Is ax<a+x? (1)0<x<1 (2)a is a positive integer.

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问题 Is ax<a+x?
(1)0<x<1
(2)a is a positive integer.

选项 A、Statement (1) ALONE is sufficient, but statement (24) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (23) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (24) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(24)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

答案C

解析 由ax<a+x得到a(x-1)<x,Statement (1)为0<x<1,那么x-1<0,但a为何值不知道,所以无法判定。Statement (2)为a为大于1的整数,但是a为何值不知道,也无法判定。把(1)和(2)结合起来,0<x<1,a为大于1的整数,那么a(x-1)<x,也就是ax<a+x,所以C为正确答案。
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