Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

Tap M can fill a cistern in 17 mins. And, a tap N can empty it in 15 mins. In how many minutes will the cistern be emptied if both the taps are opened together when the tank is $11/14$^{th} already empty?

**A**

$27{9/28}$ mins.

**B**

$29{10/27}$ mins.

**C**

$24{17/30}$ mins.

**D**

$28{3/10}$ mins.

**Soln.**

**Ans: a**

1 filled cistern can be emptied in ${17 × 15}/{17 - 15}$ mins. So $1 - 11/14$ = $3/14$ filled cistern can be emptied in ${17 × 15}/{17 - 15}$ × $3/14$ = ${765/28}$, which is same as: $27{9/28}$ mins.

### Question 2

A tank is (5/9)^{th} filled with water. When 9 liters of water are added, it becomes (2/3)^{th} filled. What is the capacity of the tank?

### Question 3

One tap can fill a tank 4 times faster than the other. If they together fill it in 7 minutes, how much time does the slower alone take to fill the tank?

### Question 4

A tank is filled in 16 minutes by three taps running together. Times taken by the three taps independently are in an AP[Arithmetic Progression], whose first term is a and common difference d. Then, a and d satisfy the relation?

**A**

a^{3} - 48a^{2} - ad^{2} + 16d^{2} = 0.

**B**

a^{3} - 32a^{2} + ad^{2} + 16d^{2} = 0.

**C**

a^{3} - 16a^{2} - ad^{2} + 16d^{2} = 0.

**D**

a^{3} - 80a^{2} + ad^{2} + 16d^{2} = 0.

**Soln.**

**Ans: a**

Let the times taken by the three taps be a - d, a and a + d. Then 16 minutes work of all the taps should add to 1. So we have, $16 × 1/{a - d} + 16 × 1/a + 16 × 1/{a + d}$ = 1, which is same as a^{3} - 48a^{2} - ad^{2} + 16d^{2} = 0.

### Question 5

Tap X can fill the tank in 19 mins. Tap Y can empty it in 6 mins. In how many minutes will the tank be emptied if both the taps are opened together when the tank is $13/17$^{th} full of water?

### More Chapters | See All...

Data Sufficiency | Alphabet Number Series | Areas | Partnerships | Venn Diagrams | Clocks and Calendars | Direction Sense Test | HCF and LCM | Pipes and Cisterns | Paper Folding | More...

This Blog Post/Article "Pipes and Cisterns Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.