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GATE Questions

A) 1 | B) 1/2 |

C) 0 | D) 3/5 |

Explanation:

The number of exhaustive outcomes is 36.

Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2

P(E) = 1 - 1/2 = 1/2.

A) 910 | B) 1000 |

C) 970 | D) None of the above |

Explanation:

504/M = 384/800

(504 x 800) / 384 = M

M = 1050

A) A = 48000 B = 40000 C = 30000 | B) A = 30000 B = 40000 C = 48000 |

C) A = 30000 B = 48000 C = 40000 | D) A = 40000 B = 48000 C = 30000 |

Explanation:

Compound ratio of A:B:C

A:B = 3:4

B:C = 5:6

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A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

A) 20% p.a | B) 15% p.a |

C) 18% p.a | D) 24% p.a |

Explanation:

Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.

Rate of interest = (100 x 240) / (1200) = 20% p.a

A) ²²C₁₀ + 1 | B) ²²C₉ + ¹⁰C₁ |

C) ²²C₁₀ | D) ²²C₁₀ - 1 |

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.

The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way

The required number of ways = ²²C₁₀ - 1