GRE Practice Question and Answer

Q: Statements : All keys are locks. All locks are bangles. All bangles are cars. Conclusion : a. Some cars are locks.                    b. Some bangles are keys.                    c. Some cars are keys. 2178 0

  • 1
    Only a follows
    Correct
    Wrong
  • 2
    Only c follows
    Correct
    Wrong
  • 3
    Only a & b follows
    Correct
    Wrong
  • 4
    a, b & c follows
    Correct
    Wrong
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Answer : 4. "a, b & c follows"
Explanation :

Answer: D) a, b & c follows Explanation: All locks are bangles + All bangles are cars = A + A = A= All locks are cars => Some cars are locks.Hence conclusion (a) follows.All keys are locks + All locks are bangles = A + A = A= All keys are bangles => some bangles are keys.Hence conclusion (b) follows.All keys are bangles + All bangles are cars = A + A = A= All keys are cars => Some cars are keys.Hence conclusion (C) follows. Thus all a, b and c follows.

Q: Only if Sheela is happy, then she does not go to work. 2176 0

  • 1
    Sheela is not happy and she goes to work.
    Correct
    Wrong
  • 2
    Sheela is happy and she does not go to work
    Correct
    Wrong
  • 3
    Sheela is not happy and she does not go to work.
    Correct
    Wrong
  • 4
    Sheela is happy and she goes to work.
    Correct
    Wrong
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Answer : 1. "Sheela is not happy and she goes to work."
Explanation :

Answer: A) Sheela is not happy and she goes to work. Explanation: The event of "Sheela is not going to work" happens only when the event "Sheela is happy" happens. Also, if the event "Sheela is happy" does not happen, then the event "Sheela is not going to work" will not happen. In other words, if it is true that Sheela is not happy, then it means that Sheela is going to work.

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Answer :
Explanation :

One grandfather, One father and One son makes two fathers and two sons.

Q: A box contains 90 screws each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg, then the weight of the empty box is ? 2171 0

  • 1
    10.5 kgs
    Correct
    Wrong
  • 2
    12 kgs
    Correct
    Wrong
  • 3
    9.6 kgs
    Correct
    Wrong
  • 4
    11.5 kgs
    Correct
    Wrong
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Answer : 4. "11.5 kgs"
Explanation :

Answer: D) 11.5 kgs Explanation: Screws weight = 90x100 = 9000gmsbolts weight = 100 x 150 = 15000gmsweight = screws + bolts => 24000 gms =>24 kgGiven entire box weight = 35.5kgempty box = entire box weight - weight => 35.5kg - 24kg => 11.5kgso the empty box is 11.5kg.

Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2163 1

  • 1
    42.2 mts
    Correct
    Wrong
  • 2
    33.45 mts
    Correct
    Wrong
  • 3
    66.6 mts
    Correct
    Wrong
  • 4
    58.78 mts
    Correct
    Wrong
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Answer : 3. "66.6 mts"
Explanation :

Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.

Q: If selling price is doubled, the profit triples. Find the profit percent ? 2155 0

  • 1
    100%
    Correct
    Wrong
  • 2
    200%
    Correct
    Wrong
  • 3
    300%
    Correct
    Wrong
  • 4
    400%
    Correct
    Wrong
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Answer : 1. "100%"
Explanation :

Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%

Q: Which fraction comes next in the sequence 23, 13, 527, 781, ? 2154 0

  • 1
    1/27
    Correct
    Wrong
  • 2
    11/278
    Correct
    Wrong
  • 3
    9/48
    Correct
    Wrong
  • 4
    7/123
    Correct
    Wrong
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Answer : 1. "1/27"
Explanation :

Answer: A) 1/27 Explanation: Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...Then, the next term in the given sequence is  935 = 9243 = 127 .

Q: Find out the wrong term in the given series of numbers ?6, 15, 35, 77, 165, 221 2151 0

  • 1
    35
    Correct
    Wrong
  • 2
    165
    Correct
    Wrong
  • 3
    221
    Correct
    Wrong
  • 4
    77
    Correct
    Wrong
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Answer : 2. "165"
Explanation :

Answer: B) 165 Explanation: The given series follow the rule that : Multiplying consecutive prime numbers2,3,5,7,11,13,17,19....2x3 = 63x5 = 155x7 = 357x11 = 7711x13 = 14313x17 = 221So, the wrong term is 165.

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