Is the integer n a prime number?

(1) 24 ≤ n ≤28

(2) n is not divisible by 2 or 3.


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

题目分析:

本题判断n是否为质数,质数是只能被1和自身整除的正整数。

(1)24 ≤ n ≤ 28,n可以取24、25、26、27、28,这五个数均不是质数

(2)不能被2或3整除的数,比如25,满足条件2,但不是质数,例如11,不能被2或3整除,但11是质数。

所以,只有条件1能确定n是否为质数,条件2不能。

因此,本题答案为(A),仅条件1可以解题,条件2不行。

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