Last visit was: 10 Jul 2025, 10:56 It is currently 10 Jul 2025, 10:56
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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 Level|   Remainders|      
User avatar
BrainLab
User avatar
Current Student
Joined: 10 Mar 2013
Last visit: 26 Jan 2025
Posts: 350
Own Kudos:
3,009
 [5]
Given Kudos: 200
Location: Germany
Concentration: Finance, Entrepreneurship
Schools: WHU MBA"20 (A$)
GMAT 1: 580 Q46 V24
GPA: 3.7
WE:Marketing (Telecommunications)
Schools: WHU MBA"20 (A$)
GMAT 1: 580 Q46 V24
Posts: 350
Kudos: 3,009
 [5]
If n is a positive integer, which one of the following numbers 06 Feb 2016, 12:48
1
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
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:

80% (01:23) correct 20% (01:49) wrong based on 188 sessions

History

Date
Time
Result
Not Attempted Yet
If n is a positive integer, which one of the following numbers must have a remainder of 3 when
divided by any of the numbers 4, 5, and 6?

(A) 12n + 3
(B) 24n + 3
(C) 80n + 3
(D) 90n + 2
(E) 120n + 3

Source: GMAT Math Bible
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
ENGRTOMBA2018
User avatar
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,329
Own Kudos:
3,787
 [7]
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
My Reviews
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
Posts: 2,329
Kudos: 3,787
 [7]
If n is a positive integer, which one of the following numbers 06 Feb 2016, 14:07
3
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
BrainLab
If n is a positive integer, which one of the following numbers must have a remainder of 3 when
divided by any of the numbers 4, 5, and 6?

(A) 12n + 3
(B) 24n + 3
(C) 80n + 3
(D) 90n + 2
(E) 120n + 3

Source: GMAT Math Bible

Out of the given options, the correct answer will be the one having the divisor a multiple of 4,5,6 in order for all 3 of these give the same remainder.

LCM of 4,5,6 = 60.

Out of the given options only option E can be written in the form of multiple of 60 for the divisor as 2*60*n+3

E is thus the correct answer.

Hope this helps.
General Discussion
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,788
Own Kudos:
12,488
 [1]
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,788
Kudos: 12,488
 [1]
If n is a positive integer, which one of the following numbers 09 Feb 2016, 20:27
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi BrainLab,

This question can be solved by TESTing VALUES and a bit of arithmetic.

We're told that N is a POSITIVE INTEGER. We're asked which of the following numbers MUST have a remainder of 3 when divided by any of the numbers 4, 5, and 6?

Let's TEST N=1

A) 12N + 3 = 15 --> 15/5 = 3r0. This is NOT a match
B) 24N + 3 = 27 --> 27/5 = 5r2. This is NOT a match
C) 80N + 3 = 83 --> 83/6 = 13r5. This is NOT a match
D) 90N + 2 = 92 --> 92/5 = 18r2. This is NOT a match

There's only one answer left...

Final Answer:
Show Spoiler
E

GMAT assassins aren't born, they're made,
Rich
User avatar
Temurkhon
User avatar
Joined: 23 Jan 2013
Last visit: 06 Apr 2019
Posts: 413
Own Kudos:
303
 [1]
Given Kudos: 43
Schools: Cambridge'16
Schools: Cambridge'16
Posts: 413
Kudos: 303
 [1]
If n is a positive integer, which one of the following numbers 22 Feb 2016, 23:43
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
12=(2*2*3)n+3
24=(2*2*2*3)n+3
80=(5*2*2*2*2)n+3
90=(5*2*3*3)n+2
120=(5*2*2*2*3)n+3

for 4: all gives remainder 3 exc. D with remainder 0, D out
for 5: A and B gives remainder 0 and 2, respectively, so they out
for 6: E gives remander 3

E
User avatar
gracie
User avatar
Joined: 07 Dec 2014
Last visit: 11 Oct 2020
Posts: 1,035
Own Kudos:
1,859
 [1]
Given Kudos: 27
Posts: 1,035
Kudos: 1,859
 [1]
If n is a positive integer, which one of the following numbers 09 Apr 2018, 13:08
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
BrainLab
If n is a positive integer, which one of the following numbers must have a remainder of 3 when
divided by any of the numbers 4, 5, and 6?

(A) 12n + 3
(B) 24n + 3
(C) 80n + 3
(D) 90n + 2
(E) 120n + 3

Source: GMAT Math Bible

4*5*6=120
E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,375
Own Kudos:
1,010
Posts: 37,375
Kudos: 1,010
If n is a positive integer, which one of the following numbers 18 Nov 2022, 22:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Bunuel
Math Expert
102623 posts
Krunaal
PS Forum Moderator
685 posts