A) Quantity 1 > Quantity 2 | B) Quantity 1 ≥ Quantity 2 |

C) Quantity 1 < Quantity 2 | D) Quantity 1 ≤ Quantity 2 |

Explanation:

Quantity 1:

Let the first pipe alone takes x hours to fill the

tank.

⇒The second and third pipes will take (x-5) and

(x-9) hours respectively.

According to the given information:

∴ $\frac{1}{x-9}$

⇒ (x-9)(2x-5) = x2 – 5x

⇒ 2x2 – 5x – 18x + 45 = x2 – 5x

⇒ x

2 -18x + 45 = 0

⇒ (x-15) (x-3) = 0

⇒ x = 15, 3

The first pipe can take 15 hours to fill the kund.

∵ 3 hours doesn’t satisfy the statement.

Quantity 2:

∴ Time taken by second pipe = x-5

⇒ Time taken by second pipe = 15-5 = 10hours

∴ Time taken by third pipe = x -9

⇒ Time taken by third pipe = 15- 9 = 6 hours

Now,

Net part filled in 1 hour = $\frac{1}{15}+\frac{1}{10}+\frac{1}{6}$

⇒ Net part filled in 1 hour = $\frac{4+6+10}{60}$

⇒Net part filled in 1 hour = $\frac{20}{60}=\frac{1}{3}$

∴The Kund will be full in 3/1 hours if all the pipes are opened simultaneously

Now, comparing

15 > 3

Thus, Quantity 1 > quantity 2

A) 13x3 + 92x2 - 55x + 4 | B) 13x3 - 92x2 - 55x - 4 |

C) 13x3 + 92x2 + 55x - 4 | D) 13x3 - 92x2 + 55x + 4 |

A) 253.17 cubic cms | B) 228.84 cubic cms |

C) 143.26 cubic cms | D) 257.68 cubic cms |

A) (2,4) | B) (-2,-4) |

C) (2,-4) | D) (-2,4) |

A) increased in the ratio 55:63 | B) decreased in the ratio 63:55 |

C) increased in the ratio 45:77 | D) decreased in the ratio 77:45 |