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某个学校
条件一:如果安排3n个学生到m个教室,那么可以做到每个教室里的人数都一样。
条件二:如果安排13n个学生到m个教室,那么可以做到每个教室里的人数都一样。
解析:
条件一说明3n能够被m整除,那么m可能值有4,5,6,7,8,9,10,11,12,其中6,9,12均是3的倍数,3n/m可约分,导致3n/m的整除与n/m的整除之间没有必然联系。例如,m=6,n=16,3n/m=8,但是n/m=8/3,不能整除,所以(1)不充分;
条件二说明13n能够被m整除,那么m可能值有4,5,6,7,8,9,10,11,12,没有13这个因子,且13是质数,所以13n/m无论m为何值均不能将13约分下去,这就导致了若想13n/m是整数,则n/m必须是整数。所以(2)充分。
选B

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