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GATE Questions

A) 62.5 % | B) 125 % |

C) 84.32 % | D) 46.87 % |

Explanation:

Let total population = p

number of females = 5p/9

number of males =(p-5p/9) = 4p/9

married females = 30% of 5p/9 = 30x5p/100x9 = p/6

married males = p/6

unmarried males =(4p/9-p/6) = 5p/18

Percentage of unmarried males in the total males = {(5p/18)/4p/9}x100 = (5p/18)x(9/4p) = 125/2 % = 62.5%

A) 5 degrees | B) 10 degrees |

C) 15 degrees | D) 25 degrees |

Explanation:

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

Required angle = distance of hour hand = speed × time = × 20 =10 degrees.

A) 32 | B) 40 |

C) 16 | D) 30 |

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P.

S.P. of P articles = Rs. 40.

Profit = Rs. (40 - P)

Now, Gain% =

Here = 25

(40-P)100 = 25P

4000 - 100P = 25P

125P = 4000

P = 4000/125

P = 32.

A) 15 | B) 20 |

C) 5 | D) 10 |

Explanation:

Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5.

So, there is one way of doing it.

Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place.

The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.

Required number of numbers = (1 5 4) = 20.

A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 | B) Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840 |

C) Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840 | D) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940 |

Explanation:

Initial investment of Ram = Rs.2500.

After 2 months he withdraw Rs.1250 from his capital.

Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

And, Rakesh invested Rs.3500 for 3 months;

Their investing ratio:

Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)

= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

Total profit for 6 months = Rs.2540

Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800

Raj's share = Rs.(2540 x 45/127) = Rs.900

Rakesh's share = Rs.(2540 x 42/127) = Rs.840