A school administrator

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A school administrator

by wilson4mba » Fri Feb 25, 2011 2:57 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.


This topic has been discussed before ........but i have a querry

The question says that m has to be a factor of n. In statement (2) if the number of students are 13n , then for m (classrooms) to be a factor for all possible values of 13n(students) , m has to be equal to 13. The problem states 3 < m < 13 <n. So if the number of students are 13*17 ,13 & 17 both are prime numbers then it is not divisible by m (because the number of classrooms always have to be less than 13)

Can somebody answer my querry?
Source: — Data Sufficiency |

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by Anurag@Gurome » Fri Feb 25, 2011 3:55 am
In statement (2), Since m < 13, so m cannot be 13 or it's multiple. This implies m must be a factor of n, so that n/m is an integer. Hence, (2) is SUFFICIENT.

You can also see the thread https://www.beatthegmat.com/128-in-og-12 ... 75970.html
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by madhan_dc » Fri Feb 25, 2011 11:00 am
Thanks Anurag, it is so obvious after i read your explanation. How do i develop this kind of thought process?

keep practicing? Eat tuna?

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by BarryLi » Fri Feb 25, 2011 11:33 am
Even though you're not asking me, tuna is a good choice On the day before the exam though, I'm going to be eating some sashimi at a local Japanese restaurant.