Last visit was: 11 Jul 2025, 15:11 It is currently 11 Jul 2025, 15:11
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
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 11 July 2025
Posts: 102,635
Own Kudos:
Given Kudos: 98,171
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,635
Kudos: 740,484
 [20]
1
Kudos
Add Kudos
19
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 11 July 2025
Posts: 102,635
Own Kudos:
740,484
 [5]
Given Kudos: 98,171
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,635
Kudos: 740,484
 [5]
3
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
General Discussion
avatar
Manoraaju
Joined: 10 May 2017
Last visit: 22 Aug 2021
Posts: 9
Own Kudos:
13
 [1]
Posts: 9
Kudos: 13
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
amanvermagmat
User avatar
Retired Moderator
Joined: 22 Aug 2013
Last visit: 28 Mar 2025
Posts: 1,161
Own Kudos:
2,741
 [3]
Given Kudos: 480
Location: India
Posts: 1,161
Kudos: 2,741
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Manoraaju
Dear Sir,

Kind explanation on statement 2 please?

Hi

To understand statement 2, one thing that must be clear is that if a number has exactly 2 positive factors, then it must be a prime number.
A prime number has 2 positive factors: 1 and n (i.e., 1 and itself) - and NO other factor.
Also you should know that lowest prime number is '2' which is the ONLY EVEN prime number. All other prime numbers:
3, 5, 7, 11, 13, .... are ODD.

Now Statement 2. Given that LCM of n and (n+10) is Even. Notice that n and (n+10) will either Both be Even or Both be Odd.
If both are odd, then their LCM will be Odd only (LCM of two Odd numbers can Never be Even).

This means both n and (n+10) have to be even, which is Only possible when n=2. So Sufficient.

Hope you got it.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 11 July 2025
Posts: 102,635
Own Kudos:
740,484
 [1]
Given Kudos: 98,171
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,635
Kudos: 740,484
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
User avatar
nivivacious
Joined: 10 Mar 2015
Last visit: 18 Aug 2024
Posts: 243
Own Kudos:
Given Kudos: 175
Location: India
Concentration: Strategy, Marketing
GPA: 3.5
WE:Advertising (Advertising and PR)
Posts: 243
Kudos: 283
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If a positive integer \(n\) has exactly two positive factors, what is the value of \(n\)?



(1) \(\frac{n}{2}\) is one of the factors of \(n\).

(2) The lowest common multiple of \(n\) and \(n + 10\) is an even number.


If n has exactly 2 positive factors, it tells me n is prime.
1) 2/m is one of the factors - only prime number that will give answer to this is 2 so sufficient
2) LCM (n, n+10) is even.. again only way this will work is if n=2 so sufficient

Hence D : Each are sufficient
Moderators:
Math Expert
102635 posts
Founder
41090 posts