Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 22 May 2013, 07:11
Customize  |  Hide

Search
Register
New posts
Unanswered

If x represents the sum of all the positive three-digit

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Intern
Intern
Joined: 10 Jan 2006
Posts: 25
Followers: 0

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

If x represents the sum of all the positive three-digit [#permalink] New post 18 May 2006, 08:38
If x represents the sum of all the positive three-digit numbers that can be constructed using each of the distinct nonzero digits a, b, and c exactly once, what is the largest integer by which x must be divisible?

(A) 3
(B) 6
(C) 11
(D) 22
(E) 222
Manager
Manager
Joined: 28 Mar 2006
Posts: 158
Followers: 1

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

 [#permalink] New post 18 May 2006, 09:43
E it is...I solved b taking numbers..1 2 3 ...
cross checked again by taking 1 2 n 4
Senior Manager
Senior Manager
Joined: 15 Mar 2005
Posts: 432
Location: Phoenix
Followers: 1

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

GMAT Tests User
Re: Nice one [#permalink] New post 18 May 2006, 10:33
For a, b and c, sum of possible 3! = 6 numbers is
abc + acb + bac + bca + cab + cba
= 100a + 10b+ c + 100a + 10c + b + 100b + 10a + c + 100b + 10c + a + 100c + 10a + b + 100c + 10b +a
= 222(a+b+c).

Hence E.
_________________

Who says elephants can't dance?

CEO
CEO
User avatar
Joined: 20 Nov 2005
Posts: 2934
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 7

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

GMAT Tests User
 [#permalink] New post 18 May 2006, 11:03
Number is 2*(a+b+c) + 2*10 (a+b+c) + 2*100 (a+b+c) = (2+20+200) (a+b+c) = 222 (a+b+c) Hence E is the answer.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Director
Director
User avatar
Joined: 16 Aug 2005
Posts: 950
Location: France
Followers: 1

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

GMAT Tests User
 [#permalink] New post 18 May 2006, 11:04
yes E it is. Question can confuse a lot of people if they are not confident (like me). I had no clue and started writing some stuff...then watched it getting easy...
Director
Director
User avatar
Joined: 24 Oct 2005
Posts: 666
Location: London
Followers: 1

Kudos [?]: 6 [0], given: 0

GMAT Tests User
 [#permalink] New post 19 May 2006, 03:16
I prefer using nos for this.

Take nos 1, 2, 3

The diff 3 digit nos that can be formed are
123, 132, 213, 231, 213, 321
Sum = 1332.

222 is divisible.

Hence E
  [#permalink] 19 May 2006, 03:16
    Similar topics Author Replies Last post
Similar
Topics:
 New posts If x represents the sum of all the positive three-digit vshaunak@gmail.com 5 03 Aug 2007, 02:56
New posts If x represents the sum of all the positive three-digit marcodonzelli 3 09 Mar 2008, 22:23
Popular new posts 1 If x represents the sum of all the positive three-digit tarek99 12 29 Jul 2008, 06:53
New posts 14 EXPERTS_POSTS_IN_THIS_TOPIC If x represents the sum of all the positive three-digit rvthryet 9 13 Nov 2009, 20:35
New posts 2 EXPERTS_POSTS_IN_THIS_TOPIC If x is an integer, what is the sum of all distinct positive nades09 3 26 Nov 2010, 19:55
Display posts from previous: Sort by

If x represents the sum of all the positive three-digit

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com