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GATE Questions

A) Mahinder | B) Mahindra |

C) Mohinder | D) Mahender |

Explanation:

The given names will be arranged in the alphabetical order as : Mahender, Mahendra, Mahinder, Mahindra, Mohinder. Clearly, 'Mohinder' comes last.

A) Father = 50; Son =14 | B) Father = 40; Son =24 |

C) Father = 60; Son =4 | D) Father = 48; Son =16 |

Explanation:

Let the present age of the man be 'P' and son be 'Q',

Given, P + Q = 64 or Q = (64 - P)

Now the man says "I am five times as old as you were, when I was as old as you are",

So, P = 5[B - (P - Q)]

We get 6P = 10Q,

Substitute value for Q,

6P = 10(64 - P),

Therefore P = 40, Q = 24.

A) 14 | B) 16 |

C) 18 | D) 20 |

Explanation:

Let the third proportion to 9 & 12 be 'x'.

=> 9:12 = 12 :p

=> p = 12x12/9 = 16.

A) 4400 | B) 3100 |

C) 2800 | D) 5600 |

Explanation:

Let 'P' be the original population at the beginning

P x (95/100) x (85/100) = 3553

P = 4400.

A) 100% | B) 200% |

C) 300% | D) 400% |

Explanation:

Let the C.P be Rs.100 and S.P be Rs.x, Then

The profit is (x-100)

Now the S.P is doubled, then the new S.P is 2x

New profit is (2x-100)

Now as per the given condition;

=> 3(x-100) = 2x-100

By solving, we get

x = 200

Then the Profit percent = (200-100)/100 = 100

Hence the profit percentage is 100%