GATE Practice Question and Answer

Q: Which continent has the least countries? 2302 0

  • 1
    Africa
    Correct
    Wrong
  • 2
    South America
    Correct
    Wrong
  • 3
    Antarctica
    Correct
    Wrong
  • 4
    Europe
    Correct
    Wrong
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Answer : 3. "Antarctica"
Explanation :

Answer: C) Antarctica Explanation: Africa - 54 countries South America - 12 countries Antarctica - 0 countries Europe - 43 countries.   Hence, Antarctica continent has the least countries.

Q: 45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ? 2302 0

  • 1
    36
    Correct
    Wrong
  • 2
    61
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    54
    Correct
    Wrong
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Answer : 1. "36"
Explanation :

Answer: A) 36 Explanation: (45 x 9)/40 = (M x 7)/56 => M = 81 => 81 – 45 = 36

Q: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ? 2300 0

  • 1
    11
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    13
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Here the number of cogs is inveresly proportional to number of revolutions => More cogs less revolution=> 6 : 14 :: x : 21=> (21x6)/14 = 9

Q: There are 15 lines in plane. How many intersections (Maximum) can be made ? 2297 0

  • 1
    55
    Correct
    Wrong
  • 2
    105
    Correct
    Wrong
  • 3
    215
    Correct
    Wrong
  • 4
    148
    Correct
    Wrong
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Answer : 2. "105"
Explanation :

Answer: B) 105 Explanation: First line will cut all other 14, similarly second will cut 13, and so onTotal = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

Q: Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ? 2294 0

  • 1
    43929
    Correct
    Wrong
  • 2
    59049
    Correct
    Wrong
  • 3
    15120
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "43929"
Explanation :

Answer: A) 43929 Explanation: Number of words with 5 letters from given 9 alphabets formed = 95   Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5   Number of words can be formed which have at least one letter repeated =  95 - 9P5   = 59049 - 15120   = 43929

Q: Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers ? 2294 0

  • 1
    11 & 17
    Correct
    Wrong
  • 2
    7 & 17
    Correct
    Wrong
  • 3
    9 & 21
    Correct
    Wrong
  • 4
    13 & 23
    Correct
    Wrong
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Answer : 3. "9 & 21"
Explanation :

Answer: C) 9 & 21 Explanation: Let the two numbers be x and y Given x : y = 3 : 7 .....(1) Now, x+6 : y+6 = 5 : 9 .....(2) From (1), x = 3y/7 From (2), 5y - 9x = 24 => 5y - 9(3y/7) = 24 => y = 21 => From(1), x = 9 Hence, the two numbers be 9 and 21

Q: Which of the following is not an intensive property? 2294 0

  • 1
    Weight
    Correct
    Wrong
  • 2
    Density
    Correct
    Wrong
  • 3
    Refractive index
    Correct
    Wrong
  • 4
    Melting point
    Correct
    Wrong
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Answer : 1. "Weight"
Explanation :

Answer: A) Weight Explanation: An intensive property is a physical quantity whose value does not depend on the amount of the substance for which it is measured. For example, the temperature of a system in thermal equilibrium is the same as the temperature of any part of it. If the system is divided the temperature of each subsystem is identical. The same applies to the density of a homogeneous system, if the system is divided in half, the mass and the volume change in the identical ratio and the density remains unchanged. Additionally, the boiling point of a substance is another example of an intensive property. For example, the boiling point for water is 100 °C at a pressure of one atmosphere, a fact which remains true regardless of quantity.

Q: Find the next number in the given number series? 11, 5.5, 10, 6.5, 9, ? 2294 0

  • 1
    6.5
    Correct
    Wrong
  • 2
    7.5
    Correct
    Wrong
  • 3
    8.5
    Correct
    Wrong
  • 4
    10.5
    Correct
    Wrong
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Answer : 2. "7.5"
Explanation :

Answer: B) 7.5 Explanation: The given number series follows a pattern that 11 11 - 5.5 = 5.5 5.5 + 4.5 = 10 10 - 3.5 = 6.5 6.5 + 2.5 = 9 9 - 1.5 = 7.5   Hence, the next number in the given number series is 7.5.

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