# Aptitude - Pipes and Cistern

#### Why should I learn to solve Aptitude questions and answers section on "Pipes and Cistern"?

Learn and practise solving Aptitude questions and answers section on "Pipes and Cistern" to enhance your skills so that you can clear interviews, competitive examinations, and various entrance tests (CAT, GATE, GRE, MAT, bank exams, railway exams, etc.) with full confidence.

#### Where can I get the Aptitude questions and answers section on "Pipes and Cistern"?

IndiaBIX provides you with numerous Aptitude questions and answers based on "Pipes and Cistern" along with fully solved examples and detailed explanations that will be easy to understand.

#### Where can I get the Aptitude section on "Pipes and Cistern" MCQ-type interview questions and answers (objective type, multiple choice)?

Here you can find multiple-choice Aptitude questions and answers based on "Pipes and Cistern" for your placement interviews and competitive exams. Objective-type and true-or-false-type questions are given too.

#### How do I download the Aptitude questions and answers section on "Pipes and Cistern" in PDF format?

You can download the Aptitude quiz questions and answers section on "Pipes and Cistern" as PDF files or eBooks.

#### How do I solve Aptitude quiz problems based on "Pipes and Cistern"?

You can easily solve Aptitude quiz problems based on "Pipes and Cistern" by practising the given exercises, including shortcuts and tricks.

- Pipes and Cistern - Formulas
- Pipes and Cistern - General Questions
- Pipes and Cistern - Data Sufficiency 1
- Pipes and Cistern - Data Sufficiency 2

Part filled by (A + B + C) in 3 minutes = 3 | 1 | + | 1 | + | 1 | = | 3 x | 11 | = | 11 | . | ||||

30 | 20 | 10 | 60 | 20 |

Part filled by C in 3 minutes = | 3 | . |

10 |

Required ratio = | 3 | x | 20 | = | 6 | . | ||

10 | 11 | 11 |

Net part filled in 1 hour | 1 | + | 1 | - | 1 | = | 17 | . | ||

5 | 6 | 12 | 60 |

The tank will be full in | 60 | hours i.e., 3 |
9 | hours. |

17 | 17 |

Work done by the leak in 1 hour = | 1 | - | 3 | = | 1 | . | ||

2 | 7 | 14 |

Leak will empty the tank in 14 hrs.

Let B be turned off after *x* minutes. Then,

Part filled by (A + B) in *x* min. + Part filled by A in (30 -*x*) min. = 1.

x |
2 | + | 1 | + (30 - x). |
2 | = 1 | ||

75 | 45 | 75 |

11x |
+ | (60 -2x) |
= 1 | |

225 | 75 |

11*x* + 180 - 6*x* = 225.

*x* = 9.

Suppose, first pipe alone takes *x* hours to fill the tank .

Then, second and third pipes will take (*x* -5) and (*x* - 9) hours respectively to fill the tank.

1 | + | 1 | = | 1 | |

x |
(x - 5) |
(x - 9) |

x - 5 + x |
= | 1 | |

x(x - 5) |
(x - 9) |

(2*x* - 5)(*x* - 9) = *x*(*x* - 5)

*x*^{2} - 18*x* + 45 = 0

(*x* - 15)(*x* - 3) = 0

*x* = 15. [neglecting *x* = 3]