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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 section of the examination. 501 Quantitative comparability Questions is designed to assist scholars organize for this really expert math part, mastery of that's crucial for attractiveness to fascinating colleges and jobs. through finishing the workouts during this booklet, scholars can bring up their math wisdom and achieve familiarity with really expert questions had to ranking excessive. The publication positive aspects entire solutions, each one with a whole rationalization
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Additional info for 501 quantitative comparison questions
A. Quantity A is positive because a negative number to an even power yields a positive answer. Quantity B is negative because a negative number to an odd power yields a negative answer. Any positive number is greater than any negative number. 118. c. Use the rules of exponents to simplify the quantities; (m3)6 = 36 = m18. Both quantities are equivalent to m18. ෆ m18; ͙m 119. c. Divide both terms in the numerator of quantity A by 5. This yields x − 7, which is equivalent to quantity B. 120. c. The only prime divisible by 7 is 7.
D. The relationship cannot be determined. Subtract ᎏxᎏ from both quantities. Now compare 3y and 7y. If y is negative, 3y is greater. If y is positive, 7y is greater. 46. c. (n2)4 = n8 and (n4)2 = n8. The quantities are equal. 3 47. b. The ﬁrst integer that n can be is 2. 5, quantity B is greater. Quickly plugging in other integers shows that this is always true. 48. 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.
B. Subtract 2x from both quantities. Quantity A is now x − 5 and quantity B is now 0. Add 5 to both quantities. A is now x and B is now 5. x is deﬁned as between −1 and 1. Therefore, it is less than 5. 16 501 Quantitative Comparison Questions 52. d. The relationship cannot be determined. 5. 5, quantity B is greater. If x = 6, quantity A is 62 + 1 = 36 + 1 = 37 and quantity B is 6 + 1 = 7. Quantity A is greater when x = 6. x x 53. a. ᎏxᎏ always equals 1. Since x < y and x is positive, ᎏyᎏ < 1. 54.