2. 外语
  3. If x, y are positive integers, is xy divisible by 4? (1)y+2 is divisible by 4. (2)x+2 is divisible by 4.

If x, y are positive integers, is xy divisible by 4? (1)y+2 is divisible by 4. (2)x+2 is divisible by 4.

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问题 If x, y are positive integers, is xy divisible by 4?
(1)y+2 is divisible by 4.
(2)x+2 is divisible by 4.
选项 A、Statement (1) ALONE is sufficient, but statement (26) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (25) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (26) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(26)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案C
解析 Statement (1)中，y+2能够被4整除，y=4n+2，x是什么值不知道，所以xy是否被4整除无法确定。Statement (2)中，x可以表示为x=4m+2，和(1)一样的道理也无法回答问题。把(1)和(2)结合起来得到：xy=(4n+2)×(4m+2)=16ran+Sin+8n+4，显然能够被4整除，所以C为正确答案。
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