If the integer k has remainder 7 when divided by 8, what is the remainder when 3

游客2025-02-27 34

问题 If the integer k has remainder 7 when divided by 8, what is the remainder when 3k is divided by 4?

选项 A、0
B、1
C、2
D、3
E、4

答案 B

解析 k除以8余数为7，那么可以表示为k=8n+7，n is an integer，3k=3×(8n+7)=24n+21，现在要求3k除以4的余数，24n是4的倍数，只要考虑21除以4的余数为几?21=4×5+1，所以选择B。

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