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If x, y and z are positive integers such that x is a factor of y, and x is a mul
If x, y and z are positive integers such that x is a factor of y, and x is a mul
游客
2025-02-23
18
管理
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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