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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
2015-03-24
29
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.
r and t are consecutive integers and p = r
2
+t.
Quantity A Quantity B
(-1)
p
-1
选项
答案
C
解析
Recall that
Since p = r
2
+ t, the value of(-1)
p
depends on whether r
2
+ t is odd or even.
If r is an odd integer, then r
2
is an odd integer and, since r and t are consecutive integers, t is an even integer. In this case, p is the sum of an odd integer and an even integer and is therefore an odd integer.
Similarly, if r is an even integer, then r
2
is an even integer and t is an odd integer. In this case, p is the sum of an even integer and an odd integer and is therefore an odd integer.
In both cases, p is an odd integer. It follows that(—1)
p
= -1, and the correct answer is Choice C.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 11: Divide into Cases
转载请注明原文地址:https://kaotiyun.com/show/QwkO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
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