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题库 / OG2017Q-DS-244
Can the positive integer p be expressed as the product of two integers, each of which is greater than 1 ?
(1) 31 < p < 37
(2) p is odd.
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） p是正整数，满足31 < p < 37，则p可以取32，33，34，35，36，这5个数均能表示为两个大于1的整数的乘积。
（2） p是奇数，例如p=3，则p不能表示为两个大于1的整数的乘积；又如p=9，p可以表示为两个大于1的整数的乘积，即9=3*3，所以，条件2无法确定题目的解。
因此，本题答案为（A），仅条件1可以解题，条件2不行。
34=2 x 17
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