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A better way to solve this problem

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A better way to solve this problem

by jnbimmer » Tue Dec 15, 2009 10:24 am
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.
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Source: — Data Sufficiency |
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by gmat740 » Mon Jan 18, 2010 11:07 am
1 and 2 will only be possible when (n/m) will be an integer.

Tip : Take any value of n and m which satisfies the condition and verify!
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by tanviet » Wed Jan 27, 2010 2:06 am
3n/m is integer, n can be 2 (when m=6)

n can be 6 (when n=6)

1 Insufficient

13n/m is interger, and m<13, so 13 can not be divieded by m, and n must be diviede by m

B is correct
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