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

## Friday, December 28, 2007

### GRE Sample Questions of Math (Quantitative)

Posted by Nitu at 3:51 AM

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