gwd15-28

A school administrator 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 students to one of m classrooms so that each classroom has the same number of students assigned to it.

問是否 possible，是不是只要有符合情況就算是??

 請指點一下~~

题目转化为：if 3 < m < 13 < n, n/m 是不是整数？

1）3n/m 是整数；

2）13n/m 是整数；

解题：

1）不一定，eg. 3 x 56 / 6 是整数，但56 / 6 不是；

2）可以确定n/m是整数