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

It is currently 24 Oct 2014, 17:58

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

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 12 Feb 2006
Posts: 115
Followers: 1

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

When the positive integer x is divided by 11, the quotient [#permalink] New post 15 Feb 2007, 03:28
00:00
A
B
C
D
E

Difficulty:

(N/A)

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 three. What is the remainder when y is divided by 19?

A. 0
B. 1
C. 2
D. 3
E. 4
Director
Director
User avatar
Joined: 05 Feb 2006
Posts: 904
Followers: 1

Kudos [?]: 34 [0], given: 0

 [#permalink] New post 15 Feb 2007, 03:33
I pick A.

x/11=y+3
x/19=q+3

x=11y+3
x=19q+3

Substract one equation from the other.

11y-19q=0
11y=19q

Clearly from this we can see that y must have a factor of 19.... so the remainder will be 0.
SVP
SVP
User avatar
Joined: 05 Jul 2006
Posts: 1541
Followers: 5

Kudos [?]: 84 [0], given: 39

 [#permalink] New post 15 Feb 2007, 04:04
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 three. What is the remainder when y is divided by 19?

A. 0
B. 1
C. 2
D. 3
E. 4

x = 11y+3

x = 19k+3

19k+3 = 11y+3

19k/11 = y

thus y is muktiple of 19 and remainder = 0
A IS MY ANSWER TOO
Manager
Manager
avatar
Joined: 10 Dec 2005
Posts: 112
Followers: 1

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

Re: Number Properties DS [#permalink] New post 15 Feb 2007, 04:09
bz9 wrote:
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 three. What is the remainder when y is divided by 19?

A. 0
B. 1
C. 2
D. 3
E. 4


Same approach as yezzz my answer is also A as I get remainder = 0 too.
_________________

"Live as if you were to die tomorrow. Learn as if you were to live forever." - Mahatma Gandhi

Manager
Manager
avatar
Joined: 12 Feb 2006
Posts: 115
Followers: 1

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

 [#permalink] New post 03 Mar 2007, 23:21
Thanks Everyone,

OA is A and the explanations makes perfect sense.
Senior Manager
Senior Manager
avatar
Joined: 29 Jan 2007
Posts: 451
Location: Earth
Followers: 2

Kudos [?]: 38 [0], given: 0

 [#permalink] New post 04 Mar 2007, 09:33
yezz, simaq
I also got 0 as remainder..but dint see it as obvious as you did.

when you have 19K/11 = y <=> 19*(k/11) = y
How did you know k/11 is integer to say y is multiple of 19.

I am sure I am missing some basic concept perhaps. So wanted to learn it.
  [#permalink] 04 Mar 2007, 09:33
    Similar topics Author Replies Last post
Similar
Topics:
14 Experts publish their posts in the topic When the positive integer x is divided by 11, the quotient Hussain15 18 13 Apr 2010, 04:49
When the positive integer x is divided by 11, the quotient bigtreezl 5 28 Aug 2008, 15:51
When the positive integer x is divided by 11, the quotient alimad 3 30 Oct 2007, 19:27
When the positive integer x is divided by 11, the quotient Dek 7 31 May 2007, 04:19
When the positive integer x is divided by 11, the quotient u2lover 5 08 Aug 2006, 17:47
Display posts from previous: Sort by

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

  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®.