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题库 / GMATLA-DS-64
What is the remainder when the positive integer n is divided by 3?
(1) The remainder when n is divided by 2 is 1.
(2) The remainder when n + 1 is divided by 3 is 2.
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（1）：n被2除的时候余数为1。n可以被表示成n=2K+1，K为正整数。随便挑几个值一试就可以了，K如果是1那么N除以3就刚好整除，反例，如果K=2，那么N除以3就余1.
条件（2）：n+1被3除的时候余数为2。n可以被表示成n+1=3K+2,即n=3K+1。很明显3K一定是3的倍数，所以3K一定被3整除，多出来的1就是余数了。充分。
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