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Extra info for 501 Quantitative Comparison Questions: Master This Specialized Math Skill and Score Higher!
58. c. 4x is an even number because any multiple of 4 is even. 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.
Therefore, 254 = (52)4 = 58. Compare the exponents of quantities A and B. 9 > 8. Quantity A is greater. 99. c. To multiply fractions, simply multiply across the numerators and denominators. The numbers in the numerators in quantity A and quantity B are the same (1, 3, 7), just in a different order. The quantities in the denominators are also the same (2, 4, 9), just in a different order. When multiplied out, both quantities are ᎏ271ᎏ2 . 100. b. Follow the order of operations. Quantity A is 2 + 82 − 6 − 10 = 2 + 64 − 6 − 10 = 50.
B2 b3 a≠0 212. −a2 (−a)2 2 213. 667)3 2