Last visit was: 21 Apr 2026, 07:33 It is currently 21 Apr 2026, 07:33
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
jwin125
User avatar
Joined: 27 Feb 2018
Last visit: 17 Aug 2018
Posts: 3
Own Kudos:
61
 [8]
Given Kudos: 7
Posts: 3
Kudos: 61
 [8]
When a class of n students is divided into groups of 6 students each, Updated on: 15 Mar 2018, 08:39
Originally posted by jwin125 on 14 Mar 2018, 18:54.
Last edited by Bunuel on 15 Mar 2018, 08:39, edited 3 times in total.
added choices and OA
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

73% (02:01) correct 27% (02:19) wrong based on 203 sessions

History

Date
Time
Result
Not Attempted Yet
When a class of n students is divided into groups of 6 students each, 2 students are left without a group. When the class is divided into groups of 8 students each, 4 students are left without a group. What is the smallest number of students that can be added to or removed from the class so that the resulting number of students can be equally divided into groups of 12 students each?

(A) 2
(B) 4
(C) 8
(D) 10
(E) 12
ShowHide Answer
Official Answer
B
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 18 Apr 2026
Posts: 11,230
Own Kudos:
44,981
 [4]
Given Kudos: 335
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: 11,230
Kudos: 44,981
 [4]
When a class of n students is divided into groups of 6 students each, 14 Mar 2018, 19:22
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
jwin125
When a class of n students is divided into groups of 6 students each, 2 students are left without a group. When the class is divided into groups of 8 students each, 4 students are left without a group. What is the smallest number of students that can be added to or removed from the class so that the resulting number of students can be equally divided into groups of 12 students each?
Show more


Please follow the rules and so not miss out on giving choices..

Our requirement is that the final number has to be MULTIPLE of 3 and 4

Given..
\(n=6x+2\)... so n is a multiple of 2 but not of 3... Example 2,8,14,20,26,32,38,44,50
\(n=8y+4\)... n is surely a multiple of 4.. example 4,12,20,28,36,44,52

So numbers are \(20+24a...\)
Also we can get this from (FIRSTCommon Number+LCM of 6,8)

When you divide (20+24a) by 12, 24a is div by 12 and 20 gives a remainder of 8..
So we can add 4 or remove 8 to get n div by 12..
Least is 4..
Ans is 4
avatar
[email protected]
avatar
Joined: 19 Nov 2019
Last visit: 21 Mar 2020
Posts: 1
Own Kudos:
1
 [1]
Given Kudos: 17
Posts: 1
Kudos: 1
 [1]
When a class of n students is divided into groups of 6 students each, 12 Jan 2020, 11:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
n= 6a+2=8b+4
n=6(a+1)-4=8(b+1)-4
6(a+1)=8(b+1)
a=7,b=5
so, n=44 if you put a or b in the equation back and in order make n divisible by 12 you have to add 4
so the result is 4
User avatar
antartican
User avatar
Joined: 10 Jan 2016
Last visit: 23 Sep 2022
Posts: 65
Own Kudos:
13
 [3]
Given Kudos: 44
Location: United Kingdom
Schools: IIMA PGPX'22 ISB'22 Oxford "21 (A) Cambridge "21 (S)
GMAT 1: 680 Q48 V35
GMAT 2: 700 Q49 V37
Schools: IIMA PGPX'22 ISB'22 Oxford "21 (A) Cambridge "21 (S)
GMAT 2: 700 Q49 V37
Posts: 65
Kudos: 13
 [3]
When a class of n students is divided into groups of 6 students each, Updated on: 12 Jan 2020, 15:38
Originally posted by antartican on 12 Jan 2020, 13:20.
Last edited by antartican on 12 Jan 2020, 15:38, edited 1 time in total.
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
jwin125
When a class of n students is divided into groups of 6 students each, 2 students are left without a group. When the class is divided into groups of 8 students each, 4 students are left without a group. What is the smallest number of students that can be added to or removed from the class so that the resulting number of students can be equally divided into groups of 12 students each?

(A) 2
(B) 4
(C) 8
(D) 10
(E) 12
Show more


Usually these questions follow a simple pattern and life would be easier if you follow them .
n=6a+2 => so the number would be 2,8,14,20
n=8b+4 => so the numbers could be 4,12,20

Since 20 is the first common number, n will be 20 .
Add 4 to make it divisible by 12.
so the answer is 4 i.e. (B)
User avatar
gracie
User avatar
Joined: 07 Dec 2014
Last visit: 11 Oct 2020
Posts: 1,028
Own Kudos:
2,018
Given Kudos: 27
Posts: 1,028
Kudos: 2,018
When a class of n students is divided into groups of 6 students each, 12 Jan 2020, 15:19
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jwin125
When a class of n students is divided into groups of 6 students each, 2 students are left without a group. When the class is divided into groups of 8 students each, 4 students are left without a group. What is the smallest number of students that can be added to or removed from the class so that the resulting number of students can be equally divided into groups of 12 students each?

(A) 2
(B) 4
(C) 8
(D) 10
(E) 12
Show more

n=6q+2
n=8p+4
→3q-4p=1
least values of q and p are 3 and 2 respectively
n=20
(2*12)-20=4
B
avatar
Fayzulla
avatar
Joined: 28 Dec 2020
Last visit: 01 Dec 2021
Posts: 4
Own Kudos:
2
Given Kudos: 9
Posts: 4
Kudos: 2
When a class of n students is divided into groups of 6 students each, 02 Feb 2021, 12:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jwin125
When a class of n students is divided into groups of 6 students each, 2 students are left without a group. When the class is divided into groups of 8 students each, 4 students are left without a group. What is the smallest number of students that can be added to or removed from the class so that the resulting number of students can be equally divided into groups of 12 students each?

(A) 2
(B) 4
(C) 8
(D) 10
(E) 12
Show more

k=6q+2
k=8n+4

So what are the multiples of 6 which has 2 remainder when devided by 6 ?
they are 8, 14, 20

What are the multiples of 8 which has 4 remainder when devided by 8?
they are 12, 20, 28

As you can see 20 is the same in both cases, so let's consider k as a 20

So, what is lowest value that should be added/minused so that it can be divided by 12

of course 4, becuase 20+4=24 and it can be divided by twelve.

answer 4
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,943
Own Kudos:
1,117
 [1]
Posts: 38,943
Kudos: 1,117
 [1]
When a class of n students is divided into groups of 6 students each, 27 Oct 2025, 19:53
1
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
109724 posts
Krunaal
Tuck School Moderator
853 posts