GATE Practice Question and Answer

Q: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ? 2363 0

  • 1
    300
    Correct
    Wrong
  • 2
    150
    Correct
    Wrong
  • 3
    175
    Correct
    Wrong
  • 4
    200
    Correct
    Wrong
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Answer : 2. "150"
Explanation :

Answer: B) 150 Explanation: Half of the cloth = 37.5/2 From 1 meter he will make 8 pieces=> in 37.5/2 ---- ? 37.5/2 x 8 = 150.

Q: The sum of three consecutive multiples of 3 is 72. What is the second largest number ? 2358 0

  • 1
    27
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    21
    Correct
    Wrong
  • 4
    42
    Correct
    Wrong
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Answer : 2. "24"
Explanation :

Answer: B) 24 Explanation: Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27. => Second largest number = 27 - 3 = 24

Q: If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ? 2355 0

  • 1
    31/25
    Correct
    Wrong
  • 2
    15/17
    Correct
    Wrong
  • 3
    14/25
    Correct
    Wrong
  • 4
    11/16
    Correct
    Wrong
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Answer : 2. "15/17"
Explanation :

Answer: B) 15/17 Explanation: The original fraction is  2551 × 350+100150+100  = 15/17.

Q: Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of rajeev? 2355 0

  • 1
    12
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    22
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 4. "10"
Explanation :

Answer: D) 10 Explanation: Let Rajeev's present age be  x years. Rajeev's age after 15 years = (x + 15) years. Rajeev's age 5 years back = (x - 5) years Then ATQ,  x + 15 = 5 (x - 5) x + 15 = 5x - 25 => x = 10   Hence, Rajeev's present age = x = 10 years.

Q: Find the Missing number in the given number series? 5, 9, 15, 23, ?, 45 2352 0

  • 1
    33
    Correct
    Wrong
  • 2
    29
    Correct
    Wrong
  • 3
    31
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 1. "33"
Explanation :

Answer: A) 33 Explanation: The given series follows a pattern that, +4, +6, +8, +10, +12... 5 5 + 4 = 9 9 + 6 = 15 15 + 8 = 23 23 + 10 = 33 33 + 12 = 45   Hence, the missing number in the series is 33.

Q: Find the missing number in the following Series ? 18, 97, 26, 91, ? , 83 2352 0

  • 1
    32
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    30
    Correct
    Wrong
  • 4
    34
    Correct
    Wrong
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Answer : 4. "34"
Explanation :

Answer: D) 34 Explanation: The given series follows the pattern that, 18, 97, 26, 91, ?, 83 => 18 + 8 = 26 => 97 - 8 = 91 => 26 + 8 = 34 => 91 - 8 = 83 Hence, the missing number is 34.

Q: K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ? 2347 0

  • 1
    12 pm
    Correct
    Wrong
  • 2
    1 pm
    Correct
    Wrong
  • 3
    11 am
    Correct
    Wrong
  • 4
    11:30 am
    Correct
    Wrong
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Answer : 1. "12 pm"
Explanation :

Answer: A) 12 pm Explanation: let 't' be the time after which they met since L starts. Given K is 50% faster than L 50 t + 1.5*50(t-1) = 300 50 t +75 t = 300 + 75 t = 375 / 125 = 3 hrs past the time that L starts So they meet at (9 + 3)hrs = 12:00 noon.

Q: What comes next in this sequence 196, 169, 144, 121, 100, 81, ? 2346 0

  • 1
    77
    Correct
    Wrong
  • 2
    74
    Correct
    Wrong
  • 3
    67
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 4. "64"
Explanation :

Answer: D) 64 Explanation: The given number series follows a pattern that 196, 169, 144, 121, 100, 81, ?     -27  -25   -23   -21  -19  -17   => 81 - 17 = 64 Therefore, the series is 196, 169, 144, 121, 100, 81, 64.

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