Last visit was: 10 Sep 2026, 21:14 It is currently 10 Sep 2026, 21:14
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
User avatar
shapla
User avatar
Joined: 29 Aug 2013
Last visit: 10 Dec 2025
Posts: 33
Own Kudos:
111
 [9]
Given Kudos: 48
Location: Bangladesh
GPA: 3.76
WE:Supply Chain Management (Transportation)
Posts: 33
Kudos: 111
 [9]
If n is a positive integer, is n/18 an integer? 12 Mar 2016, 10:04
Kudos
Add Kudos
9
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

67% (01:00) correct 33% (01:11) wrong based on 95 sessions

History

Date
Time
Result
Not Attempted Yet
If n is a positive integer, is n/18 an integer?

(1) 5n/18 is an integer.

(2) 3n/18 is an integer.
ShowHide Answer
Official Answer
A
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 10 Sep 2026
Posts: 11,291
Own Kudos:
46,137
 [1]
Given Kudos: 339
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,291
Kudos: 46,137
 [1]
If n is a positive integer, is n/18 an integer? 12 Mar 2016, 10:35
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
shapla
If n is a positive integer, is n/18 an integer?

(1) 5n/18 is an integer.

(2) 3n/18 is an integer.
Show more

Hi,
If n is the multiple of 18 ,ans is yes..

Let's see the statements
1) 5n/18 is integer
Since 5 and 18 are coprimes, n must be a multiple of 18..
Suff

2) 3n/18 is an integer.
Since 3 and18 are not coprimes, n may or may not be multiple of 18..
Insuff.

Ans A
avatar
vardhanindaram
avatar
Joined: 03 Mar 2016
Last visit: 23 Jun 2016
Posts: 13
Own Kudos:
51
Given Kudos: 5
Location: India
Schools: ISB '19
Schools: ISB '19
Posts: 13
Kudos: 51
If n is a positive integer, is n/18 an integer? 12 Mar 2016, 10:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Option 1 is not alone enough and the answer is C.Please refer to similar questions for explanation
User avatar
Kritisood
User avatar
Joined: 21 Feb 2017
Last visit: 09 Jul 2026
Posts: 484
Own Kudos:
1,344
 [1]
Given Kudos: 1,089
Location: India
GMAT 1: 700 Q47 V39
Products:
My Reviews
GMAT 1: 700 Q47 V39
Posts: 484
Kudos: 1,344
 [1]
If n is a positive integer, is n/18 an integer? 14 May 2020, 11:45
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Manhattan OE:

(1) SUFFICIENT: We are told that 5n/18 is an integer. This allows us to determine that n/18 is an integer—in order for 5n to be divisible by 18, 5n must contain all the prime factors of 18 (3, 3, and 2). Since 5 does not contain any of these prime factors, n must contain ALL of them. Therefore, n has 3, 3, and 2 as prime factors, so n is divisible by 18, and n/18 is an integer.

(2) INSUFFICIENT: We are told that 3n/18 is an integer. This does not allow us to determine that n/18 is an integer—in order for 3n to be divisible by 18, 3n must contain all the prime factors of 18 (3, 3, and 2). However, 3 contains one of those prime factors (3), so n might only contain a 3 and a 2. Therefore, we cannot determine whether n has 3, 3, and 2 as prime factors, so n might not be divisible by 18 and n/18 might not be an integer. (For example, n could equal 6, or it could equal 18.)

The correct answer is A.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,214
Own Kudos:
1,158
Posts: 39,214
Kudos: 1,158
If n is a positive integer, is n/18 an integer? 22 Jun 2024, 19:48
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.
Moderator:
Bunuel
Math Expert
113419 posts