Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 May 2015, 09:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# if n is a positive integer and n^2 is divisible by 72, then

Author Message
TAGS:
Director
Joined: 17 Oct 2005
Posts: 940
Followers: 1

Kudos [?]: 62 [0], given: 0

if n is a positive integer and n^2 is divisible by 72, then [#permalink]  15 Dec 2005, 06:24
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
if n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is what?
Director
Joined: 09 Jul 2005
Posts: 595
Followers: 2

Kudos [?]: 26 [0], given: 0

automan wrote:
We don't know.

Upsss, I didn't consider the "must". I should have read more carefully.

n^2=K*72= K * 2 * 6 * 6

n= sqrt(2K)*6

Since n is an integer then sqrt(2K) must be un integer. The lowest integer that we can form varying K is sqrt(2K)=2. Therefore 12 must divide n.
Similar topics Replies Last post
Similar
Topics:
If n is a positive integer and n^2 is divisible by 72, then 16 08 Jan 2007, 23:21
2 If n is a positive integer and n^2 is divisible by 72, then 10 16 Sep 2006, 09:57
If n is a positive integer and n^2 is divisible by 72, then 2 15 Apr 2006, 20:03
If n is a positive integer and n^2 is divisible by 72, then 1 12 Dec 2005, 22:51
If n is a positive integer and n^2 is divisible by 72, then 3 07 Oct 2005, 02:51
Display posts from previous: Sort by