What is the remainder when the two digit, positive integer x is divided by 3?

(1) The sum of the digits of x is 5.
(2) The remainder when x is divided by 9 is 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.

考题讲解

问两位数整数x被3整除的余数
条件1:各位数之和是5,有一个比较笨的办法:x只能有14,41,23,32,50这几种情况,除3余数都是2,充分。
条件2:被9除的部分,一定能被3整除,剩余余数5,还可以除3,余数一定为2,充分。

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