GRE Sample Questions : Quantitative Comparisons

Directions:

In this section you will be given two quantities, one in column A and one in column B. You are to determine a relationship between the two quantities and mark.

  1. If the quantity in column A is greater than the quantity in column B.
  2. If the quantity in column B is greater than the quantity in column A.
  3. If the quantities are equal.
  4. If the comparison cannot be determined from the information that is given.

  1. Quantity A: (-6) 4
    Quantity B: (-6) 5

    1. if the quantity A is greater;
    2. if the quantity B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given.

    Ans : A

  2. Quantity A: The number of months in 7 years
    Quantity B: The number of days in 12 weeks

    1. if the quantity in Column A is greater;
    2. if the quantity in Column B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given

    Ans : C

  3. Quantity A: 1-1/27
    Quantity B: 8/9 + 1/81

    1. if the quantity in is greater;
    2. if the quantity in is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given.

    Ans : A

  4. r/>s/>0/>

    Quantity A: rs/r
    Quantity B: rs/s

    1. if the quantity A is greater;
    2. if the quantity B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given.

    Ans : B

  5. Quantity A: 0.83
    Quantity B: 0.81/3

    1. Quantity B is greater
    2. Relationship Indeterminate
    3. Quantity A is greater
    4. Quantity A equals Quantity B

    Ans : A

  6. t is a positive integer.
    4/7 = t/s

    Quantity A: s
    Quantity B: 7

    1. if the quantity in Column A is greater;
    2. if the quantity in Column B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given

    Ans : D

  7. Quantity A: (0.82) 2 (0.82) 3
    Quantity B: (0.82) 6

    1. if the quantity in Column A is greater;
    2. if the quantity in Column B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given.

    Ans : A

  8. For all real numbers a, let a * = 1 - a.

    Quantity A: ((-1) * ) *
    Quantity B: 2 *

    1. if the quantity in Column A is greater;
    2. if the quantity in Column B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given.

    Ans : C

  9. Quantity A: (x - 1)(x)(x + 1)
    Quantity B: (x)(x)(x)

    1. if the quantity in Column A is greater;
    2. if the quantity in Column B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given.

    Ans : D

  10. Quantity A: (3 x 4 x 17) / (121 x 100)
    Quantity B: (4 x 5 x 19) / (1000 x 121)

    1. Quantity A is greater
    2. Quantity A equals Quantity B
    3. Relationship Indeterminate
    4. Quantity B is greater

    Ans : A

  1. Consider a triangle PQR.

    Quantity A: length of PQ + length of QR
    Quantity B: length of PR

    1. Quantity A is greater
    2. Quantity B is greater
    3. Relationship Indeterminate
    4. Quantity A equals Quantity B

    Ans : A

  2. Quantity A: (27 - 13) (296 + 534)
    Quantity B: (27 + 13) (534 + 296)

    1. Quantity B is greater
    2. Quantity A equals Quantity B
    3. Relationship Indeterminate
    4. Quantity A is greater

    Ans : D

  3. Quantity A: A = 1.1
    Quantity B: 12.1 1/2

    1. Relationship Indeterminate
    2. Quantity B is greater
    3. Quantity A equals Quantity B
    4. Quantity A is greater

    Ans : B

  4. 100 <>Quantity A: y
    Quantity B: z

    1. Quantity A is greater
    2. Quantity A equals Quantity B
    3. Quantity B is greater
    4. Relationship Indeterminate

    Ans : D

  5. y 2 + z 2 = 34 and yz = 15

    Quantity A: y 2 + 2yz + z 2
    Quantity B: (y + z) 2

    1. Quantity B is greater
    2. Relationship Indeterminate
    3. Quantity A is greater
    4. Quantity A equals Quantity B

    Ans : D

  6. p > 0 > q

    Quantity A: p + q
    Quantity B: pq

    1. The quantity in Column A is greater.
    2. The quantity in Column B is greater.
    3. The quantities are equal.
    4. The relationship cannot be determined from the information given.

    Ans : D

  7. Quantity A: The average (arithmetic mean) of x and y
    Quantity B: The average (arithmetic mean) of x - 1 and y + 1
    1. The quantity in Column A is greater.
    2. The quantity in Column B is greater.
    3. The quantities are equal.
    4. The relationship cannot be determined from the information given.

    Ans : C

  8. Diagram is illustrative and is not drawn to scale.
    In triangle ABC, AB = AC and measure of angle 1 = 100 o .

    Quantity A: Measure of angle 2 + Measure of angle 3
    Quantity B: 90 o

    1. Quantity B is greater
    2. Quantity A equals Quantity B
    3. Relationship Indeterminate
    4. Quantity A is greater

    Ans : A

  9. Diagram is illustrative and is not drawn to scale.
    In triangle ABC, AB = AC and measure of angle 1 = 100 o .

    Quantity A: Measure of angle 2 + Measure of angle 3
    Quantity B: 90 o

    1. Quantity B is greater
    2. Relationship Indeterminate
    3. Quantity A is greater
    4. Quantity A equals Quantity B

    Ans : A

  10. x and y are both positive and x/y > 5

    Quantity A: 0.2x
    Quantity B: y

    1. Quantity A is greater
    2. Quantity B is greater
    3. Relationship Indeterminate
    4. Quantity A equals Quantity B

    Ans : A

  11. Consider a rectangle. The length of its shorter side is 8, and the length of its diagonal is 16.

    Quantity A: 30 o
    Quantity B: measure of angle formed by diagonal and shorter side

    1. Relationship Indeterminate
    2. Quantity A equals Quantity B
    3. Quantity A is greater
    4. Quantity B is greater

    Ans : D

  12. Consider a rectangle. The length of its shorter side is 8, and the length of its diagonal is 16.

    Quantity A: 30 o
    Quantity B: measure of angle formed by diagonal and shorter side

    1. Quantity A is greater
    2. Quantity A equals Quantity B
    3. Quantity B is greater
    4. Relationship Indeterminate

    Ans : C

  13. The integer (x - 1) is a prime number between 40 and 50.

    Quantity A: The sum of all different prime factors of x
    Quantity B: 14

    1. The quantity in Column A is greater.
    2. The quantity in Column B is greater.
    3. The quantities are equal.
    4. The relationship cannot be determined from the information given.

    Ans : B

  14. A <> D > 0

    Quantity A: A - B
    Quantity B: C - D

    1. The quantity in Column A is greater.
    2. The quantity in Column B is greater.
    3. The quantities are equal.
    4. The relationship cannot be determined from the information given.

    Ans : B

  15. In a particular jellybean jar, the number of red jellybeans exceeds the number of white ones by a ratio of 3:2. If two red jellybeans were removed, the ratio of red to white jellybeans would be 1:1.

    Quantity A: The number of white jellybeans in the jar
    Quantity B: 4

    1. The quantity in Column A is greater.
    2. The quantity in Column B is greater.
    3. The quantities are equal.
    4. The relationship cannot be determined from the information given.

    Ans : C

  16. Diagram is illustrative and is not drawn to scale.
    AB is the diameter of the circle.

    Quantity A: Measure of angle 1
    Quantity B: Measure of angle 2

    1. Relationship Indeterminate
    2. Quantity A is greater
    3. Quantity B is greater
    4. Quantity A equals Quantity B

    Ans : D

  17. Diagram is illustrative and is not drawn to scale.

    Quantity A: Measure of angle 1 + Measure of angle 3
    Quantity B: Measure of angle 2 + Measure of angle 4

    1. Relationship Indeterminate
    2. Quantity A is greater
    3. Quantity A equals Quantity B
    4. Quantity B is greater

    Ans : A

  18. The sum of three consecutive even numbers is 18.

    Quantity A: Their average
    Quantity B: 6

    1. Relationship Indeterminate
    2. Quantity A is greater
    3. Quantity A equals Quantity B
    4. Quantity B is greater

    Ans : C

  19. x - y > 10

    Quantity A: y - x
    Quantity B: 12

    1. Quantity B is greater
    2. Quantity A is greater
    3. Quantity A equals Quantity B
    4. Relationship Indeterminate

    Ans : A

  20. x = 0, y > 0

    Quantity A: xy
    Quantity B: yx

    1. Quantity A equals Quantity B
    2. Quantity A is greater
    3. Quantity B is greater
    4. Relationship Indeterminate

    Ans : C

  1. Diagram is illustrative and is not drawn to scale.

    Quantity A: Measure of angle 3 - Measure of angle 2
    Quantity B: Measure of angle 5 - Measure of angle 6

    1. Relationship Indeterminate
    2. Quantity A equals Quantity B
    3. Quantity B is greater
    4. Quantity A is greater

    Ans : B

  2. Diagram is illustrative and is not drawn to scale.
    Given AB = AC and angle BAC = 60 o

    Quantity A: Length of side AB
    Quantity B: Length of side BC

    1. Quantity A equals Quantity B
    2. Quantity B is greater
    3. Relationship Indeterminate
    4. Quantity A is greater

    Ans : A

  3. Diagram is illustrative and is not drawn to scale.
    Given angles 1 and 2 are equal,
    length of side AB = x, length of side BC = y, length of side AC = z.

    Quantity A: x + y
    Quantity B: y + z

    1. Quantity B is greater
    2. Quantity A equals Quantity B
    3. Quantity A is greater
    4. Relationship Indeterminate

    Ans : B

  4. x and y are both positive and x/y > 5

    Quantity A: 0.2x
    Quantity B: y

    1. Quantity B is greater
    2. Relationship Indeterminate
    3. Quantity A equals Quantity B
    4. Quantity A is greater

    Ans : D

  5. Quantity A: 2 9
    Quantity B: 9 2
    1. Quantity B is greater
    2. Quantity A is greater
    3. Relationship Indeterminate
    4. Quantity A equals Quantity B

    Ans : B

  6. 0 < -x <>Quantity A: x
    Quantity B: y
    1. Relationship Indeterminate
    2. Quantity A equals Quantity B
    3. Quantity B is greater
    4. Quantity A is greater

    Ans : D

  7. Diagram is illustrative and is not drawn to scale.
    Given angles 1 and 2 are equal,
    length of side AB = x, length of side BC = y, length of side AC = z.

    Quantity A: x + y
    Quantity B: y + z

    1. Quantity A is greater
    2. Quantity A equals Quantity B
    3. Quantity B is greater
    4. Relationship Indeterminate

    Ans : B

  8. y 2 = 36

    Quantity A: y
    Quantity B: 6

    1. Relationship Indeterminate
    2. Quantity A is greater
    3. Quantity B is greater
    4. Quantity A equals Quantity B

    Ans : A

  9. Diagram is illustrative and is not drawn to scale.

    Quantity A: Measure of angle 1 + Measure of angle 2 + Measure of angle 4
    Quantity B: 180 o

    1. Relationship Indeterminate
    2. Quantity A is greater
    3. Quantity B is greater
    4. Quantity A equals Quantity B

    Ans : D

  10. Diagram is illustrative and is not drawn to scale.
    In triangle ABC, angle A = 60 o and AB = AC.

    Quantity A: Measure of angle 1 + Measure of angle 2
    Quantity B: 120 o

    1. Relationship Indeterminate
    2. Quantity A is greater
    3. Quantity A equals Quantity B
    4. Quantity B is greater

    Ans : C

  11. Diagram is illustrative and is not drawn to scale.

    Quantity A: Measure of angle 2 + Measure of angle 3
    Quantity B: 180 o

    1. Quantity B is greater
    2. Quantity A is greater
    3. Quantity A equals Quantity B
    4. Relationship Indeterminate

    Ans : C

  12. Quantity A: (y + 5) 2
    Quantity B: (y - 5) 2

    1. Quantity B is greater
    2. Relationship Indeterminate
    3. Quantity A equals Quantity B
    4. Quantity A is greater

    Ans : B

  13. Quantity A: (1/25) 1/2 + (1/144) 1/2
    Quantity B: [(1/25) + (1/144)] 1/2

    1. Relationship Indeterminate
    2. Quantity A is greater
    3. Quantity B is greater
    4. Quantity A equals Quantity B

    Ans : A

  14. y2 + z2 = 34 and yz = 15

    Quantity A: y 2 + 2yz + z 2
    Quantity B: (y + z) 2

    1. Quantity A is greater
    2. Relationship Indeterminate
    3. Quantity A equals Quantity B
    4. Quantity B is greater

    Ans : C

  15. 100 <>Quantity A: y
    Quantity B: z

    1. Quantity A is greater
    2. Quantity A equals Quantity B
    3. Quantity B is greater
    4. Relationship Indeterminate

    Ans : D

  16. Quantity A: (y + 5) 2
    Quantity B: (y - 5) 2

    1. Quantity A equals Quantity B
    2. Quantity A is greater
    3. Relationship Indeterminate
    4. Quantity B is greater

    Ans : C

  17. yz <>Quantity A: (y - z) 2
    Quantity B: y 2 + z 2
    1. Quantity A is greater
    2. Quantity B is greater
    3. Quantity A equals Quantity B
    4. Relationship Indeterminate

    Ans : A

  18. For any positive integer n,
    n! is the product of all positive integers less than or equal to n.

    Quantity A: 20! / 17!
    Quantity B: 80! / 78!

    1. Quantity A is greater
    2. Quantity B is greater
    3. Quantity A equals Quantity B
    4. Relationship Indeterminate

    Ans : A

  19. 2 <>Quantity A: p 2 z 3
    Quantity B: p 3 z 2
    1. Quantity A is greater
    2. Quantity B is greater
    3. Quantity A equals Quantity B
    4. Relationship Indeterminate

    Ans : D

  20. Amy, Beth and Charlie divided a pizza amongst themselves.
    Amy took 30% of the pizza and ate (3/4) of what she took.
    Beth took 20% of the pizza.
    Charlie ate (2/5) of what he took.

    Quantity A: The amount Amy ate
    Quantity B: The amount Charlie ate

    1. Quantity A is greater
    2. Quantity B is greater
    3. Quantity A equals Quantity B
    4. Relationship Indeterminate

    Ans : A

  • Quantity A: Time to travel 95 miles at 50 miles per hour
    Quantity B: Time to travel 125 miles at 60 miles per hour

    1. Quantity A is greater
    2. Quantity A equals Quantity B
    3. Quantity B is greater
    4. Relationship Indeterminate

    Ans : C

  • Quantity A: (9/13) 2
    Quantity B: (9/13) 1/2

    1. Quantity A equals Quantity B
    2. Relationship Indeterminate
    3. Quantity B is greater
    4. Quantity A is greater

    Ans : C

  • Quantity A: 4 / 100
    Quantity B: 0.012 / 3

    1. Quantity B is greater
    2. Quantity A equals Quantity B
    3. Quantity A is greater
    4. Relationship Indeterminate

    Ans : C

  • x = 2y + 3
    y = -2

    Quantity A: x
    Quantity B: -1

    1. if the quantity in Column A is greater;
    2. if the quantity in Column B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given

    Ans : C

  • x + 2y > 8

    Quantity A: 2x + 4y
    Quantity B: 20

    1. if the quantity in Column A is greater;
    2. if the quantity in Column B is greater;
    3. if the two quantities are equal;
    4. if the relationship cannot be determined from the information given.

    Ans : D


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