CAT - Math (Quantitative) - Sample Questions : Quantitative Comparisons

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: 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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
    A
  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  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. Relationshop Indeterminate
    2. Quantity A equals Quantity B
    3. Quantity A is greater
    4. Quantity B is greater

    Ans : D

  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. 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

  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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

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