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题库 / Prep2007E1-DS-76
Is the integer k divisible by 4 ?
(1) 8k is divisible by 16.
(2) 9k is divisible by 12.
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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条件2化简得到3k是4的倍数，因为3k的3是质数，不包含4，所以3k如果要是4的倍数，K一定是4的倍数。
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(2) 9k is divisible by 12. 即3*3k能被3*4整除，3k能被4整除，k能被4整除
条件二，3K 可以被4整除，3 和4互斥，所有K里面肯定有4.