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A school administrator will assign each student in a group [#permalink]
01 May 2008, 20:24

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 bclassroom has the same number of students assigned to it?

1) it is possible to assign beach 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 bclassroom has the same number of students assigned to it.

B, because A says nothing except that 3n is a multiple of m on the account of 3 and a factor of n (so if m=6 and n=20, 3n will work: 3*2*10, while n will not).

On the other hand, 13m can't work on the account of 13 because m<13 and 13 is prime.

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