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本題由chris提供
What is the greatest common factor of the positive integers
(1) k = j + 1
(2) jk is divisible by 5.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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答案：
A
問k和j最?
條件一 k=j+1 說明k永遠(yuǎn)比j大一 換句話就是說 如果k可以被任意一個除1外的數(shù)整除，那么j除以這個數(shù)就一定余1 所以說明能夠被k和j同時整除的數(shù)只有1，也就是只有1為其相同的因子
條件二 kj可以被5整除，說明k或j中有一個數(shù)可以被5整除，另外一個不確定。例如 k=5 j=2 或 k=5 j=10 都符合題意 但kj最大的相同因子卻無法確定
所以 選A
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