一道奇怪的gwd题？？？

prfdu2005

    

If positive integer x is a multiple of 6
and positive integer y is a multiple of 14, is xy a multiple of 105?

    

(1)   x is a multiple of 9.

    

(2)
            y is a multiple of 25.

    

                  

    

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.

这道题什么意思啊？既然题目已说分别为6，14的一个因子，下面给的条件中又说它们是9，25的因子，是不是冲突了呀？好奇怪哦！

bigdreamer

这题的意思不矛盾.按照题意,x既是6也是9的倍数;y既是14还是25的倍数.

从题干得知,xy的最小公倍数为84.条件二,y 是25 的倍数 84*25=2100是105的倍数.

ans: B

prfdu2005

wow,懂喽！谢谢bigdreamer