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

It is currently 22 Jul 2014, 20:27

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

What is the remainder when the positive integer n is divided

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 29 Aug 2005
Posts: 881
Followers: 7

Kudos [?]: 138 [0], given: 7

GMAT Tests User
What is the remainder when the positive integer n is divided [#permalink] New post 07 Nov 2008, 15:43
1
This post was
BOOKMARKED
What is the remainder when the positive integer n is divided by the positive integer k,
where k > 1?
(1) n = (k+1)^3
(2) k = 5

Last edited by seofah on 24 Jan 2009, 11:24, edited 1 time in total.
Intern
Intern
User avatar
Joined: 14 Sep 2003
Posts: 46
Location: california
Followers: 1

Kudos [?]: 14 [0], given: 0

Re: GMAT Set 31- 29 [#permalink] New post 07 Nov 2008, 15:55
both n and k are positive.

dividing (1) by K, we get n/k = 3 + 3/k. Not sufficient enough to answer what the reminder is. So throw out choices A and D

with (2), we only know the value of k, so can't find out what the remainder is. So throw out choice B.

The 2 statements toegther give us n = (5+1)3 = 18 and k = 5. We can definitely say what the remainder is with the 2 statements together. So my pick Choice C

_________________

excellence is the gradual result of always striving to do better

Director
Director
avatar
Joined: 29 Aug 2005
Posts: 881
Followers: 7

Kudos [?]: 138 [0], given: 7

GMAT Tests User
Re: GMAT Set 31- 29 [#permalink] New post 08 Nov 2008, 02:44
I thought, it was C as well, but OA isn't C!
Manager
Manager
avatar
Joined: 14 Oct 2008
Posts: 160
Followers: 1

Kudos [?]: 24 [0], given: 0

Re: GMAT Set 31- 29 [#permalink] New post 08 Nov 2008, 03:37
That is strange, I had thought it to be C as well. But there is one thing i have noticed.
When k=2 remainder =1,
k=3 r=0
for k =>4 , r=3

But what difference does it make ! The QA c makes sense, else i has to be E.
Director
Director
avatar
Joined: 29 Aug 2005
Posts: 881
Followers: 7

Kudos [?]: 138 [0], given: 7

GMAT Tests User
Re: GMAT Set 31- 29 [#permalink] New post 24 Jan 2009, 11:26
There was a a small typo in the question :?
I got the answer that is in line with OA, but any attempts are welcome. :)
Current Student
avatar
Joined: 28 Dec 2004
Posts: 3405
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 149 [0], given: 2

GMAT Tests User
Re: GMAT Set 31- 29 [#permalink] New post 24 Jan 2009, 11:42
I get A..

What is the remainder when the positive integer n is divided by the positive integer k,
where k > 1?
(1) n = (k+1)^3
(2) k = 5


2) insuff..

1) n= (K+1)(K+1)^2= (K+1)(K^2+2k+1)= K^3+3K^2+K+3K+1

as you can N= will always be 1 greater than K..

therefore 1 is the remainder...

1 is suff
Intern
Intern
avatar
Joined: 19 Aug 2008
Posts: 4
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: GMAT Set 31- 29 [#permalink] New post 24 Jan 2009, 12:22
A. You can pick k=2, k=3, k=4 and you'll see that the remainder is always 1.
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1829
Location: New York
Followers: 25

Kudos [?]: 427 [0], given: 5

GMAT Tests User
Re: GMAT Set 31- 29 [#permalink] New post 24 Jan 2009, 14:55
fresinha12 wrote:
I get A..

What is the remainder when the positive integer n is divided by the positive integer k,
where k > 1?
(1) n = (k+1)^3
(2) k = 5


2) insuff..

1) n= (K+1)(K+1)^2= (K+1)(K^2+2k+1)= K^3+3K^2+K+3K+1

as you can N= will always be 1 greater than K..

therefore 1 is the remainder...

1 is suff


agree with this solution

_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Manager
Manager
avatar
Joined: 04 Jan 2009
Posts: 243
Followers: 1

Kudos [?]: 9 [0], given: 0

GMAT Tests User
Re: GMAT Set 31- 29 [#permalink] New post 24 Jan 2009, 15:56
botirvoy wrote:
What is the remainder when the positive integer n is divided by the positive integer k,
where k > 1?
(1) n = (k+1)^3
(2) k = 5



k=2,5 can be used to test. The remainder is always 1.
Rigorous proof is as follows:
n=k^3+3k^2+3k+1
Remainder is clearly 1.
1 is sufficient and hence A.

_________________

-----------------------
tusharvk

Re: GMAT Set 31- 29   [#permalink] 24 Jan 2009, 15:56
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic What is the remainder when the positive integer n is divided pierrealexandre77 8 17 Nov 2009, 09:50
Experts publish their posts in the topic What is the remainder when the positive integer n is divided marcodonzelli 6 26 Jan 2008, 08:04
What is the remainder when the positive integer n is divided Balvinder 5 24 May 2007, 05:46
What is the remainder when positive Integer n is divided by GmatInstinct 2 25 Sep 2006, 16:01
What is the remainder when the positive integer n is divided mandy 9 03 Aug 2005, 05:35
Display posts from previous: Sort by

What is the remainder when the positive integer n is divided

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.