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# A school administrator will assign each student in a group

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Joined: 23 Mar 2008
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01 May 2008, 20:24
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.
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01 May 2008, 21:12
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.
Re: students   [#permalink] 01 May 2008, 21:12
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