Last visit was: 10 Jul 2025, 04:36 It is currently 10 Jul 2025, 04:36
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
Sub 505 Level|   Remainders|            
User avatar
HKD1710
User avatar
Retired Moderator
Joined: 22 Jun 2014
Last visit: 26 Feb 2021
Posts: 963
Own Kudos:
4,383
 [25]
Given Kudos: 182
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE:Information Technology (Computer Software)
GMAT 1: 540 Q45 V20
Posts: 963
Kudos: 4,383
 [25]
Kudos
Add Kudos
25
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 10 Jul 2025
Posts: 16,101
Own Kudos:
74,237
 [12]
Given Kudos: 475
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,101
Kudos: 74,237
 [12]
7
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
User avatar
dave13
Joined: 09 Mar 2016
Last visit: 23 Nov 2024
Posts: 1,114
Own Kudos:
1,087
 [8]
Given Kudos: 3,851
Posts: 1,114
Kudos: 1,087
 [8]
4
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
General Discussion
avatar
Sriharsh
Joined: 28 Oct 2017
Last visit: 07 Feb 2019
Posts: 7
Own Kudos:
54
 [4]
Given Kudos: 14
Posts: 7
Kudos: 54
 [4]
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
Since 6q+3=n where q is the quotient, n-3 is a multiple of 6.

Now, 6q+6=n+3, so n+3 is also a multiple.

2 x (6q-3)=2n is also a multiple, so it 4n

We can see that only 3n is not a multiple.

Posted from my mobile device
User avatar
gracie
Joined: 07 Dec 2014
Last visit: 11 Oct 2020
Posts: 1,035
Own Kudos:
Given Kudos: 27
Posts: 1,035
Kudos: 1,859
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Quote:
When the integer n is divided by 6, the remainder is 3, Which of the following is NOT a multiple of 6?

(A) n – 3
(B) n + 3
(C) 2n
(D) 3n
(E) 4n

n=6q+3→
3n=18q+9
18q is a multiple of 6
9 is not a multiple of 6
so 18q+9 is not a multiple of 6
3n
D
User avatar
bhavika01
User avatar
Current Student
Joined: 24 Apr 2019
Last visit: 01 Sep 2022
Posts: 11
Own Kudos:
Given Kudos: 23
Location: India
Concentration: International Business, Entrepreneurship
GPA: 3.2
Posts: 11
Kudos: 1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
dave13
HKD1710
When the integer n is divided by 6, the remainder is 3, Which of the following is NOT a multiple of 6?

(A) n – 3
(B) n + 3
(C) 2n
(D) 3n
(E) 4n
 
The integer n is divided by 6, the remainder is 3

This meabs that \(n = 6q+3\)

If n is divided by even number and leaves remainder it means that N is ODD number

to prove this just plug any numbers for q

n=9= 6(1)+3

now test 9 in aswer choices

(A) 9 – 3 = 6 (MULTIPLE OF 6)
(B) 9 + 3=12 (MULTIPLE OF 6)
(C) 2(9)=18 (MULTIPLE OF 6)
(D) 3(9)= 27 ( 27 IS NOT MULTIPLE OF 6 )
(E) 4 (9) =36 (MULTPLE OF 6)

IMO: D :grin:
What about 20? if 20/6, it still leaves a remainder but 20 ain't odd. Can anyone explain?­
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,078
Own Kudos:
18,728
 [1]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,078
Kudos: 18,728
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
n is divided by 6, the remainder is 3 => n = 3 [3 = 0 * 1 + 3]

=> 3 - 3 = 0 and 3 + 3 = 6 is multiple of 6. (Option A and B)

=> 2 * 3 = 6 and 4 * 3 = 12 is multiple of 6. (Option C and D)

=> 3 * 3 = 9 is not multiple of 6 - (Option D)

Answer D
User avatar
Crytiocanalyst
Joined: 16 Jun 2021
Last visit: 27 May 2023
Posts: 951
Own Kudos:
Given Kudos: 309
Posts: 951
Kudos: 202
Kudos
Add Kudos
Bookmarks
Bookmark this Post
HKD1710
When the integer n is divided by 6, the remainder is 3, Which of the following is NOT a multiple of 6?

(A) n – 3
(B) n + 3
(C) 2n
(D) 3n
(E) 4n

let us plug in and check
let n=21
18 is dvisible by 6 therefore A is out
24 is divisible therefore B is out
63 is bot divisible by 6
84 is divisible by 6 therefore out

hence IMO D
User avatar
BrushMyQuant
Joined: 05 Apr 2011
Last visit: 10 Jul 2025
Posts: 2,243
Own Kudos:
Given Kudos: 100
Status:Tutor - BrushMyQuant
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
Posts: 2,243
Kudos: 2,458
Kudos
Add Kudos
Bookmarks
Bookmark this Post
When the integer n is divided by 6, the remainder is 3

Dividend = Divisor * Quotient + Remainder

=> n = 6*k + 3 (where k is an integer)
=> n = 6k + 3

Let's take each option choice and substitute the value of n and check which one is NOT a multiple of 6

(A) n – 3 = 6k + 3 - 3 = 6k => TRUE, it is a multiple of 6

(B) n + 3 = 6k + 3 + 3 = 6k + 6 => TRUE, it is a multiple of 6

(C) 2n = 2 * (6k + 3) = 12k + 6 => TRUE, it is a multiple of 6

(D) 3n = 3 * (6k + 3) = 18k + 9 => FALSE, NOT a multiple of 6

(E) 4n = 4 * (6k + 3) = 24k + 12 => TRUE, it is a multiple of 6


So, Answer will be D
Hope it helps!

Watch the following video to MASTER Remainders

Moderators:
Math Expert
102612 posts
PS Forum Moderator
684 posts