GRE Practice Question and Answer

Q: What can you hear but not touch or see? 2027 0

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Answer :
Explanation :

The sound is what can you hear but not touch or see.

Q: Find the greatest number that will divide 964, 1238 and 1400 leaving remainder of 41,31 and 51 respectively ? 2026 0

  • 1
    64
    Correct
    Wrong
  • 2
    69
    Correct
    Wrong
  • 3
    71
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 3. "71"
Explanation :

Answer: C) 71 Explanation: To find the greatest number which divides the numbers 964, 1238 and 1400 leaving the remainders 41, 31 and 51 is nothing but the HCF of (964 - 41), (1238 - 31), (1400 - 51). Therefore, HCF of 923, 1207 and 1349 is 71.

Q: Voiceless it cries, wingless flutters, toothless bites, mouth-less mutters. What is it? 2026 0

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Answer :
Explanation :

It is The Wind which cries without a voice, flutters without wings, bites toothless and mutters mouthless.

Q: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 2026 0

  • 1
    6
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

Q: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 2023 0

  • 1
    1:2:3
    Correct
    Wrong
  • 2
    3:2:4
    Correct
    Wrong
  • 3
    4:3:2
    Correct
    Wrong
  • 4
    2:3:4
    Correct
    Wrong
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Answer : 2. "3:2:4"
Explanation :

Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

Q: Bind it and it walks, Loose it and it stops. What is it? 2021 0

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Answer :
Explanation :

A Sandal. It has sticking strips to make them fit for our feet. If you bind them only you can start walking or other wise it comes out.

Q: Complete the missing Number Puzzle? 2020 0

  • 1
    40
    Correct
    Wrong
  • 2
    52
    Correct
    Wrong
  • 3
    89
    Correct
    Wrong
  • 4
    96
    Correct
    Wrong
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Answer : 4. "96"
Explanation :

Answer: D) 96 Explanation: Here in the given number puzzle, the given numbers follows a pattern that  1 + 4 = 5 => 1 x 4 + 1 = 4 + 1 = 5  2 + 5 = 12 => 2 x 5 + 2 = 10 + 2 = 12    3 + 6 = 21 => 3 x 6 + 3 = 18 + 3 = 21  Similarly,  8 + 11 = 96 => 8 x 11 + 8 = 88 + 8 = 96   Hence, the missing number in the given number puzzle is 96.

Q: What is the smallest number by which 2880 must be divided in order to make it into a perfect square ? 2020 0

  • 1
    2
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 4. "5"
Explanation :

Answer: D) 5 Explanation: By trial and error method, we get2880/3 = 960 is not a perfect square2880/4 = 720 is not a perfect square2880/5 = 576 which is perfect square of 24Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

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