students per class room

Expert replies

arocks: Master | Next Rank: 500 Posts; Posts: 127; Joined: Tue Oct 02, 2007 9:35 am; Thanked: 1 times

by arocks » Mon Oct 15, 2007 1:24 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.

OA - B

Source: Beat The GMAT — Data Sufficiency | Mon Oct 15, 2007 1:24 am

samirpandeyit62: Master | Next Rank: 500 Posts; Posts: 460; Joined: Sun Mar 25, 2007 7:42 am; Thanked: 27 times

by samirpandeyit62 » Mon Oct 15, 2007 2:35 am

Let a be students assigned per class

1) ma = 3n

so a =3n/m now here m may divide n evenly then it will be possible, however m may be something like 6,9 i,e it has a factor 3, which divides 3 & the other factor divides n, e.g n=20, m=6, howver if m=5 then it divides n

INSUFF

2) ma =13n

so a= 13n/m, now since m is between 3 < m < 13 < n so it will not divide 13 hence for a to be an integer it should divide n

Suff.

Regards
Samir

Featured schoolRound 2 closes Jan 7, 2027 58 days left

Chicago Booth

Since 1982, 10 Booth faculty members have received the Nobel Prize in Economic Sciences, more than any other business school.

#3
U.S. News rank: $175,000
Median base salary: 670
Average GMAT Focus: 635
Students in the class

Apply to Booth Visit chicagobooth.edu See the full profile

Photo: Warren LeMay, CC BY-SA 2.0

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review