Pipes and Cisterns Quiz Set 013

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Question 1

Three taps R, G and B are supplying red, green and blue colored inks into a tub. They can independently fill the tub in 6, 8 and 6 minutes. They are turned on at the same time. What is the ratio of blue ink after 3 minutes?

 A

${4/11}$.

 B

$1{1/2}$.

 C

${4/13}$.

 D

$2{11/13}$.

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 ${rg}/{rg + gb + br}$ = ${4/11}$.


Question 2

A tank is (2/9)th filled with water. When 108 liters of water are added, it becomes (2/3)th filled. What is the capacity of the tank?

 A

243 liters.

 B

253 liters.

 C

263 liters.

 D

273 liters.

Soln.
Ans: a

Let x be the capacity in liters. ${2x}/9 + 108 = {2x}/3$. Solving, x = 243 liters.


Question 3

What is the volume of the tank in liters if it measures 9m × 5m × 9m?

 A

405000 liters.

 B

405 liters.

 C

2250 liters.

 D

72900 liters.

Soln.
Ans: a

The volume in m3 is 9 × 5 × 9 = 405m3. But 1m3 = 1000L. So volume in liters = 405 × 1000 = 405000L.


Question 4

Two taps X and Y can fill a tank in 5 and 13 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$3{11/18}$ mins.

 B

$4{15/17}$ mins.

 C

$2{7/20}$ mins.

 D

$5{19/20}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X and Y = 1. $x/5 + x/13 = 1$. Solving, we get x = $3{11/18}$.


Question 5

A city tanker is filled by two large pipes, X and Y, together in 18 and 12 minutes respectively. On a certain day, pipe Y is used for first half of the time, and both X and Y are used for the second half. How many minutes does it take to fill the tank?

 A

9 mins.

 B

10 mins.

 C

8 mins.

 D

11 mins.

Soln.
Ans: a

Let the time taken be x. Y is running for x mins, and X for x/2. So $(x/12 + x/{2 × 18})$ = 1. Solving for x, we get x = 9 mins.


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This Blog Post/Article "Pipes and Cisterns Quiz Set 013" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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