GRE Sample Questions : Quantitative Comparisons

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        Quantitative Section : Quantitative Comparision

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. 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
   2. 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
   3. 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
   4. A < C
      B > 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
   5. 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
   6.

      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
   7.

      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
   8. 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
   9. 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
  10. 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 < 10
      11 < -y < 20

      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

[sharmila banu.m]

               1.

      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
   2. 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
   3. 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
   4. 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
   5. 100 < y < 200 and 100 < z < 210

      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
   6. 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
   7. yz < 0

      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
   8. 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
   9. 2 < z < 4

      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
  10. 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