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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,
admin
2017-10-16
57
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.
选项
答案
C
解析
Since the point(2, 2)is a vertex of square S and the point(6, 6)is the midpoint of the diagonals, it follows that the point(10,10)is also a vertex of the square. Using this information you can sketch square S in the xy-plane, labeling the points(2, 2),(6, 6), and(10,10)as shown in the figure below.
From the figure, you can see that S has sides of length 8. Therefore the area of S is 8
2
= 64. Hence Quantity A is equal to Quantity B, and the correct answer is Choice C.
This explanation uses the following strategies.
Strategy 2: Translate from Words to a Figure or Diagram
Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation
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本试题收录于:
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GRE QUANTITATIVE
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