GRE Math Question #4

Posted on May 4, 2010 by GRE Tutor

31-45 Directions: Each of the questions31 -40 consists of two quantities, one in Column A and one in Column B. There may be additional information, centered above the two columns, that concerns one or both of the quantities. A symbol that appears in both columns represents the same thing in Column A as it does in Column B. You are to compare the quantity in Column A with the quantity in Column B and decide whether:

• (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.

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Column A Column B

31. 2⁴ 4²

Answer C

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32. 2x + y > 10

4y + 2y 40

Answer D

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33. The area of a square is 25

The perimeter of the square 100

Answer B

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34. 3 – (1/9 ) (8/3) + (1/9)

Answer A

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35. The number of hours in 3 days The number of months in 6 years

Answer C

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36. 0.12 0.02 + 0.10

Answer C

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37. a, b and c are the values of three sides of a triangle.

a + b c

Answer A

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38. 0 > a > b

ab (ab)⁰

Answer D

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39. The average (arithmetic mean) The average (arithmetic mean)

of 60, 85 and 79 of 59, 88 and 77

Answer C

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40. 3 is x percent of 12 and y is 25 percent of 92

Answer A

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41. 3x + 7 = 16 and 14 – y = 9

12x 8y

Answer B

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42. The lowest prime number 2

Answer B

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43. x = -5

5 –x x -5

Answer A

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44.

The area of a rectangular region The area of a circular region with sides of lengths 9 and 3.1 with redius 3

Answer B

45. 4x² + 4y² (2x +2y)²

Answer D

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46. Two persons working 2 hours a day assemble 2 machines assemble 2 machines in 2 days. The number of machines assembled by 6 persons working 6 hours a day in 6 days is

1. 6

2. 18

3. 27

4. 54

5. 108

Answer D

47. Incomes of X, Y, Z are in the ratio 7:9:12 and their respective expenditures are in the ratio 8:9:15. If A saves one-fourth of his income, then ratio of their savings is

1. 56:99:69

2. 33:19:23

3. 15:28:27

4. 56:69:99

5. 21:27:36

Answer A

48. The number of digits in 4⁹ x 5¹⁷ , when expressed in usual form, is

1. 16

2. 17

3. 18

4. 19

5. 26

Answer C

49. Suppose 4^a = 5, 5 ^b= 6, 6 ^c= 7, 7 ^d =8, the value of abcd is

1. 1

2. 1.5

3. 2

4. 2.5

5. 3

Answer B

50. One- third of a certain journey was covered at the speed of 20 km/ hour, one-fourth at 30 km/hour and the rest at the speed of 50 km/hour. The average speed/hour for the whole journey is

1. 40

2. 30

3. 28

4. 25

5. 33.33

Answer B