When the integer m is divided by 6, the remainder is 4. When the integer p is di

游客2024-01-12  19

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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