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

It is currently 03 Aug 2015, 20:43
GMAT Club Tests

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 x is divided

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
User avatar
Joined: 03 Jan 2008
Posts: 109
Followers: 1

Kudos [?]: 27 [0], given: 0

What is the remainder when the positive integer x is divided [#permalink] New post 08 Apr 2008, 12:35
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the remainder when the positive integer x is divided by 8?
(1) When x is divided by 12, the remainder is 5.
(2) When x is divided by 18, the remainder is 11.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

your reasoning pls

Last edited by notahug on 08 Apr 2008, 19:41, edited 1 time in total.
Director
Director
avatar
Joined: 10 Sep 2007
Posts: 948
Followers: 7

Kudos [?]: 217 [0], given: 0

Re: Remainder [#permalink] New post 08 Apr 2008, 14:07
Statement 1:
Examples, 5, 17, 29, 41, 53, 65, 77, 89, 101...
If divided by 8 they leave either 1 or 5 as remainders, so not sufficient.

Statement 2:
Examples, 11, 29, 47, 65, 83, 101...
If divided by 8 they leave different remainders, so not sufficient.

Combining Statement 1 and 2

Examples 29, 65, 101
Divided by 8 leaves remainder 1, and 5, so again insufficient.

Answer E.

Last edited by abhijit_sen on 08 Apr 2008, 20:27, edited 1 time in total.
Manager
Manager
User avatar
Joined: 03 Jan 2008
Posts: 109
Followers: 1

Kudos [?]: 27 [0], given: 0

Re: Remainder [#permalink] New post 08 Apr 2008, 14:19
is there other way to approach this?
SVP
SVP
avatar
Joined: 28 Dec 2005
Posts: 1576
Followers: 2

Kudos [?]: 96 [0], given: 2

Re: Remainder [#permalink] New post 08 Apr 2008, 16:54
i thought it was E ... 29/8 gives remainder 5, but 65/8 gives remainder 1.
Current Student
avatar
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 192 [0], given: 2

Re: Remainder [#permalink] New post 08 Apr 2008, 17:03
yeah..this should be E..
SVP
SVP
avatar
Joined: 04 May 2006
Posts: 1936
Schools: CBS, Kellogg
Followers: 19

Kudos [?]: 503 [0], given: 1

Premium Member
Re: Remainder [#permalink] New post 08 Apr 2008, 18:37
notahug wrote:
is there other way to approach this?


I have the same problem as your. I do not master this skill of number plugging. I did tried but it did not work for me. The other way does not help me more!

1. 12k + 5 = (8k +8)+(4k-3)

4k-4 divided by 8 produce some remainders so not sufficient

2. 18n+11 = 16n + 8 + (2n+3)

2n+3 also produces some remainders when it divided by 8, not sufficient

When combining, I stop thinking, :lol: I apply the way Walker suggest but it seems difficult for me. Any other help?
_________________

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
User avatar
Joined: 03 Jan 2008
Posts: 109
Followers: 1

Kudos [?]: 27 [0], given: 0

Re: Remainder [#permalink] New post 08 Apr 2008, 19:41
What is the best way to solve this, any more idea?

Walker?
Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 424

Kudos [?]: 2299 [0], given: 359

GMAT ToolKit User Premium Member
Re: Remainder -- Walker --Join us! [#permalink] New post 08 Apr 2008, 20:13
Expert's post
My approach for the problems with remainder is the same as abhijit_sen wrote: I simply write out a few integers:

12k+5: 5, 17, 29, 41, 53, 65

18m+11: 11, 29, 47, 65

29 and 65 satisfies both conditions but have different remainders: 5 and 1

So, E

I do not know faster way....
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Manager
Manager
User avatar
Joined: 03 Jan 2008
Posts: 109
Followers: 1

Kudos [?]: 27 [0], given: 0

Re: Remainder -- Walker --Join us! [#permalink] New post 08 Apr 2008, 20:31
walker wrote:
My approach for the problems with remainder is the same as abhijit_sen wrote: I simply write out a few integers:

12k+5: 5, 17, 29, 41, 53, 65

18m+11: 11, 29, 47, 65

29 and 65 satisfies both conditions but have different remainders: 5 and 1

So, E

I do not know faster way....


Tks I think most of us consider "plugging" the best way.
Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 424

Kudos [?]: 2299 [0], given: 359

GMAT ToolKit User Premium Member
Re: Remainder -- Walker --Join us! [#permalink] New post 08 Apr 2008, 20:50
Expert's post
At the beginning I tried to use "mod" approach to solve such problems but found it too clumsy and sometimes this approach lead me to deadlock ... On the other hand, the plugging numbers seems to be not so nice but work well for almost all reminder problems.
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Re: Remainder -- Walker --Join us!   [#permalink] 08 Apr 2008, 20:50
Display posts from previous: Sort by

What is the remainder when the positive integer x is divided

  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®.