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GATE Questions

A) 193 : 122 | B) 97 : 102 |

C) 115 : 201 | D) 147 : 185 |

Explanation:

Given the three mixtures ratio as (1:2),(2:3),(3:4)

(1+2),(2+3),(3+4)

Total content = 3,5,7

Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105

105/3 = 35 , 105/5 = 21 , 105/7 = 15

Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)

i.e (35,70), (42,63), (45,60)

So overall mixture ratio of milk and water is

35+42+45 : 70+63+60

122:193

But in the question asked the ratio of water to milk = 193 : 122

A) All frustrated people are drug addicts | B) Frustrated people are whimsical |

C) All drug addicts are artists | D) Some artists may be drug addicts |

A) Saturday | B) Sunday |

C) Friday | D) Monday |

Explanation:

We know that,

After every 400 years, the same day occurs.

Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.

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%

A) Saturday | B) Friday |

C) Sunday | D) Monday |

Explanation:

350 days, 350/7 = 50, no odd days,

so it will be a Saturday.

A) 450 | B) 600 |

C) 300 | D) 100 |

Explanation:

Passing marks are 0.6x

so 0.3x + 30 = 0.6x => x = 100

A) Tuesday | B) Monday |

C) Wednesday | D) Sunday |

Explanation:

Dates on which Tuesday fall are 3,10,17, and 24

Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday

Required day of the month = Friday - 4 = Monday

A) 27 | B) 24 |

C) 21 | D) 42 |

Explanation:

Let the numbers be 3x, 3x + 3 and 3x + 6.

Then,

3x + (3x + 3) + (3x + 6) = 72

9x = 63

x = 7

Largest number = 3x + 6 = 27.

=> Second largest number = 27 - 3 = 24