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题库 / Prep2007E2-DS-162
If n is a positive integer and r is the remainder when n2 - 1 is divided by 8, what is the value of r ?
(1) n is odd.
(2) n is not divisible by 8.
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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设n=2k+1, k为整数
(2k+1)²-1=4k²+4k=4k(k+1)
显然k与k+1一奇一偶，k*(k+1)是偶数
故n²-1能被8整除
n不被8整除时，n为任意不被8整除的数，且（nXn-1）/8的余数也是任意的，无法确定。
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