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题库 / Prep2007E2-DS-73
If n is a positive integer, is n3 - n divisible by 4 ?
(1) n = 2k + 1, where k is an integer.
(2) n2 + n is divisible by 6.
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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n^3-n=n（n-1）（n+1）
（1）n=2k+1，说明n为奇数。那么n（n-1）（n+1）则为奇偶偶，里面至少含有2个2，所以可以被4整除
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