gwd12 Q7

xiaochan1982

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.

answer:B

help!!!

xiaochan1982

thanks  a  lot  !!!!

woodruff1

该题问n是否能被m整除.

1)说3n能被m整除,但n不一定能.比如m=6,n=8;

2)说13n能被m整除,但是由于13和m肯定互质(因为m小于13),所以n必须能被m整除.