McGraw-Hill Education GRE 2019

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Exercise: Positives and Negatives


Discrete Quantitative Questions



  1. If a < b < 0, then which of the following must be true?


A ab < 0
B a + b > 0
C ab < 0
D b – a > 0
E a – b > 0


  1. If xy > 0 and yz < 0, then which of the following must be negative?


A xyz
B xy^2 z
C x^2 y^2 z
D x^2 y^2 z^2
E xyz


  1. If ab^2 > 0 and ac < 0, then which of the following must be true?
    (Indicate all the apply.)
    A ab >0
    B b > 0
    C ac < 0
    D b^2 c < 0
    E a(c^2 ) > 0

  2. If 0 > x > y, then which of the following must be true? (Indicate all
    that apply.)


A^ x^2 – y^2 < 0
B^ y – x < 0
C^ x^12 < 1
D^ x + yx > 0
E^ y^2 – x^2 < 0

CHAPTER 9 ■ NUMBER PROPERTIES 193

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