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Additional info for 501 Quantitative Comparison Questions: Master This Specialized Math Skill and Score Higher!
The reciprocal of y 2 The equation of line l is y = ᎏ3ᎏx − 1. 3 Line m is perpendicular to the line y = − ᎏ2ᎏx + 1. the slope of line l 239. the slope of line m Points (4, c) and (0, d) are on line n. 3 The slope of line n is ᎏ4ᎏ. c−d 3 y = −2x − 3 240. the y-intercept of the equation 241. the slope of the equation the x-intercept of the equation the slope of the equation −3y + 3x = 9 2y − 4x = 6 242. the distance between the 5 points (0, 0) and (−3, 4) 243. the difference between 26 the sum of 8 and 2 and the product of 4 and 3 244.
The remainder when an even number is divided by 2 is 0. 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, ͙22 ෆ < 5. Quantity A is greater. a b a 4 9 36 36 61. a. ᎏbᎏ × ᎏcᎏ = ᎏcᎏ and ᎏ5ᎏ × ᎏ7ᎏ = ᎏ35ᎏ; ᎏ3ᎏ 5 > 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.
The only distinct prime factors of 123 are 3 and 2. The only distinct prime factors of 503 are 5 and 2. Since they both have 2 distinct prime factors, the quantities are equal. 94. b. 3 20 501 Quantitative Comparison Questions 95. c. |−83| = 83 and |83| = 83 96. d. The relationship cannot be determined. 1 = −450. In this example, quantity A is greater. If r = −5, 45(−5) = −225 and ᎏ−45ᎏ5 = −9. In this example, quantity B is greater. 97. c. −11 + (−4) = −11 − 4 = −15 98. a. In order to compare the two quantities, the bases must be the same.