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If the integer k has remainder 7 when divided by 8, what is the remainder when 3
If the integer k has remainder 7 when divided by 8, what is the remainder when 3
游客
2025-02-23
20
管理
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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