Practice GRE Quantitative Reasoning Questions

1. If x⁴ = 16, then 4^x =

A: 2
B: 4
C: 8
D: 12
E: 16

2. Arnold has enough gas to last him for thirty days. If he starts using 50% more gas, how many days will the same supply last him?

A: 10
B: 12
C: 15
D: 20
E: 25

3. If 2x > 24 and 3x < 48, which of the following is a possible value for x?

A: 12
B: 14
C: 16
D: 18
E: 20

4. Dan drives to Cheryl's house at an average speed of 40 mph. If he can drive 2/3 of the way there in an hour, how far away is Cheryl's house?

A: 60 miles
B: 20 miles
C: 80 miles
D: 50 miles
E: 55 miles

5. |-5| + |3| - |-5| =

A: -2
B: -13
C: 8
D: 3
E: 2

6. If a cube has a volume of 343 cubic inches, what is the length of one side?

A: 7 square inches
B: 30 square inches
C: 7 inches
D: 49 inches
E: 49 square inches

7. If 3x - 6 = 14 - x, then x =

A: 5
B: 3
C: 4
D: 8
E: 10

8. Factor: a² -3a - 18

A: (a - 3)(a - 9)
B: (a - 2)(a - 9)
C: (a + 3)(a + 6)
D: (a + 2)(a + 9)
E: (a - 6)(a + 3)

9. There are ten teams in a basketball league. During the season, each team plays the others five times. How many games are played in the basketball league in total?

A: 45
B: 85
C: 125
D: 225
E: 450

10. If a = 2, then 3a + (a³)² =

A: 73
B: 70
C: 7
D: 12
E: 27

11.

A: The quantity in Column A is greater.
B: The quantity in Column B is greater.
C: The two quantities are equal.
D: The relationship cannot be determined from the information given.

12. Blanche drives for x amount of time at a speed of 45 miles per hour.

A: The quantity in Column A is greater.
B: The quantity in Column B is greater.
C: The two quantities are equal.
D: The relationship cannot be determined from the information given.

13.

A: The quantity in Column A is greater.
B: The quantity in Column B is greater.
C: The two quantities are equal.
D: The relationship cannot be determined from the information given.

14. In the two-digit number xy, x has a value twice as great as y.

A: The quantity in Column A is greater.
B: The quantity in Column B is greater.
C: The two quantities are equal.
D: The relationship cannot be determined from the information given.

15. There are fifteen marbles in a jar: 3 red, 7 blue, and 5 green. One marble is drawn at random.

A: The quantity in Column A is greater.
B: The quantity in Column B is greater.
C: The two quantities are equal.
D: The relationship cannot be determined from the information given.

GRE Quantitative Answer Key