GMAT考题：Prep2007E2-DS-117

GMAT考题

What is the remainder when the positive integer n is divided by the positive integer k, where k > 1 ?

(1) n = (k + 1)³
(2) k = 5

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.

毕出

条件1：根据二项式定理：得~$n = (k + 1)^3=k^3+2k^2+2k+1$~ n除以k（k>1）余1;充分。
条件2：只知道k的值不知道n无法确定余数，不充分。

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