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GATE Questions

A) 42 | B) 36 |

C) 48 | D) 24 |

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

A) 48min | B) 72min |

C) 24min | D) None of these |

Explanation:

Given taps X and Y can fill the tank in 30 and 40 minutes respectively. Therefore,

part filled by tap X in 1 minute = 1/30

part filled by tap Y in 1 minute = 1/40

Tap Z can empty the tank in 60 minutes. Therefore,

part emptied by tap Z in 1 minute = 1/60

Net part filled by Pipes X,Y,Z together in 1 minute = [1/30 +1/40 - 1/60] = 5/120 = 1/24

i.e., the tank can be filled in 24 minutes.

A) 123 | B) 231 |

C) 312 | D) 321 |

Explanation:

No. of people who read Hindu = 285

No. of people who read TOI = 127

No. of people who read IE = 212

Now,

No. of people who read Hindu and TOI both is = 20

No. of people who read TOI and IE both is = 35

No. of people who read Hindu and IE both is = 29

Let No. of people who read Hindu , TOI and IE all is = x ;

So, only Hindu is = 285-20-29-x = 236-x ;

Only TOI is = 127-20-35-x = 72-x ;

Only IE is = 212-35-29-x = 148-x ;

Now, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500

So, x = 45 this is the value who read all the 3 dailies.

So, No. of people who read only one paper is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321.

A) 8 | B) 9 |

C) 2 | D) 4 |

Explanation:

According to the question, after the position of the first and third digit interchanged new numbers are

789, 415, 856, 784, 404, 962

962, 856, 789, 784, 404, 415

Here the second lowest number is 404 and the last digit of it is '4'.

A) 6:31 | B) 11:30 |

C) 7:30 | D) 31:6 |

Explanation:

Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.

M.P. = (6/5) S.P.

Since the percentage discount = Percentage profit,

$\frac{{\displaystyle \frac{\mathbf{6}}{\mathbf{5}}\mathbf{S}\mathbf{.}\mathbf{P}\mathbf{}\mathbf{-}\mathbf{}\mathbf{S}\mathbf{.}\mathbf{P}}}{{\displaystyle \frac{\mathbf{6}}{\mathbf{5}}\mathbf{S}\mathbf{.}\mathbf{P}}}\mathbf{\times}\mathbf{100}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{S}\mathbf{.}\mathbf{P}\mathbf{}\mathbf{-}\mathbf{C}\mathbf{.}\mathbf{P}}{\mathbf{C}\mathbf{.}\mathbf{P}}\mathbf{\times}\mathbf{100}$

Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.P

M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P

Therefore, Ratio of discount to C.P

= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]

= 7/30

Therefore, the ratio is 7 : 30

A) 85.78 % | B) 58. 48 % |

C) 19.25 % | D) 14.285 % |

Explanation:

Total Items = 7

Discounted = 1

Percentage = 1/7 x 100

= 14.285%

A) 10 : 27 : 41 AM | B) 8 : 51 : 04 AM |

C) 9 : 45 : 15 PM | D) 10 : 23 : 20 PM |

Explanation:

The watch gains 5 seconds in 3 minutes = 100 seconds in 1 hour.

From 8 AM to 10 PM on the same day, time passed is 14 hours.

In 14 hours, the watch would have gained 1400 seconds or 23 minutes 20 seconds.

So, when the correct time is 10 PM, the watch would show 10 : 23 : 20 PM

A) Wednesday | B) Tuesday |

C) Friday | D) Thursday |

Explanation:

The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 24th Nov, 2007 will be 1 day beyond the day on 24th Nov, 2006.

But, 24th Nov, 2007 is Thursday.

24 - 10 = 14 days.

Therefore, 2 weeks ago it is same day.

Thus, 10th Nov, 2006 is one day before 10th Nov, 2007 i.e. it is Wednesday.