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501 Quantitative comparability Questions is helping organize scholars for key educational flair tests-including the PSAT/NMSQT, the SAT, and the GRE-which function a quantitative comparability part in the math element of the examination. 501 Quantitative comparability Questions is designed to assist scholars arrange for this really good math part, mastery of that's crucial for attractiveness to fascinating colleges and jobs. via finishing the workouts during this ebook, scholars can bring up their math wisdom and achieve familiarity with really good questions had to ranking excessive. The e-book beneficial properties whole solutions, every one with a whole rationalization

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59. b. ͙4 ෆ = 2, so ͙5 ෆ > 2. 60. a. ͙17 ෆ > 4 and ͙5 ෆ > 2, therefore, ͙17 ෆ + ͙5 ෆ > 6. Since ͙25 ෆ = 5, ෆ < 5. Quantity A is greater. ͙22 a b a 4 9 36 36 61. a. ᎏbᎏ × ᎏcᎏ = ᎏcᎏ and ᎏ5ᎏ × ᎏ7ᎏ = ᎏ35ᎏ; ᎏ35ᎏ > 1. 3 3 62. b. 75. 75% to a decimal, move the decimal point two places to the left. 75. 63. b. The only pair of numbers that adds to 12 and is prime is 7 and 5. Therefore, x and y are 5 and 7; xy = (5)(7) = 35. 35 < 38. 64. a. For any positive numbers a and b, a + b > b − a. Therefore, (a + b)(a + b) > (b − a)(b − a).

The quantity 25, in column B, is greater. 127. a. Since the variable a is a positive integer, both choices are positive, and a10 > a7. These are fractions with the same numerator. When two fractions are being compared with the same numerators, the smaller the denominator, the larger the number. Column A is greater. 128. c. By the laws of exponents, (a4)2 = a4 × 2 = a8. This is true for any real number a. Therefore, the quantities in Column A and Column B are equal. 129. a. 33 is equal to 3 × 3 × 3, which is 27.

5 three places to the right to get 16,500 (quantity A). 65 four places to the right to get 16,500 (quantity B). 28. c. “Of ” means multiply. Multiply the fractions in quantity A; 3 ᎏ4ᎏ × ᎏ181ᎏ = ᎏ2444ᎏ = ᎏ161ᎏ. Quantity A is equal to quantity B. 29. a. The value of x is negative. x3 is also negative because three negatives multiply to a negative answer. The negative in front of −x3y negates the negative of x3, making the quantity positive. The value of y doesn’t matter because it is positive, making it greater than quantity B.

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