GRE Practice Question and Answer

Q: If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ? 3545 0

  • 1
    75 min
    Correct
    Wrong
  • 2
    82 min
    Correct
    Wrong
  • 3
    90 min
    Correct
    Wrong
  • 4
    101 min
    Correct
    Wrong
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Answer : 3. "90 min"
Explanation :

Answer: C) 90 min Explanation: Let X = Time taken for each of Type B Problems(100 Problems)And 2X = Time taken for each of Type A problems(50 problems) Total time period = 3hrs = 3 x 60min = 180 minutes 100X + 50(2X) = 180100X + 100X = 180200X = 180 min X = 180/200X = 0.90 min By convertiing into seconds, X = 0.90 x 60 secondsX = 54 sec So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds= 5400/60sec = 90 minutes.

Q: Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ? 3535 0

  • 1
    7 : 12
    Correct
    Wrong
  • 2
    8 : 13
    Correct
    Wrong
  • 3
    9 : 4
    Correct
    Wrong
  • 4
    2 : 5
    Correct
    Wrong
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Answer : 2. "8 : 13"
Explanation :

Answer: B) 8 : 13 Explanation: To get the solution that contains 1 part of milk and two parts of water,they must be mixed in the ratio as7x+6x/5y+11y = 1/226x = 16yx/y = 16/26x/y = 8/13

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Answer : 4. "E = 4 & Y = 2"
Explanation :

Answer: D) E = 4 & Y = 2 Explanation: Let the the age of the elder boy = E   Let the the age of the younger boy = Y   Given that Y = cube root of EY   => Y3 = EY => E = Y2 .....(1)By the condition of number replacement the age of the father is YE   The Mother's age = EY/2   But she is 3 years less than father => EY/2 + 3 = YE2YE = EY + 6 ......(2)   Then now from the given options we can identify which satisfies the all the conditions.   Here Y =2 and E = 4 satisfies all the conditions.

Q: The number of ways in which 8 distinct toys can be distributed among 5 children? 3475 0

  • 1
    5P8
    Correct
    Wrong
  • 2
    5^8
    Correct
    Wrong
  • 3
    8P5
    Correct
    Wrong
  • 4
    8^5
    Correct
    Wrong
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Answer : 2. "5^8"
Explanation :

Answer: B) 5^8 Explanation: As the toys are distinct and not identical, For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.   Hence, it is 58 and not 85.

Q: Find the missing number in the given series ? 15, 51, 216, 1100, ?, 46452 3473 0

  • 1
    5660
    Correct
    Wrong
  • 2
    6560
    Correct
    Wrong
  • 3
    6750
    Correct
    Wrong
  • 4
    6630
    Correct
    Wrong
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Answer : 4. "6630"
Explanation :

Answer: D) 6630 Explanation: Let first no. be "k" and multiple be "l"...start value of y with 3then,[(k x y) + {l x (l-1)}]Thus, we get 15 x 3 + 3 x 2 = 5151 x 4 + 4 x 3 = 216216 x 5 + 5 x 4 = 11001100 x 6 + 6 x 5 = 66306630 x 7 + 7 x 6 = 46452 Therefore, the missing number is 6630.

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Answer :
Explanation :

1. Answer (2) G 2. Answer (1) BE All other pairs are in same class. 3. Answer (3) ADF in class 9. 4. Answer (4) Linc pen.

Q: At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ? 3425 0

  • 1
    66 sec
    Correct
    Wrong
  • 2
    55 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    24 sec
    Correct
    Wrong
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Answer : 1. "66 sec"
Explanation :

Answer: A) 66 sec Explanation: For ticking 6 times, there are 5 intervals. Each interval has time duration of 30/5 = 6 secs At 12 o'clock, there are 11 intervals,so total time for 11 intervals = 11 x 6 = 66 secs.

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Answer : 2. "Rs.17,500"
Explanation :

Answer: B) Rs.17,500 Explanation: Let’s assume John bought the laptop for Rs. 100He then sells it to Mark at a loss of 20% => Rs. 80,Who consequently sells it to Kevin at a profit of 25% =>  Rs. 100Then, Kevin sells it back to Mark for Rs. 90 (Rs.4.50 for every Rs. 5 that he had paid initially), so he suffers a loss of Rs. 10Therefore, for Rs. 100 there is a loss of Rs. 10,Then for Rs. 1,75,000 there will be a loss of Rs. 17,500.

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