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

It is currently 23 Oct 2014, 23:50

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 m and n are positive integers and r is the remained when

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 929
Followers: 12

Kudos [?]: 313 [0], given: 543

If m and n are positive integers and r is the remained when [#permalink] New post 19 Jan 2013, 00:33
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (01:43) correct 29% (01:00) wrong based on 88 sessions
If m and n are positive integers and r is the remained when 5(10^n) + m is divided by 3, what is the value of r?

1) n=10
2) m=1
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Expert Post
2 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4877
Location: Pune, India
Followers: 1156

Kudos [?]: 5374 [2] , given: 165

Re: If m and n are positive integers and r is the remained when [#permalink] New post 19 Jan 2013, 00:52
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
fozzzy wrote:
If m and n are positive integers and r is the remained when 5(10^n) + m is divided by 3, what is the value of r?

1) n=10
2) m=1


5*(10^n) + m

eg. of this expression will be
50 + m
500 + m
5000 + m
etc

When you divide 50 or 500 or 5000 etc by 3, the remainder will always be 2 (the remainder will be the same as that obtained when you divide the sum of the digits by the numbers by 3 i.e. Sum of digits of 5000 = 5+0+0+0 = 5. When you divide 5 by 3, the remainder is 2. When you divide 5000 by 3, the remainder will be 2 only)

So the remainder when 5*(10^n) + m is divided by is dependent on the value of m.

Statement 2 tells us that m = 1.
So when 5*(10^n) + m is divided by 3, the remainder will be 0 (Remainder when 51 or 501 or 5001 is divided by 3 will be 0).

Answer (B)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Manager
Manager
avatar
Joined: 27 Feb 2012
Posts: 138
Followers: 1

Kudos [?]: 20 [0], given: 22

Re: If m and n are positive integers and r is the remained when [#permalink] New post 19 Jan 2013, 02:09
fozzzy wrote:
If m and n are positive integers and r is the remained when 5(10^n) + m is divided by 3, what is the value of r?

1) n=10
2) m=1


Another method

concentrate on exp 5(10^n) + m
when divided by 3
10^n can be written as (9+1)^n
now whatever be the value of n (given n is positive) remainder will be always 1
so remainder of expression 5(10^n) divided by 3 will be effectively remainder of 5/3 = 2

To find the remainder of the exp. now we need to know only m
_________________

---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Please +1 KUDO if my post helps. Thank you.

Director
Director
User avatar
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 564
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)
Followers: 13

Kudos [?]: 144 [0], given: 75

Re: If m and n are positive integers and r is the remained when [#permalink] New post 20 Jan 2013, 09:34
I agree with Karishma,
50+m
500+m
.
.
500000+m , when divided by 3 will give remainder 2 +m so, the value of r will depend upon m.
_________________

" Make more efforts "
Press Kudos if you liked my post

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 2837
Followers: 207

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

Premium Member
Re: If m and n are positive integers and r is the remained when [#permalink] New post 14 Sep 2014, 12:46
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: If m and n are positive integers and r is the remained when   [#permalink] 14 Sep 2014, 12:46
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic If n is a positive integer and r is the remainder when (n - ksharma12 5 26 Apr 2010, 13:39
If n is a positive integer and r is the remainder when (n neelesh 1 17 Feb 2008, 08:14
If n is a positive integer and r is the remainder when (n aurobindo 2 23 Jan 2007, 06:47
If n and r are positive integers and r is the remainder when apollo168 8 30 Aug 2006, 10:08
If n is a positive integer and r is the remainder when tl372 2 29 May 2006, 15:45
Display posts from previous: Sort by

If m and n are positive integers and r is the remained when

  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®.