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There are five inlet pipes (A, B, C, D, and E) and five outlet pipes (P, Q, R, S, and T) connected to a tank. The first pie-chart represents the percentage of the tank filled by each inlet pipe when all the inlet pipes are opened together and the second pie-chart represents the percentage of the tank emptied by each outlet pipe when all the outlet pipes are opened together.

Total capacity of the tank = 1200 litres

Time taken to fill the tank when all the inlet pipes are opened together = 3 minutes

Time taken to empty the tank when all the outlet pipes are opened together = 2.4 minutes

Percentage of the tank emptied

Percentage of the tank filled

Percentage of the tank emptied

Important for :

1

D

Amount of water filled | Water filled per minute | Time taken to fill the tank alone(in minutes) | |

Pipe A | 20% of 1200 = 240 litres | 240/3 = 80 litres/minute | 1200/80 = 15 |

Pipe B | 15% of 1200 = 180 litres | 180/3 = 60 litres/minute | 1200/60 = 20 |

Pipe C | 25% of 1200 = 300 litres | 300/3 = 100 litres/minute | 1200/100 = 12 |

Pipe D | 10% of 1200 = 120 litres | 120/3 = 40 litres/minute | 1200/40 = 30 |

Pipe E | 30% of 1200 = 360 litres | 360/3 = 120 litre/minute | 1200/120 = 10 |

Amount of water emptied | Water emptied per minute | Time taken to empty the tank alone(in minutes) | |

Pipe P | 48% of 1200 = 576 litres | 576/2.4 = 240 litres/minute | 1200/240 = 5 |

Pipe Q | 30% of 1200 = 360 litres | 360/2.4 = 150 litres/minute | 1200/150 = 8 |

Pipe R | 8% of 1200 = 96 litres | 96/2.4 = 40 litres/minute | 1200/40 = 30 |

Pipe S | 4% of 1200 = 48 litres | 48/2.4 = 20 litres/minute | 1200/20 = 60 |

Pipe T | 10% of 1200 = 120 litres | 120/2.4 = 50 litres/minute | 1200/50 = 24 |

Reqd. time = | 1200 | = | 1200 | = 10 minutes |

80 + 60 + 40 – 40 – 20 | 120 |

Hence, option D is correct.

2

B

Amount of water filled | Water filled per minute | Time taken to fill the tank alone(in minutes) | |

Pipe A | 20% of 1200 = 240 litres | 240/3 = 80 litres/minute | 1200/80 = 15 |

Pipe B | 15% of 1200 = 180 litres | 180/3 = 60 litres/minute | 1200/60 = 20 |

Pipe C | 25% of 1200 = 300 litres | 300/3 = 100 litres/minute | 1200/100 = 12 |

Pipe D | 10% of 1200 = 120 litres | 120/3 = 40 litres/minute | 1200/40 = 30 |

Pipe E | 30% of 1200 = 360 litres | 360/3 = 120 litre/minute | 1200/120 = 10 |

Amount of water emptied | Water emptied per minute | Time taken to empty the tank alone(in minutes) | |

Pipe P | 48% of 1200 = 576 litres | 576/2.4 = 240 litres/minute | 1200/240 = 5 |

Pipe Q | 30% of 1200 = 360 litres | 360/2.4 = 150 litres/minute | 1200/150 = 8 |

Pipe R | 8% of 1200 = 96 litres | 96/2.4 = 40 litres/minute | 1200/40 = 30 |

Pipe S | 4% of 1200 = 48 litres | 48/2.4 = 20 litres/minute | 1200/20 = 60 |

Pipe T | 10% of 1200 = 120 litres | 120/2.4 = 50 litres/minute | 1200/50 = 24 |

Sum of the time taken by pipe C alone and time taken by pipe E alone to fill the tank = 12 + 10 = 22 minutes

Sum of the time taken by pipe Q alone and time taken by T alone to empty the tank = 8 + 24 = 32 minutes

Required ratio = 22 : 32 = 11 : 16

Hence, option B is correct.

Hence, option B is correct.

3

E

Amount of water filled | Water filled per minute | Time taken to fill the tank alone(in minutes) | |

Pipe A | 20% of 1200 = 240 litres | 240/3 = 80 litres/minute | 1200/80 = 15 |

Pipe B | 15% of 1200 = 180 litres | 180/3 = 60 litres/minute | 1200/60 = 20 |

Pipe C | 25% of 1200 = 300 litres | 300/3 = 100 litres/minute | 1200/100 = 12 |

Pipe D | 10% of 1200 = 120 litres | 120/3 = 40 litres/minute | 1200/40 = 30 |

Pipe E | 30% of 1200 = 360 litres | 360/3 = 120 litre/minute | 1200/120 = 10 |

Amount of water emptied | Water emptied per minute | Time taken to empty the tank alone(in minutes) | |

Pipe P | 48% of 1200 = 576 litres | 576/2.4 = 240 litres/minute | 1200/240 = 5 |

Pipe Q | 30% of 1200 = 360 litres | 360/2.4 = 150 litres/minute | 1200/150 = 8 |

Pipe R | 8% of 1200 = 96 litres | 96/2.4 = 40 litres/minute | 1200/40 = 30 |

Pipe S | 4% of 1200 = 48 litres | 48/2.4 = 20 litres/minute | 1200/20 = 60 |

Pipe T | 10% of 1200 = 120 litres | 120/2.4 = 50 litres/minute | 1200/50 = 24 |

Time taken by pipes B and C together to fill the tank

= | 1200 | = | 1200 | = 7.5 minutes |

60 + 100 | 160 |

Time taken by pipes A, D and E together to fill the tank

= | 1200 | = | 1200 | = 5 minutes |

80 + 40 + 120 | 240 |

So, pipes B and C together takes 2.5 minutes more than pipes A, D, and E together

Hence, option E is correct.

4

D

Amount of water filled | Water filled per minute | Time taken to fill the tank alone(in minutes) | |

Pipe A | 20% of 1200 = 240 litres | 240/3 = 80 litres/minute | 1200/80 = 15 |

Pipe B | 15% of 1200 = 180 litres | 180/3 = 60 litres/minute | 1200/60 = 20 |

Pipe C | 25% of 1200 = 300 litres | 300/3 = 100 litres/minute | 1200/100 = 12 |

Pipe D | 10% of 1200 = 120 litres | 120/3 = 40 litres/minute | 1200/40 = 30 |

Pipe E | 30% of 1200 = 360 litres | 360/3 = 120 litre/minute | 1200/120 = 10 |

Amount of water emptied | Water emptied per minute | Time taken to empty the tank alone(in minutes) | |

Pipe P | 48% of 1200 = 576 litres | 576/2.4 = 240 litres/minute | 1200/240 = 5 |

Pipe Q | 30% of 1200 = 360 litres | 360/2.4 = 150 litres/minute | 1200/150 = 8 |

Pipe R | 8% of 1200 = 96 litres | 96/2.4 = 40 litres/minute | 1200/40 = 30 |

Pipe S | 4% of 1200 = 48 litres | 48/2.4 = 20 litres/minute | 1200/20 = 60 |

Pipe T | 10% of 1200 = 120 litres | 120/2.4 = 50 litres/minute | 1200/50 = 24 |

The time taken by pipes P and R together to empty the tank

= | 1200 | = | 30 | minutes |

240 + 40 | 7 |

The time taken by pipes Q, S, and T together to empty the tank

= | 1200 | = | 60 | minutes |

150 + 20 + 50 | 11 |

Reqd. ratio = | 30 | : | 60 | = 11 : 14 |

7 | 11 |

Hence, option D is correct.

5

B

Amount of water filled | Water filled per minute | Time taken to fill the tank alone(in minutes) | |

Pipe A | 20% of 1200 = 240 litres | 240/3 = 80 litres/minute | 1200/80 = 15 |

Pipe B | 15% of 1200 = 180 litres | 180/3 = 60 litres/minute | 1200/60 = 20 |

Pipe C | 25% of 1200 = 300 litres | 300/3 = 100 litres/minute | 1200/100 = 12 |

Pipe D | 10% of 1200 = 120 litres | 120/3 = 40 litres/minute | 1200/40 = 30 |

Pipe E | 30% of 1200 = 360 litres | 360/3 = 120 litre/minute | 1200/120 = 10 |

Amount of water emptied | Water emptied per minute | Time taken to empty the tank alone(in minutes) | |

Pipe P | 48% of 1200 = 576 litres | 576/2.4 = 240 litres/minute | 1200/240 = 5 |

Pipe Q | 30% of 1200 = 360 litres | 360/2.4 = 150 litres/minute | 1200/150 = 8 |

Pipe R | 8% of 1200 = 96 litres | 96/2.4 = 40 litres/minute | 1200/40 = 30 |

Pipe S | 4% of 1200 = 48 litres | 48/2.4 = 20 litres/minute | 1200/20 = 60 |

Pipe T | 10% of 1200 = 120 litres | 120/2.4 = 50 litres/minute | 1200/50 = 24 |

Units of water emptied in one minute = (240 + 150 + 40 + 20 + 50) – (80 + 60 + 100 + 40 + 120) = 500 – 400 = 100 units

Reqd. time = | 1200 | = 12 minutes |

100 |

Hence, option B is correct.

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