求OG12 DS128题详解

bettylll

如下题，这题怎么解释？看OG的答案看不太明白。
A school administor will assign each student in a group of n students to one of m classrooms.If 3<m<13<n,is it possible to assign each of the n students to one of the m classrooms so that each classroom has the same number of students assigned to it?
（1）It is possible to assign each of 3n students to one of m classrooms so that each classroom has the same number of students assigned to it.
 (2)  It is possible to assign each of 13n studetns to one of m classrooms so that each classroom has the same number of students assigned to it.

bananaw123

有点怕DS

bananaw123

这种题好阴险，考试遇到这种题肯定想不到。。。。。。。。。。。。。。

2010

FW from: http://forum.chasedream.com/GMAT_Math/thread-433703-1-1.html?SearchText=OG12 DS 128
题目说了半天，其实就是问，

3<m<13<n, n是否能整除m？条件1，3n能整除m；条件2，13n能整除m。

这就简单了，m的取值可以是2，3，4，5，6，7，8，9，10，11，12，这样，根据条件1，3n能整除m，无法判断出n是否能整除m，因为m有可能是6，9，或者12。但是条件2，13n可能 整除m的话，并且m的取值中没有能整除13被13整除的，这就说明13n中的n一定正整除m。所以条件2可以判断