2. 外语
  3. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

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问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.
xy = 8 and x = y-2.
Quantity A   Quantity B
y           0
选项
答案D
解析 In order to compare y and 0, you can try to determine the value of y from the two equations xy = 8 and x = y - 2. Substituting y-2 for x in the equation xy = 8 gives(y - 2)y = 8, or y2- 2y - 8 = 0. Factoring this quadratic equation yields(y - 4)(y + 2)= 0. Therefore y can be either 4 or -2, so Quantity A can be greater than 0 or less than 0. Thus the correct answer is Choice D.
This explanation uses the following strategies.
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 13: Determine Whether a Conclusion Follows from the Information Given
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本试题收录于： GRE QUANTITATIVE题库GRE分类
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