Last visit was: 23 Apr 2026, 20:23 It is currently 23 Apr 2026, 20:23
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
Back to Forum
Create Topic
505-555 (Easy)|   Algebra|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,785
Own Kudos:
810,878
 [9]
Given Kudos: 105,853
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,785
Kudos: 810,878
 [9]
If (n + 2)!/n! = 156, what is the value n ? 19 May 2023, 04:30
1
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

86% (01:39) correct 14% (01:55) wrong based on 179 sessions

History

Date
Time
Result
Not Attempted Yet
If n is a positive integer, and (n + 2)!/n! = 156, what is the value n ?

A. 2/131
B. 9
C. 10
D. 11
E. 12
ShowHide Answer
Official Answer
D
User avatar
Nabneet
User avatar
Joined: 27 Dec 2022
Last visit: 19 Aug 2024
Posts: 105
Own Kudos:
120
 [3]
Given Kudos: 40
Location: India
GMAT 1: 550 Q47 V20
WE:Other (Other)
GMAT 1: 550 Q47 V20
Posts: 105
Kudos: 120
 [3]
If (n + 2)!/n! = 156, what is the value n ? 19 May 2023, 06:41
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If (n + 2)!/n! = 156, what is the value n ?

A. 2/131
B. 9
C. 10
D. 11
E. 12
Show more

\(\frac{(n+2)!}{n!}= 156\)

\(\frac{(n+2)(n+1)n!}{n!}= 156\)

\((n+2)(n+1)= 156\)

So, \(n = 11\),

Answer D
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,903
Own Kudos:
5,452
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,903
Kudos: 5,452
If (n + 2)!/n! = 156, what is the value n ? 19 May 2023, 07:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If (n + 2)!/n! = 156, what is the value n ?

A. 2/131
B. 9
C. 10
D. 11
E. 12
Show more
\(\frac{(n + 2)!}{n!}\)

Or, \(\frac{(n+2)(n+1)n!}{n!} = 12*13\)

so, \(n = 11\), Answer must be (D) 11
User avatar
TheBipedalHorse
User avatar
Joined: 16 Jun 2021
Last visit: 12 Dec 2023
Posts: 105
Own Kudos:
37
Given Kudos: 98
Posts: 105
Kudos: 37
If (n + 2)!/n! = 156, what is the value n ? 19 May 2023, 22:28
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If (n + 2)!/n! = 156, what is the value n ?

A. 2/131
B. 9
C. 10
D. 11
E. 12

the left hand side evaluates to (n+2)(n+1) = 156

If you imagine N such that N = n+1, then this expression becomes N*(N+1)=156

Or

Product of two consecutive numbers must be equal to 156. From the option choices -

A - 2/131 and 1 + 2/131 will never give 6 in the units digit
B - product of 9 and 10 (which is N+1 here) does not give 6 in the units digit
C - product of 10 and 11 (which is N+1 here) does not give 6 in the units digit
D - rejected on the same grounds
E - 12 (Bingo, 12 and 13 does give 6 in the units digit)

So, N must be 12, which means n+1 = 12 or N = 11
User avatar
divyadna
User avatar
Joined: 21 Dec 2021
Last visit: 30 Jan 2024
Posts: 311
Own Kudos:
330
Given Kudos: 242
Posts: 311
Kudos: 330
If (n + 2)!/n! = 156, what is the value n ? 30 May 2023, 06:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(n+2)!/n!= (n+2)(n+1)(n!)/n!=(n+2)(n+1)=156

Factorise 156.
156= 13*12

(11+2)*(11+1)=156
n=11

Posted from my mobile device
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,960
Own Kudos:
1,117
Posts: 38,960
Kudos: 1,117
If (n + 2)!/n! = 156, what is the value n ? 03 Oct 2025, 08:25
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:
Bunuel
Math Expert
109785 posts
Krunaal
Tuck School Moderator
853 posts