2. 外语
  3. If x, y and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necess

If x, y and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necess

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问题 If x, y and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necessarily an integer?
选项 A、(x+z)/z
B、(y+z)/x
C、(x+y)/z
D、xy/z
E、yz/x
答案B
解析 问选项中的分式是不是一个整数，和上面的例题一样只要看分子是否能够整除分母。题目中告诉我们x是y的一个因子，而x是z的倍数，那么必然Y也是z的倍数。
对于选项A，分母是z，结果为x是z的几倍+1，必然是整数。
对于选项B，分母是x，y/x是整数，但是z/x却不一定是整数，所以选择B。
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