Pipes and Cisterns Quiz Set 015

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Question 1

Two taps X and Y can fill a tank in 4 and 13 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$3{1/17}$ mins.

 B

$4{5/16}$ mins.

 C

$1{16/19}$ mins.

 D

$5{8/19}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X and Y = 1. $x/4 + x/13 = 1$. Solving, we get x = $3{1/17}$.


Question 2

A tank is filled in 15 minutes by three taps running together. Tap A is twice as fast as tap B, and tap B is twice as fast as tap C. How much time will tap A take to fill the tank?

 A

105 mins.

 B

106 mins.

 C

104 mins.

 D

107 mins.

Soln.
Ans: a

Let the time taken by tap A be x mins. Then 15 minutes work of all the taps should add to 1. So we have, $15 × 1/x + 15 × 2/x + 15 × 4/x$ = 1, which is same as $15 × 7/x$ = 1. Solving, we get x = 105 mins.


Question 3

Three taps R, G and B are supplying red, green and blue colored inks into a tub. They can independently fill the tub in 8, 8 and 5 minutes. They are turned on at the same time. What is the ratio of blue ink after 3 minutes?

 A

${4/9}$.

 B

$1{5/8}$.

 C

${4/11}$.

 D

$2{9/11}$.

Soln.
Ans: a

Let the time taken by them to independently fill the tank be r, g and b minutes. Ink discharged by the blue tap is $3/b$. The total of all the inks is $3/r + 3/g + 3/b$. The ratio is ${1/b}/{1/r + 1/g + 1/b}$, which simplifies to ${rg}/{rg + gb + br}$ = ${4/9}$.


Question 4

Three taps R, G and B are supplying red, green and blue colored inks into a tub. They can independently fill the tub in 3, 5 and 8 minutes. They are turned on at the same time. What is the ratio of blue ink after 3 minutes?

 A

${15/79}$.

 B

$1{8/39}$.

 C

${5/27}$.

 D

$3{1/9}$.

Soln.
Ans: a

Let the time taken by them to independently fill the tank be r, g and b minutes. Ink discharged by the blue tap is $3/b$. The total of all the inks is $3/r + 3/g + 3/b$. The ratio is ${1/b}/{1/r + 1/g + 1/b}$, which simplifies to ${rg}/{rg + gb + br}$ = ${15/79}$.


Question 5

One tap can fill a tank 3 times faster than the other. If they together fill it in 14 minutes, how much time does the slower alone take to fill the tank?

 A

56 mins.

 B

4 mins.

 C

2 mins.

 D

6 mins.

Soln.
Ans: a

Let the one minute work of the taps be 1/x and 3/x. We have $1/x + 3/x = 1/14$, which gives x = 4 × 14 = 56 mins.


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This Blog Post/Article "Pipes and Cisterns Quiz Set 015" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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