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

It is currently 19 Jun 2013, 14:44
Customize  |  Hide

Search
Register
New posts
Unanswered

When the positive integer x is divided by 11, the quotient

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
VP
VP
User avatar
Joined: 14 May 2006
Posts: 1421
Followers: 4

Kudos [?]: 23 [0], given: 0

GMAT Tests User
When the positive integer x is divided by 11, the quotient [#permalink] New post 08 Aug 2006, 18:47
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is also 3. What is the remainder when y is divided by 19?

A 0
B 1
C 2
D 3
E 4

please explain
VP
VP
User avatar
Joined: 29 Dec 2005
Posts: 1356
Followers: 6

Kudos [?]: 17 [0], given: 0

GMAT Tests User
Re: PS: Remainder [#permalink] New post 08 Aug 2006, 19:56
x = 11 (y) + 3 ..........i
x = 19 n + 3..............ii

11 (y) + 3 = 19 n + 3
11 (y) = 19 n

the only values that satisfies y and n are multiples of 19 and 11 respectively. if y is a multiple of 19, the reminder is 0 when y is divided by 19.

A.
Manager
Manager
Joined: 08 May 2004
Posts: 160
Location: Pittsburgh
Followers: 1

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

 [#permalink] New post 08 Aug 2006, 20:31
I tried to get the answer by picking numbers
I couldn't get one:(
VP
VP
User avatar
Joined: 02 Jun 2006
Posts: 1278
Followers: 2

Kudos [?]: 16 [0], given: 0

GMAT Tests User
 [#permalink] New post 08 Aug 2006, 21:59
A 0

x = 11y + 3
x = 19m + 3

As 11x19 = 209, x can be 209k + 3 where k is a +ve integer.

Therefore y =19.
VP
VP
User avatar
Joined: 29 Dec 2005
Posts: 1356
Followers: 6

Kudos [?]: 17 [0], given: 0

GMAT Tests User
 [#permalink] New post 08 Aug 2006, 22:08
haas_mba07 wrote:
y =19.


nope. y is a multiple of 19. it could be 0 or 19 or 38 or so on.
CEO
CEO
User avatar
Joined: 20 Nov 2005
Posts: 2934
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 7

Kudos [?]: 39 [0], given: 0

GMAT Tests User
 [#permalink] New post 08 Aug 2006, 23:31
A

x = 11y + 3
x/19 will have remainder only if y is divisible by 19.

Hence y/19 will yield zero remainder.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

  [#permalink] 08 Aug 2006, 23:31
    Similar topics Author Replies Last post
Similar
Topics:
 New posts When the positive integer x is divided by 11, the quotient bz9 5 15 Feb 2007, 04:28
New posts When the positive integer x is divided by 11, the quotient Dek 7 31 May 2007, 05:19
New posts When the positive integer x is divided by 11, the quotient alimad 3 30 Oct 2007, 20:27
New posts When the positive integer x is divided by 11, the quotient bigtreezl 5 28 Aug 2008, 16:51
Popular new posts 4 Experts publish their posts in the topic When the positive integer x is divided by 11, the quotient Hussain15 13 13 Apr 2010, 05:49
Display posts from previous: Sort by

When the positive integer x is divided by 11, the quotient

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: VeritasPrepKarishma, Bunuel, IanStewart

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