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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.      

我用例子算了一下  A 确实可以确定余数为2  但是我想知道

道理何在啊

各位之和能被3整除的，这个数能被3整除。所以A充分。

题目问被3除，给被9除的条件，不充分。

是不是有一个定理什么的是

各位数之和比三多多少 那么这个数被3除的余数就是多少哦

(2)也可以的

  因为 x/9  =  N+5

   所以  (x/9)*3   =   3N+15

          x/3      =   3N+15

呵呵 我的蠢办法