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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 part of the examination. 501 Quantitative comparability Questions is designed to aid scholars organize for this really good math part, mastery of that is crucial for reputation to fascinating colleges and jobs. via finishing the workouts during this e-book, scholars can elevate their math wisdom and achieve familiarity with really good questions had to ranking excessive. The ebook good points entire solutions, each one with a whole clarification
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The possible integer factor pairs of 30 are (1,30), (2,15), (3,10), and (5,6). Of these factor pairs, (1,30) has the largest sum; 1 + 30 = 31. 31 is not larger than 32, so quantity B is greater. 31. b. x is a positive number less than 1. The easiest way to see this solution is to try different numbers for x. 5ᎏ 1 1 ᎏ=ᎏ ᎏ = 4. 5)2 greater than quantity A. 14 501 Quantitative Comparison Questions 4 32. c. 1; the two quantities are equal. 33. a. 000123. 0000123. 0000123. x x 34. b. In order for ᎏ5ᎏ and ᎏ6ᎏ to be integers, x must be evenly divisible by 5 and 6.
B. The product of two odd numbers is odd. The remainder when an odd number is divided by 2 is always 1. Therefore, quantity A is always 1. Since x is larger than y, ᎏxyᎏ is always greater than 1 because y always goes into x more than one time. 49. a. Square both quantities to compare without the square roots: ෆ)2 = 9(5x) = 45x. Since x is (5͙3x ෆ)2 = 25(3x) = 75x; (3͙5x positive, 75x is always greater than 45x. 50. a. 1. In this case, quantity A is greater. Try a number greater than 1 such as 20.
24 2 Algebra In this chapter, the following math concepts will be the subject of the 125 algebra-based quantitative comparison questions: ■ ■ ■ ■ ■ ■ ■ ■ Applications Coordinate Geometry Inequalities Operations with Algebraic Expressions Rules of Exponents Solving Linear Equations Solving Quadratic Equations in One Variable Translating Words into Algebraic Expressions Some important guidelines: Numbers: All numbers used are real numbers. Figures: Figures that accompany questions are intended to provide information useful in answering the questions.
501 quantitative comparison questions by LearningExpress Editors