请教GWD31的数学题16-7，多谢大家赐教

julia818

请教GWD 16-7，这题答案为B，为啥呢？多谢赐教

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.

                  

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.

julia818

自己顶一下，多谢各位帮助

doyoga

我很想帮你~

奈何想不出来.........

帮你呼唤NN~

linn11

意思就是问n能不能被m整除

1）3n能被m整除，m可能是6，n是8、10、12，不确定

2）13n能被m整除，因为m，n都小于13，所以m不可能含有13这个因子，因此可以推出n能被m整除

julia818

多谢大牛