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When the integer m is divided by 6, the remainder is 4. When the integer p is di
When the integer m is divided by 6, the remainder is 4. When the integer p is di
游客
2024-01-12
15
管理
问题
When the integer m is divided by 6, the remainder is 4. When the integer p is divided by 6, the remainder is 5. What is the remainder when the product mp is divided by 6?
选项
A、1
B、2
C、3
D、4
E、5
答案
B
解析
单选题,故直接找例子即可。显然,4除以6余4,5除以6余5,则4×5=20,除以6余数为2。
一般做法:m=6k+4,P=6t+5,m×p=36tk+24t+30k+20,除以6余数依然为20除以6的余数,为2。故答案为B。
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