GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Feb 2019, 13:11

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
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

If n is a positive integer, which one of the following numbers

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Senior Manager
Senior Manager
User avatar
B
Joined: 10 Mar 2013
Posts: 498
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
GMAT ToolKit User
If n is a positive integer, which one of the following numbers  [#permalink]

Show Tags

New post 06 Feb 2016, 11:48
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:25) correct 25% (01:48) wrong based on 129 sessions

HideShow timer Statistics

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

_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

Most Helpful Community Reply
CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2629
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: If n is a positive integer, which one of the following numbers  [#permalink]

Show Tags

New post 06 Feb 2016, 13:07
3
2
BrainLab wrote:
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
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13577
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If n is a positive integer, which one of the following numbers  [#permalink]

Show Tags

New post 09 Feb 2016, 19:27
1
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:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 554
Schools: Cambridge'16
Re: If n is a positive integer, which one of the following numbers  [#permalink]

Show Tags

New post 22 Feb 2016, 22:43
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
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1154
Re: If n is a positive integer, which one of the following numbers  [#permalink]

Show Tags

New post 09 Apr 2018, 12:08
BrainLab wrote:
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
GMAT Club Bot
Re: If n is a positive integer, which one of the following numbers   [#permalink] 09 Apr 2018, 12:08
Display posts from previous: Sort by

If n is a positive integer, which one of the following numbers

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.