If m and n are nonzero integers, is mn an integer?

(1) nm is positive.

(2) nm is an integer

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

##### 考题讲解

（1）  上述例子满足条件1，~$n^m=2$~为正，但~$m^n$~不是整数。

（2）  上述例子同时满足条件2，~$n^m=2$~为正，但~$m^n$~不是整数。