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Question need help . thanks. hard....

by silvia928 » Thu Jun 05, 2008 7:09 pm
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.











Ans. B
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Source: — Data Sufficiency |
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by netigen » Thu Jun 05, 2008 10:37 pm
Question rephrase:

is n/m an integer or is m a factor of n

from (A) we know that 3n/m is an integer. This means that m is a factor of 3n and we know that m>3 so doesn't help us figure out if m is a factor of n

E.g. n=17 and m=3
E.g. n=15 and m=5

from (B) we know that 13n/m is an integer. This means that m is a factor of 13n and we know that 3<m<13 so it can not be a factor of 13. Hence, m is a factor of n hence sufficient.
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