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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
14
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.
N= 824
x
, where x is a positive integer.
选项
答案
B
解析
Note that the units digit of a product of positive integers is equal to the units digit of the product of the units digits of those integers. In particular, since 824
x
is a product of x integers, each of which is 824, it follows that the units digit of 824
x
is equal to the units digit of 4
x
. Also, the units digit of 4
x
is equal to the units digit of the product(4)(units digit of 4
x-1
).
The following table shows the units digit of 4
x
for some values of x, beginning with x = 2.
From the table, you can see that the units digit of 4
x
alternates, and will continue to alternate, between 4 and 6. Therefore, Quantity A, the number of possible values of the units digit of 824
x
, is 2. Since Quantity B is 4, the correct answer is Choice B.
This explanation uses the following strategies.
Strategy 7: Find a Pattern
Strategy 12: Adapt Solutions to Related Problems
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本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
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