gwd12 Q7

applebees

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!!!

lemonees

樓上的可能說錯了...N不能等於8..題目已經說...N>13 要等N=16..但M=5或其他等等，則3N可以整除m,但N不能整除M...不成立，所以是B.

xiaoyue

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.