Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Jul 2014, 05:25

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If n is a positive integer and r is the remainder when 4+7n

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 21 Aug 2005
Posts: 795
Followers: 2

Kudos [?]: 5 [0], given: 0

GMAT Tests User
If n is a positive integer and r is the remainder when 4+7n [#permalink] New post 01 Oct 2005, 10:30
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:09) correct 0% (00:00) wrong based on 0 sessions
If n is a positive integer and r is the remainder when 4+7n is divided by 3, what is the value of r?

1. n+1 is divisible by 3
2. n>20
Senior Manager
Senior Manager
avatar
Joined: 30 Oct 2004
Posts: 289
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
 [#permalink] New post 01 Oct 2005, 10:49
I get A)

1) n + 1 is divisible by 3
4+7n can be written as 7n + 7 - 3 => 7(n+1)-3
Since, 7(n+1) is divisible by 3, and 3 is divisible by 3 => 4+7n is divisible by 3 with a remainder r=0

2) n>20 insuff. Depending on the value of n .. r can take multiple values.
e.g. when n = 21, remainder is 1 (4+7n = 151) and when n=23 (4+7n=165), remainder is 0.
_________________

-Vikram

Senior Manager
Senior Manager
User avatar
Joined: 14 Apr 2005
Posts: 422
Location: India, Chennai
Followers: 1

Kudos [?]: 3 [0], given: 0

GMAT Tests User
Re: DS - Divisibility [#permalink] New post 04 Oct 2005, 02:33
gsr wrote:
If n is a positive integer and r is the remainder when 4+7n is divided by 3, what is the value of r?

1. n+1 is divisible by 3
2. n>20


My answer is A.
4 + 7n can be written as (6n + 6) + (n-2), if n+1 is divisible by 3, 6n+6 is also divisible by 3.
And, if n+1 is divisible by 3, then (n-2) is also divisible by 3. Hence 4+7n is divisible by 3, and the remainder is zero.

From st2
N can take different numbers greater than 20, and will not help.

Hence the answer is A.
Re: DS - Divisibility   [#permalink] 04 Oct 2005, 02:33
    Similar topics Author Replies Last post
Similar
Topics:
If n is a positive integer and r is the remainder when 4+7n joyseychow 3 14 Aug 2009, 02:30
If n is a positive integer and r is the remainder when 4+7n udribat 8 13 Oct 2008, 18:57
If N is a positive integer and R is the remainder when 4+7N b14kumar 3 09 Sep 2007, 13:41
Experts publish their posts in the topic If n is a positive integer and r is the remainder when 4+7n forgmat 5 20 Aug 2007, 19:04
If n is a positive integer and r is the remainder when 4+7n uvs_mba 6 15 Sep 2006, 17:15
Display posts from previous: Sort by

If n is a positive integer and r is the remainder when 4+7n

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.