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

游客2024-01-12 57

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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