GRE Sample Questions

Quantitative Section : Quantitative Comparision

In this section there are two quantities. You need to determine the relation between the two quantities.

51. a < 3 and b > 3
    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 correct answer.

52. Quantity 1: (-9)⁸
    Quantity 2: (-9)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:
    (-9) ⁸ = -72 while (-9) ²= -81,
    Therefore (a) is the right answer

53. a² + b² = (14) 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

54. 11 > a < 35, while 25 > b < 55
    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

55. Quantity A: (1/30)^1/2 + (1/1089) ^1/2
    Quantity B: (1/55) + (1/35)
    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 root followed by division, where as quantity B is just division, hence no relation.

56. a + b = 20
    Quantity 1: 20
    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 20 = a + b and quantity 2 is a – b, option (c) is the right answer

57. x is a negative integer
    5/20 = 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:
    5/20 = x/y
    1/2 = x/y
    Therefore there is no relation between 1 and 2

58. Both Tom and David started from the same point and covered a distance of 150 miles. Tom is driving at the speed of 50 miles per hour, while David is driving at the speed of 45 miles per hour. Determine who reached first.
    1. Tom came first
    2. Both reached at the same time
    3. Mike reached first
    4. No relation

    Ans : C

    Explanation:
    Tom is driving at the speed of 50 miles per hour so he reaches in 4 hours, while David is driving at a speed of 45 miles per hour, so he reaches in 2.5 hours; hence (c) is the correct answer

59. Quantity 1: (-5) ⁸
    Quantity 2: (-5) 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:
    (-5) ⁸ = -40 while (-5) ²= -25,
    Therefore (a) is the right answer

60. Quantity 1: 7/126
    Quantity 2: 0.35/9
    1. Quantity 1 is greater than Quantity 2
    2. Quantity 2 is greater than Quantity 1
    3. There is no relation between both the quantities
    4. Both the quantities are equal

    Ans : B

    Explanation:
    7/126 = 0.05; 0.35/9 = 0.38
    Therefore (b) is the answer