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(求助)数学OG12-128

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发表于 2009-12-1 00:09:04 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
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.

答案是B,我选E,不是很理解意思。
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沙发
发表于 2009-12-30 00:59:48 | 只看该作者
each classroom has the same number of students assigned to it?说明N需能被M整除,即M的factors也都是N的

(1)3n能被M整除,说明M的factors也都是N的factors或者3

(2 )13n能被M整除,说明M的factors也都是N的factors或者13,但是M<13,13不可能是M的factor。
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