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

It is currently 25 Oct 2014, 08:21

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 and k are positive integers, is n divisible by 6?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
SVP
SVP
avatar
Joined: 21 Jul 2006
Posts: 1551
Followers: 8

Kudos [?]: 236 [0], given: 1

If n and k are positive integers, is n divisible by 6? [#permalink] New post 27 Aug 2009, 16:15
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

59% (01:31) correct 41% (00:23) wrong based on 97 sessions
If n and k are positive integers, is n divisible by 6?

(1) n = k(k + 1)(k - 1)

(2) k – 1 is a multiple of 3
[Reveal] Spoiler: OA
1 KUDOS received
Manager
Manager
avatar
Joined: 25 Aug 2009
Posts: 177
Followers: 1

Kudos [?]: 61 [1] , given: 12

Re: Is n divisible by 6? [#permalink] New post 27 Aug 2009, 16:22
1
This post received
KUDOS
1.) Sufficient

Always remember, when 3 consecutive integers are multiplied, then one should be a multiple of 3 and atleast one (or max 2) number is even. Also, if the multiple of 3 is also the even number like 6, 12, 18 then it is divisible by 6 always..

For ex:- 1*2*3 ; -4*-5*-6 ; 4*5*6 ; 11*12*13..


In any case; the product would be divisible by 6.

2.) insufficient.. does not say anything about n..

Ans. A
Manager
Manager
avatar
Joined: 28 Jul 2009
Posts: 126
Location: India
Schools: NUS, NTU, SMU, AGSM, Melbourne School of Business
Followers: 6

Kudos [?]: 55 [0], given: 12

Re: Is n divisible by 6? [#permalink] New post 27 Aug 2009, 20:47
tarek99 wrote:
If n and k are positive integers, is n divisible by 6?

(1) n = k(k + 1)(k - 1)
(2) k – 1 is a multiple of 3

Please explain your answer.
Thanks


My answer would be A.
Since n = product of 3 consecutive numbers, it will be divisible by 3. We should also remember that 0 is also a multiple of 6. For eg : if k = 1,
n = 1*2*0 => n = 0 which IS divisible by 6.

I hope I am right. "0 is divisible by any number" right?
_________________

GMAT offended me. Now, its my turn!
Will do anything for Kudos! Please feel free to give one. :)

Manager
Manager
avatar
Joined: 09 Aug 2009
Posts: 56
Followers: 1

Kudos [?]: 4 [0], given: 1

Re: Is n divisible by 6? [#permalink] New post 27 Aug 2009, 22:50
(1) n = k(k + 1)(k - 1) --- Sufficient
(2) k – 1 is a multiple of 3 --- insufficient
Manager
Manager
User avatar
Joined: 18 Jul 2009
Posts: 170
Location: India
Schools: South Asian B-schools
Followers: 2

Kudos [?]: 62 [0], given: 37

Re: Is n divisible by 6? [#permalink] New post 28 Aug 2009, 02:30
bhanushalinikhil wrote:
tarek99 wrote:
If n and k are positive integers, is n divisible by 6?

(1) n = k(k + 1)(k - 1)
(2) k – 1 is a multiple of 3

Please explain your answer.
Thanks


My answer would be A.
Since n = product of 3 consecutive numbers, it will be divisible by 3. We should also remember that 0 is also a multiple of 6. For eg : if k = 1,
n = 1*2*0 => n = 0 which IS divisible by 6.

I hope I am right. "0 is divisible by any number" right?


I slightly differ on your explination......specially if k = 1...

If k = 1 then n = 0*1*2 then n = 0 ... zero is not a positive integer hence all values of k will start from 2 onwards
hence values of n will start from 6 onwards.....but yes your ans is right A it is
_________________

Bhushan S.
If you like my post....Consider it for Kudos :-D

Manager
Manager
avatar
Joined: 28 Jul 2009
Posts: 126
Location: India
Schools: NUS, NTU, SMU, AGSM, Melbourne School of Business
Followers: 6

Kudos [?]: 55 [0], given: 12

Re: Is n divisible by 6? [#permalink] New post 28 Aug 2009, 03:35
bhushan252 wrote:
bhanushalinikhil wrote:
tarek99 wrote:
If n and k are positive integers, is n divisible by 6?

(1) n = k(k + 1)(k - 1)
(2) k – 1 is a multiple of 3

Please explain your answer.
Thanks


My answer would be A.
Since n = product of 3 consecutive numbers, it will be divisible by 3. We should also remember that 0 is also a multiple of 6. For eg : if k = 1,
n = 1*2*0 => n = 0 which IS divisible by 6.

I hope I am right. "0 is divisible by any number" right?


I slightly differ on your explination......specially if k = 1...

If k = 1 then n = 0*1*2 then n = 0 ... zero is not a positive integer hence all values of k will start from 2 onwards
hence values of n will start from 6 onwards.....but yes your ans is right A it is


Right. Now see the mistake.
Thanks!
_________________

GMAT offended me. Now, its my turn!
Will do anything for Kudos! Please feel free to give one. :)

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 2863
Followers: 207

Kudos [?]: 43 [0], given: 0

Premium Member
Re: Is n divisible by 6? [#permalink] New post 15 Apr 2014, 06:54
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: Is n divisible by 6?   [#permalink] 15 Apr 2014, 06:54
    Similar topics Author Replies Last post
Similar
Topics:
18 Experts publish their posts in the topic If k is a positive integer and n = k(k + 7k), is n divisible Jem2905 11 02 Nov 2013, 13:01
If n and k are positive integers, is n divisible by 6? (1) n kapilnegi 15 29 May 2008, 12:31
If n and k are positive integers, is n divisible by 6? (1) n Balvinder 5 01 Oct 2007, 05:47
If n and k are positive integers, is n divisible by 6? (1) n TOUGH GUY 7 12 May 2006, 10:54
If n and k are positive integers, is n divisible by 6? (1) n nocilis 5 02 Feb 2005, 21:37
Display posts from previous: Sort by

If n and k are positive integers, is n divisible by 6?

  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®.