If n is all positive integer, then the units digit of n102 cannot be which of the following?

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问题 If n is all positive integer, then the units digit of n¹⁰² cannot be which of the following?

选项 A、4
B、5
C、9
D、2
E、0

答案D

解析本题考查的是自然数n次幂的尾数循环特征，102除以4余数为2，因此n¹⁰²的个位数和n²的个位数是一样的，因此我们只要判断n²的个位数不可能是下面哪一个数字即可。
在个位数的对应中，
0对应0，例如：100=10²，
4对应2，8，例如：64=8²，4=2²，
9对应3，7，例如：169=13²，
5对应5，例如：125=15²，因此，选择D。

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本试题收录于： GRE QUANTITATIVE题库GRE分类

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If n is all positive integer, then the units digit of n102 cannot be which of the following?

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