GRE Sample Questions of Math (Quantitative)

GRE Sample Questions of Math (Quantitative)
GRE Sample Questions of Math (Quantitative) Filed under: GRE
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.

A. If the quantity in column A is greater than the quantity in column B.

B. If the quantity in column B is greater than the quantity in column A.

C. If the quantities are equal.

D. If the comparison cannot be determined from the information that is given.

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

A. if the quantity A is greater;
B. if the quantity B is greater;
C. if the two quantities are equal;
D. 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

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

Ans : C

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

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

Ans : A

4. r/>s/>0/>

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

A. if the quantity A is greater;
B. if the quantity B is greater;
C. if the two quantities are equal;
D. if the relationship cannot be determined from the information given.

Ans : B

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

A. Quantity B is greater
B. Relationship Indeterminate
C. Quantity A is greater
D. Quantity A equals Quantity B

Ans : A

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

Quantity A: s
Quantity B:7

A. if the quantity in Column A is greater;
B. if the quantity in Column B is greater;
C. if the two quantities are equal;
D. 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

A. if the quantity in Column A is greater;
B. if the quantity in Column B is greater;
C. if the two quantities are equal;
D. 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*

A. if the quantity in Column A is greater;
B. if the quantity in Column B is greater;
C. if the two quantities are equal;
D. 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)

A. if the quantity in Column A is greater;
B. if the quantity in Column B is greater;
C. if the two quantities are equal;
D. 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)

A. Quantity A is greater
B. Quantity A equals Quantity B
C. Relationship Indeterminate
D. Quantity B is greater

Ans : A

11. Consider a triangle PQR.

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

A. Quantity A is greater
B. Quantity B is greater
C. Relationship Indeterminate
D. Quantity A equals Quantity B

Ans : A

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

A. Quantity B is greater
B. Quantity A equals Quantity B
C. Relationship Indeterminate
D. Quantity A is greater

Ans : D

13. Quantity A: A = 1.1
Quantity B: 12.11/2

A. Relationship Indeterminate
B. Quantity B is greater
C. Quantity A equals Quantity B
D. Quantity A is greater

Ans : B

14. 100 is greater then is greater then 200 and 100 is greater then z is greater then 210

Quantity A: y
Quantity B: z

A. Quantity A is greater
B. Quantity A equals Quantity B
C. Quantity B is greater
D. Relationship Indeterminate

Ans : D

15. y2 + z2 = 34 and yz = 15

Quantity A: y2 + 2yz + z2
Quantity B: (y + z)2

A. Quantity B is greater
B. Relationship Indeterminate
C. Quantity A is greater
D. Quantity A equals Quantity B

Ans : D

16. p > 0 > q

Quantity A: p + q
Quantity B: pq

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

Ans : D

17. Quantity A: The average (arithmetic mean) of x and y
Quantity B: The average (arithmetic mean) of x - 1 and y + 1

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

Ans : C

Image no.1

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

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

A.Quantity B is greater
B.Quantity A equals Quantity B
C.Relationship Indeterminate
D. Quantity A is greater

Ans : A

Image no.2

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

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

A. Quantity B is greater
B. Relationship Indeterminate
C. Quantity A is greater
D. Quantity A equals Quantity B

Ans : A

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

Quantity A: 0.2x
Quantity B: y

A. Quantity A is greater
B. Quantity B is greater
C. Relationship Indeterminate
D. Quantity A equals Quantity B

Ans : A

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

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

A. Relationship Indeterminate
B. Quantity A equals Quantity B
C. Quantity A is greater
D. Quantity B is greater

Ans : D

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

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

A. Quantity A is greater
B. Quantity A equals Quantity B
C. Quantity B is greater
D. Relationship Indeterminate

Ans : C

23.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

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

Ans : B

24. A < C
B > D > 0

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

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

Ans : B

25. 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

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

Ans : C

Image no.3

26. 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

A. Relationship Indeterminate
B. Quantity A is greater
C. Quantity B is greater
D. Quantity A equals Quantity B

Ans : D

Image no. 4

27. 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

A. Relationship Indeterminate
B. Quantity A is greater
C. Quantity A equals Quantity B
D. Quantity B is greater

Ans : A

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

Quantity A: Their average
Quantity B: 6

A. Relationship Indeterminate
B. Quantity A is greater
C. Quantity A equals Quantity B
D. Quantity B is greater

Ans : C

29.x - y > 10

Quantity A: y - x
Quantity B: 12

A. Quantity B is greater
B. Quantity A is greater
C. Quantity A equals Quantity B
D. Relationship Indeterminate

Ans : A

30. x = 0, y > 0

Quantity A: xy
Quantity B: yx

A. Quantity A equals Quantity B
B. Quantity A is greater
C. Quantity B is greater
D. Relationship Indeterminate

Ans : C

Image no.5

31. 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

A. Relationship Indeterminate
B. Quantity A equals Quantity B
C. Quantity B is greater
D. Quantity A is greater

Ans : B

Image no.6

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

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

A. Quantity A equals Quantity B
B. Quantity B is greater
C. Relationship Indeterminate
D. Quantity A is greater

Ans : A

Image no.7

33. 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

A. Quantity B is greater
B. Quantity A equals Quantity B
C. Quantity A is greater
D. Relationship Indeterminate

Ans : B

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

Quantity A: 0.2x
Quantity B: y

A. Quantity B is greater
B. Relationship Indeterminate
C. Quantity A equals Quantity B
D. Quantity A is greater

Ans : D

35. Quantity A: 29
Quantity B: 92

A. Quantity B is greater
B. Quantity A is greater
C. Relationship Indeterminate
D. Quantity A equals Quantity B

Ans : B

36. 0 < -x < 10
11 < -y < 20

Quantity B: y

A. Relationship Indeterminate
B. Quantity A equals Quantity B
C. Quantity B is greater
D. Quantity A is greater

Ans : D

Image no.8

37. 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

A. Quantity A is greater
B. Quantity A equals Quantity B
C. Quantity B is greater
D. Relationship Indeterminate

Ans : B

38. y2 = 36

Quantity A: y
Quantity B: 6

A. Relationship Indeterminate
B. Quantity A is greater
C. Quantity B is greater
D. Quantity A equals Quantity B

Ans : A

Image no.9

39. 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: 180o

A. Relationship Indeterminate
B. Quantity A is greater
C. Quantity B is greater
D. Quantity A equals Quantity B

Ans : D

Image no.10

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

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

A. Relationship Indeterminate
B. Quantity A is greater
C. Quantity A equals Quantity B
D. Quantity B is greater

Ans : C

Image no.11

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

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

A. Quantity B is greater
B. Quantity A is greater
C. Quantity A equals Quantity B
D. Relationship Indeterminate

Ans : C

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

A. Quantity B is greater
B. Relationship Indeterminate
C. Quantity A equals Quantity B
D. Quantity A is greater

Ans : B

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

A. Relationship Indeterminate
B. Quantity A is greater
C. Quantity B is greater
D. Quantity A equals Quantity B

Ans : A

44. y2 + z2 = 34 and yz = 15

Quantity A: y2 + 2yz + z2
Quantity B: (y + z)2

A. Quantity A is greater
B. Relationship Indeterminate
C. Quantity A equals Quantity B
D. Quantity B is greater

Ans : C

45. 100 < y < 200 and 100 < z < 210

Quantity A: y
Quantity B: z

A. Quantity A is greater
B. Quantity A equals Quantity B
C. Quantity B is greater
D. Relationship Indeterminate

Ans : D

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

A. Quantity A equals Quantity B
B. Quantity A is greater
C. Relationship Indeterminate
D. Quantity B is greater

Ans : C

47. yz < 0

Quantity A: (y - z)2
Quantity B: y2 + z2

A. Quantity A is greater
B. Quantity B is greater
C. Quantity A equals Quantity B
D. Relationship Indeterminate

Ans : A

48. 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!

A. Quantity A is greater
B. Quantity B is greater
C. Quantity A equals Quantity B
D. Relationship Indeterminate

Ans : A

49. 2 < z < 4

Quantity A: π2z3
Quantity B: π3z2

A. Quantity A is greater
B. Quantity B is greater
C. Quantity A equals Quantity B
D. Relationship Indeterminate

Ans : D

50. 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

A. Quantity A is greater
B. Quantity B is greater
C. Quantity A equals Quantity B
D. Relationship Indeterminate

Ans : A

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

A. Quantity A is greater
B. Quantity A equals Quantity B
C. Quantity B is greater
D. Relationship Indeterminate

Ans : C

52. Quantity A: (9/13)2
Quantity B: (9/13)1/2

A. Quantity A equals Quantity B
B. Relationship Indeterminate
C. Quantity B is greater
D. Quantity A is greater

Ans : C

53. Quantity A: 4 / 100
Quantity B: 0.012 / 3

A. Quantity B is greater
B. Quantity A equals Quantity B
C. Quantity A is greater
D. Relationship Indeterminate

Ans : C

54. x = 2y + 3
y = -2

Quantity A: x
Quantity B: -1

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

Ans : C

55. x + 2y > 8

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

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

Ans : D