Pipes and Cisterns Quiz Set 009 | Maths Aptitude Quiz Questions and Mock Test on Pipes and Cisterns Set 9 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

A tap can fill a tank in 2 hours. Because of a leak it took 3 hours to fill the tank. When the tank has been completely filled, the tap is closed. How long will the water last in the tank?

6 hrs.

7 hrs.

5 hrs.

3 hrs.

Soln.
Ans: a

Work done by the leak in one hour is $1/2 - 1/({18/6})$ = $1/2 - 6/18$ = $6/36$. So the leak will complete the whole task in 6 hours.

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Question 2

A bucket can be filled by a tap in 7 minutes. Another tap on the same bucket can empty it in 9 mins. How long will it take to fill the bucket if both the taps are opened together?

$31{1/2}$ mins.

$32{1/2}$ mins.

$30{1/2}$ mins.

$17{1/4}$ mins.

Soln.
Ans: a

Net part filling in one hour is $1/x - 1/y$ = $(y - x)/(xy)$. So complete filling occurs in $(xy)/(y - x)$ = ${7 × 9}/{9 - 7}$ = ${63/2}$, which is same as: $31{1/2}$ mins.

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Question 3

A tap can fill a tank in 2 hours. Because of a leak it took $3{1/6}$ hours to fill the tank. When the tank has been completely filled, the tap is closed. How long will the water last in the tank?

$5{3/7}$ hrs.

$7{1/2}$ hrs.

$3{4/9}$ hrs.

$6{5/9}$ hrs.

Soln.
Ans: a

Work done by the leak in one hour is $1/2 - 1/({19/6})$ = $1/2 - 6/19$ = $7/38$. So the leak will complete the whole task in ${38/7}$, which is same as: $5{3/7}$ hours.

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Question 4

Two ink dispensers discharge ink into a color mixer. The first one can fill it in 35 minutes, whereas the second can fill it in 7 minutes. Both them are opened at the same time, but the second ink dispenser is turned off after 4 minutes. What is the total time required to fill the color mixer cistern?

15 mins.

16 mins.

14 mins.

17 mins.

Soln.
Ans: a

If the total time is T, the sum of works done by the ink dispensers are $T/35 + 4/7$ = 1. Solving, T = 15 mins.

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