What is the value of the positive integer n ?
(1) n4 < 25
(2) n ≠ n 2
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.
题目分析:
(1)~$x^4<25$~ ,又因为n是正整数,所以,n<~$\sqrt{5}$~≈2.23,n可取1、2,所以根据条件1不能得出n的值。
(2)~$n ≠n^2$~ ,又因为n为正整数,所以有n≠1。仅有条件2也无法得到n的值。
结合条件1和条件2,n只能取2,可确定n的值。
因此,本题答案为(C),两个条件结合起来才能解题,任何单独一个均不行。