If x and y are different prime numbers, each greater than 2, which of the follow

游客2024-01-12 37

问题 If x and y are different prime numbers, each greater than 2, which of the following must be true?
Ⅰ. x+y ≠91
Ⅱ. x-y is an even integer.
Ⅲ. x/y is not an integer.

选项 A、Ⅱ only
B、Ⅰ and Ⅱ only
C、Ⅰ and Ⅲ only
D、Ⅱ and Ⅲ only
E、Ⅰ, Ⅱ and Ⅲ

答案 E

解析 x，y都是大于2的质数，那么x，y必然都是奇数，所以两者之和必然为偶数，那么Ⅰ正确，两者之差也是偶数，Ⅱ正确，而由于x，y互质，x/y必然不是整数。因此E为正确答案。

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