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41. The correct answer is (C). Any number raised to the power of 0 equals 1. 42. The correct answer is (B). To solve: Set the equation equal to 0: 5 is great than either of the two possible answers. 43.The correct answer is (A). To solve, find the fifth and sixth terms in the sequence:The difference between the sixth and the fifth terms is 44. The correct answer is (C). The two quantities are equal. To find the volume of a sphere, use the formula volume = = 113.04 cubic centimeters 45. The correct answer is (B). To find the volume of a cylinder, use the formula and insert the information given in the problem. volume =
Copyright 2009 GREPrepInfo.com 73 46. The correct answer is (E). There is no way to know how many students scored between 60 and 65 on the test, so the total cannot be determined. 47. The correct answer is (C). The average of the list of numbers is the same as the average of 16 and 68. 48. The correct answer is (D). To solve, use this ratio: 49.The correct answer is (A). First, convert hours to minutes: 33 hours x 60 = 1980 minutes. Then divide the minutes by the number of steps: 23760 steps/1980 minutes = 12 steps/minute 50. The correct answer is (C). First, subtract 8 from both sides of the equation. Divide both sides by -4: Change inequality sign: 51. The correct answer is (A). │y –6 │<10 so so so
Copyright 2009 GREPrepInfo.com 74 52. The correct answer is (E). The circumference of a circle can be calculated using the following formula: 10π = 2πr5 = r Then, take the radius and calculate the area of the circle using the following formula: 25π53. The correct answer is (A). Slope is found by calculating the change in y over the change in x: = -6/3 = -2 54. The correct answer is (E). Imagine that the price of corn was originally $100. In year one, the price rose 20%: . In year two, the price rose 15%: . Since the original price was $100 and the final price was $138, we can see that the price rose by 38% during the past two years. 55. The correct answer is (A). To solve, recall that a number raised to the one-half power is the same as the square root of the number (and a number raised to the one-third power is the same as the cube root of that number). The square root of 16 is 4. The cube root of x is . Add these together to get the correct response. 56. The correct answer is (C). To solve, ensure that like variables are in the same place and then compare the two equations: Divide both sides of the equation by 2:57.The correct answer is (C). To solve, substitute 0 for x and solve:
Copyright 2009 GREPrepInfo.com 75 + 2 58. The correct answer is (E). The diagram shows that exterior angle EF = 150°. Since this angle lies on a straight line, angle DFE must equal 30°. We can see that this is a right triangle, and now we know that it is a 30-60-90 right triangle. With this information and our knowledge of right triangles, we know that the ratio of sides is 1:: 2. Side DE is half of the hypotenuse, DF. Since we know that DE is 9, the hypotenuse, DF must be 18.