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

It is currently 20 Nov 2018, 10:12

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

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

Director
Director
User avatar
B
Joined: 10 Mar 2013
Posts: 512
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% (01:27) correct 25% (01:48) wrong based on 127 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: 2635
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: 12891
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: 569
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: 1117
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 &nbs [#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®.