GRE Sample Questions

Quantitative Section : Quantitative Comparision

Given below are two different quantities with some or no relation between them. A student has to identify it and determine the relation accordingly.

21. Quantity 1: (-6)⁸
    Quantity 2: (-4) ²
    1. Quantity 1 is greater than Quantity 2
    2. Quantity 2 is greater than Quantity 1
    3. Both the quantities are equal
    4. There is no relationship between the two quantities

    Ans : A

    Explanation:
    (-6) ⁸ = -48 while (-4) ²= -16,
    Therefore (a) is the right answer

22. In triangle PQR, PQ is 3 cm, PR is (13) ^1/2cm and QR is 2 cm.
    1: angle PQR is 60^°
    2: angle PRQ is x
    1. 1 is greater than 2
    2. 2 is greater than 1
    3. 1 and 2 are equal
    4. There is no relation between 1 and 2

    Ans : B

    Explanation:
    Using Pythagoras theorem, measure of angle PRQ comes to 90^°.
    Therefore (b) is the right answer.

23. Sum of 4 consecutive numbers is 16
    A: 4
    B: they are average
    1. There is no relation between A and B
    2. A and B are equal
    3. B is greater than A
    4. A is greater than B

    Ans : B

    Explanation:
    The average of a set of numbers can be found out by dividing the sum total by the number of numbers. Hence irrespective of the individual numbers their average is always going to be 4

24. a² + b² = (12) ² and ab = 27
    Quantity 1: a² + 2ab+ b²
    Quantity 2: (a + b) ²
    1. Quantity 2 is greater than quantity 1
    2. There is no relation between both the quantities
    3. Quantity 1 is equal to quantity 2
    4. Quantity 1 is greater than quantity 2

    Ans : C

    Explanation:
    (a + b) ² = a² + 2ab+ b²,
    Therefore option (c) is the right answer

25. Quantity 1 = (x + 3) ³
    Quantity 2 = (x – 3) ³
    1. Quantity 1 is greater than quantity 2
    2. Quantity 2 is greater than quantity 1
    3. Both the quantities are equal
    4. No relation between the 2 quantities

    Ans : D

    Explanation:
    In case of quantity 1, addition is done; while in case of quantity 2, subtraction is done, therefore no relation.

26. a < 2 and b > 2
    Quantity 1: ba
    Quantity 2: ab
    1. Both the quantities are equal
    2. 1 is less than 2
    3. 2 is less than 1
    4. No relation

    Ans : A

    Explanation:
    ab = ba, therefore (a) is the right answer.

27. 10 > a < 30, while 22 > b < 56
    Quantity 1: a
    Quantity 2: b
    1. Value of quantity 2 is more than value of quantity 1
    2. Value of quantity 1 is more than value of quantity 2
    3. Values of both quantity 1 and 2 are equal
    4. There is no relation between the 2 quantities

    Ans : D

    Explanation:
    As quantity 1 can be any number between 10 and 30, and quantity 2 can be any number between 22 and 56, option (d) is the right answer

28. x is a negative integer
    5/10 = x/y
    Quantity 1: x/y
    Quantity 2: 2
    1. Quantity 2 is less than quantity 1
    2. Quantity 1 is less than quantity 2
    3. Quantity 1 is equal to quantity 2
    4. No relation

    Ans : D

    Explanation:
    5/10 = x/y
    1/2 = x/y
    Therefore there is no relation between 1 and 2

29. Quantity A: (1/50^1/2 + (1/1082)^1/2
    Quantity B: (1/50) + (1/32)
    1. Quantity A is smaller than quantity B
    2. There is no relation between both the quantities
    3. Quantity B is smaller than quantity A
    4. Quantity A = quantity B

    Ans : B

    Explanation:
    Quantity A is the square roots of both the quantities and then division, where as quantity B is just division, hence no relation.

30. a + b = 12
    Quantity 1: 12
    Quantity 2: a – b
    1. Quantity 1 is equal to quantity 2
    2. Quantity 2 is greater than quantity 1
    3. No relation
    4. Quantity 1 is greater than quantity 2

    Ans : C

    Explanation:
    As quantity 1 is 12 = a + b and quantity 2 is a – b, option (c) is the right answer