Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A tank is filled in $1{1/3}$ minutes by three taps running together. Times taken by the three taps to independently fill the tank are in an AP[Arithmetic Progression]. If the first tap is a leakage tap and the second tap takes 1 minute to fill the tank, then, the common difference of the AP can be?

**A**

3.

**B**

4.

**C**

2.

**D**

5.

**Soln.**

**Ans: a**

Let the times taken by the three taps be 1 - d, 1 and 1 + d. The time taken by the first tap will be negative because it is a leakage tap. Then ${4/3}$ minutes work of all the taps should add to 1. So we have, ${4/3}$ × $(1/{1 - d} + 1/1 + 1/{1 + d})$ = 1, which is same as $2/{1 - d^2} + 1$ = ${3/4}$. Solving we get d = ±3.

### Question 2

A city tanker is filled by two large pipes, X and Y, together in 42 and 28 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?

### Question 3

Tap M can fill a cistern in 16 mins. And, a tap N can empty it in 11 mins. In how many minutes will the cistern be emptied if both the taps are opened together when the tank is $7/15$^{th} already empty?

**A**

$18{58/75}$ mins.

**B**

$20{3/74}$ mins.

**C**

$17{24/77}$ mins.

**D**

$21{16/77}$ mins.

**Soln.**

**Ans: a**

1 filled cistern can be emptied in ${16 × 11}/{16 - 11}$ mins. So $1 - 7/15$ = $8/15$ filled cistern can be emptied in ${16 × 11}/{16 - 11}$ × $8/15$ = ${1408/75}$, which is same as: $18{58/75}$ mins.

### Question 4

A bucket can be filled by a tap in 5 minutes. Another tap on the same bucket can empty it in 10 mins. How long will it take to fill the bucket if both the taps are opened together?

### Question 5

What is the volume of the tank in liters if it measures 9m × 6m × 9m?

### More Chapters | See All...

Alligations and Mixtures | Probability | Blood Relations | Essential Part | Boats and Streams | Percentages | Pipes and Cisterns | Statements and Assumptions | Cubes and Dice | Logarithms | More...

This Blog Post/Article "Pipes and Cisterns Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-14.