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题库 / Prep2007E1-DS-137
If x is an integer, is (x2 + 1)(x + 5) an even number?
(1) x is an odd number.
(2) Each prime factor of x2 is greater than 7.
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.
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X 的n次方的奇偶性跟X 自己一致；
条件一：x的奇偶性已经知道了，充分；
条件二：质因子都大于7，只有11，13，17，19这样的，不含2，肯定是奇数，充分