Last visit was: 26 Apr 2026, 10:40 It is currently 26 Apr 2026, 10:40
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
Jinglander
Joined: 24 May 2010
Last visit: 02 Apr 2013
Posts: 66
Own Kudos:
250
 [17]
Given Kudos: 1
Posts: 66
Kudos: 250
 [17]
Kudos
Add Kudos
17
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 26 Apr 2026
Posts: 109,837
Own Kudos:
Given Kudos: 105,896
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,837
Kudos: 811,420
 [11]
5
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
General Discussion
User avatar
Jinglander
Joined: 24 May 2010
Last visit: 02 Apr 2013
Posts: 66
Own Kudos:
Given Kudos: 1
Posts: 66
Kudos: 250
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 26 Apr 2026
Posts: 109,837
Own Kudos:
811,420
 [2]
Given Kudos: 105,896
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,837
Kudos: 811,420
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Jinglander
I will post in the right place from now on. Also in part 1 why only take the even integers to realize is was a multiple of 6

Posted from my mobile device

\(n=3\sqrt{2p}=integer\) --> \(\sqrt{2p}=integer\), which basically means that 2p is a even perfect square: 4, 16, 36, 64 --> so \(\sqrt{2p}\) can be \(\sqrt{4}=2\), \(\sqrt{16}=4\), \(\sqrt{36}=6\), \(\sqrt{64}=8\), ... even numbers --> \(n=3*even\), so n is multiple of 6 for sure.

Hope it's clear.
avatar
hcb
Joined: 19 May 2010
Last visit: 01 Sep 2010
Posts: 53
Own Kudos:
Given Kudos: 1
Posts: 53
Kudos: 2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I feel stupid for asking, but why are prime numbers only positive? Can't negative numbers be prime numbers, i.e. -2 or -3? Is this something I just have to know and not worry too much about?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 26 Apr 2026
Posts: 109,837
Own Kudos:
Given Kudos: 105,896
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,837
Kudos: 811,420
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hcb
I feel stupid for asking, but why are prime numbers only positive? Can't negative numbers be prime numbers, i.e. -2 or -3? Is this something I just have to know and not worry too much about?

By definition a prime number is a positive integer that has no positive integer divisors other than 1 and itself.

So just remember it and don't worry about it.

(The main reason we have this restrictions in definition is that if we remove them there will be some problems with fundamental theorem of arithmetic (unique prime factorization theorem), so removing them would require many other adjustment).
User avatar
stonecold
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,231
Own Kudos:
Given Kudos: 893
GRE 1: Q169 V154
GRE 1: Q169 V154
Posts: 2,231
Kudos: 3,644
Kudos
Add Kudos
Bookmarks
Bookmark this Post
what on earth are N2 and N3

Regards
Stonecold
User avatar
abhimahna
User avatar
Board of Directors
Joined: 18 Jul 2015
Last visit: 06 Jul 2024
Posts: 3,481
Own Kudos:
5,779
 [2]
Given Kudos: 346
Status:Emory Goizueta Alum
Products:
Expert
Expert reply
Posts: 3,481
Kudos: 5,779
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
stonecold
what on earth are N2 and N3

Regards
Stonecold

Lol.. Try to understand the emotions :-D

N2 and N3 means N^2 and N^3.
User avatar
stonecold
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,231
Own Kudos:
Given Kudos: 893
GRE 1: Q169 V154
GRE 1: Q169 V154
Posts: 2,231
Kudos: 3,644
Kudos
Add Kudos
Bookmarks
Bookmark this Post
abhimahna
stonecold
what on earth are N2 and N3

Regards
Stonecold

Lol.. Try to understand the emotions :-D

N2 and N3 means N^2 and N^3.


Then E is the answer i guess
Logic used => N and N^p has same prime factor.
A better way => Take N =6 and Smash that E
avatar
Tushar2278
Joined: 28 Aug 2017
Last visit: 22 Nov 2017
Posts: 5
Own Kudos:
Given Kudos: 9
Posts: 5
Kudos: 1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I really don't understand why it is writen as N2 instead of N^2
avatar
yogeshmisthi
Joined: 26 Aug 2017
Last visit: 07 Sep 2017
Posts: 6
Posts: 6
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Condition of N is not clear so E will be ans

Sent from my Redmi 4A using GMAT Club Forum mobile app
User avatar
Mo2men
Joined: 26 Mar 2013
Last visit: 09 May 2023
Posts: 2,426
Own Kudos:
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Products:
Schools: Erasmus (II)
Posts: 2,426
Kudos: 1,508
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Jinglander
If N is a positive integer, is 9 a factor of N?

(1) 18 is a factor of N^2
(2) 27 is a factor of N^3


(1) 18 is a factor of N^2

Let N = 6.............. 18 factor of (6)^2................Answer is No

Let N =18.............. 18 factor of (18)^2..............Answer is Yes

Insufficient


(2) 27 is a factor of N^3

Let N = 6.............. 27 factor of (6)^3................Answer is No

Let N =18.............. 27 factor of (18)^3..............Answer is Yes

Insufficient

Combine 1 & 2

Use same examples above.....No clear answer

Answer: E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,989
Own Kudos:
Posts: 38,989
Kudos: 1,118
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109837 posts
498 posts
212 posts