Last visit was: 27 Apr 2026, 22:47 It is currently 27 Apr 2026, 22:47
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
uvs_mba
User avatar
Joined: 05 Jun 2005
Last visit: 27 Jul 2009
Posts: 289
Own Kudos:
73
Posts: 289
Kudos: 73
This one should be fairly easy for many of you. I guessed it 06 Nov 2006, 07:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
This one should be fairly easy for many of you. I guessed it as I was short on time and I just couldn't see a correlation. But I don't have the reasoning.

If N is a positive integer, is N! divisible by 14?

1) (N+1)! is divisible by 15
2) (N+2)! is divisible by 16



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
joeydvivre
User avatar
Joined: 01 Nov 2006
Last visit: 09 Nov 2006
Posts: 12
Own Kudos:
1
Posts: 12
Kudos: 1
This one should be fairly easy for many of you. I guessed it 06 Nov 2006, 08:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Try N = 4. 4!= 24 is not divisible by 14, but 5! = 120 is divisible by 15 and 6! is divisible by 16, so no combination of (1) and/or (2) implies the statement.
User avatar
Damager
User avatar
Joined: 01 Sep 2006
Last visit: 01 Jun 2010
Posts: 120
Own Kudos:
75
Location: Phoenix, AZ, USA
Posts: 120
Kudos: 75
This one should be fairly easy for many of you. I guessed it 06 Nov 2006, 10:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(N+1)! is divisible by 15 which is 5*3

Min n should be 4 to make it 5!= 5*4*3*2 divisble by 15

This gives N = 4 min and 4! is not divisible by 14 insuff


(N+2) is divisible by 16 - 2*4*2

N could not be 2 cause 4! can max have 4*2 need another 2

Next pssible number for N is 4

(4+2)!= 6! divisbile by 16

This give min n=4 and 4! is not didvisible by 14 insuff

Togather min n=4 insuff
User avatar
trivikram
User avatar
Joined: 28 Mar 2006
Last visit: 25 May 2018
Posts: 669
Own Kudos:
65
Posts: 669
Kudos: 65
This one should be fairly easy for many of you. I guessed it 06 Nov 2006, 17:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
uvs_mba
This one should be fairly easy for many of you. I guessed it as I was short on time and I just couldn't see a correlation. But I don't have the reasoning.

If N is a positive integer, is N! divisible by 14?

1) (N+1)! is divisible by 15
2) (N+2)! is divisible by 16
Show more


14=2*7

1)N can be 4 where (N+1)! is divisible by 15...there is no 7 here ...SO INSUFF

2) Let N=4, (N+2)! is divisible by 16 again there is no 7 here...So INSUFF

both are also INSUFF
User avatar
fmeinsen
User avatar
Joined: 18 Mar 2004
Last visit: 13 May 2007
Posts: 26
Own Kudos:
3
Posts: 26
Kudos: 3
This one should be fairly easy for many of you. I guessed it 06 Nov 2006, 17:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1) INSUFF because N+1 could be = 100 or just = 5(miniumum)
2)INSUFF because minimum here is N+2 = 6

Together it is still possible that N = 4 however N could equally be any other number higher than 4. We do not know N>=7 and therefore the answer should be E (I, think)
User avatar
tennis1ball
User avatar
Joined: 25 Jun 2006
Last visit: 18 Mar 2008
Posts: 650
Own Kudos:
1,010
Posts: 650
Kudos: 1,010
This one should be fairly easy for many of you. I guessed it 06 Nov 2006, 22:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
E.

both of the 2 conditions means N >= 4.
but the question is asking N >= 7.
User avatar
dwivedys
User avatar
Joined: 15 Jul 2004
Last visit: 02 Sep 2018
Posts: 597
Own Kudos:
765
Given Kudos: 17
Concentration: Strategy
Schools:Wharton (R2 - submitted); HBS (R2 - submitted); IIMA (admitted for 1 year PGPX)
Posts: 597
Kudos: 765
This one should be fairly easy for many of you. I guessed it 07 Nov 2006, 01:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Late but E. Took the 4 + 1 example..5! is divisible by 15 and 6! is divisible by 16. But 4! is not divisible by 14.
If you take the 14+1 and 14+2 route.. 14! is obviously divisible by 14. Hence both are insuff. E.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderators:
Bunuel
Math Expert
109948 posts
GMATBusters
GMAT Tutor
1922 posts