and A leaves after n days, the work is completed in ${yz}/{y + z}$ × $(1 - n/x)$ days. Putting the various values x = 16, y = 10, z = 18, n = 1, and simplifying, we get ${675/112}$, which is same as: $6{3/112}$.

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Question 3

A new tub can be filled by a tap in 2 minutes. But the tub is worn out, and there is a leakage that can empty the tub in 13 minutes. In how many minutes will the tap be able to fill the tub?

$2{4/11}$ mins.

$3{4/11}$ mins.

$4{4/11}$ mins.

$5{4/11}$ mins.

Soln.
Ans: a

Putting x = 2 and y = 13 in the shortcut method, we get ${xy}/{y - x}$ = ${26/11}$, which is same as: $2{4/11}$.

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Question 4

A can harvest a field in 10 days. B can do the same work in 16 days. C can do the same work in 14 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. 1200.

Rs. 1300.

Rs. 1100.

Rs. 1500.

Soln.
Ans: a

Work done by A in 1 day = $1/10$. So the work in 2 days = 2 × $1/10$. His share is Rs. 2 × $1/10$ × 6000 = Rs. 1200.

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Question 5

A can harvest a field in 6 days. B can do the same work in 12 days. How much did A get if the farmer pays them a total amount of Rs. 3000 for a work that they together completed in 3 days?

Rs. 1500.

Rs. 1600.

Rs. 1400.

Rs. 1800.

Soln.
Ans: a

Work done by A in 1 day = $1/6$. So the work in 3 days = 3 × $1/6$. His share is Rs. 3 × $1/6$ × 3000 = Rs. 1500.

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