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题库 / Prep2007E1-DS-167
If x, y, and z are integers and xy + z is an odd integer, is x an even integer?
(1) xy + xz is an even integer.
(2) y + xz is an odd 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.
还没有题目讲解（毕出老师会陆续发布对官方考题的解读，请保持关注）。
将xy + z是奇的情况下，x,y,z全部的可能的奇偶组合列出来。再分别用条件1、条件2去过滤这些组合，看剩下的组合里x的奇偶性是否能确定。
解法虽然简单，但确实很需要清晰的逻辑。考验草稿纸的时候到啦。
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