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

It is currently 10 Feb 2016, 01:14
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

A number when divided by 342 gives a remainder 47. When the

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
User avatar
Joined: 08 Sep 2010
Posts: 233
Location: India
WE 1: 6 Year, Telecom(GSM)
Followers: 4

Kudos [?]: 169 [0], given: 21

A number when divided by 342 gives a remainder 47. When the [#permalink] New post 20 Oct 2010, 04:24
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

83% (02:03) correct 17% (01:23) wrong based on 15 sessions
A number when divided by 342 gives a remainder 47. When the same number divided by 19, what would be the remainder ?
Expert Post
3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 31291
Followers: 5354

Kudos [?]: 62302 [3] , given: 9453

Re: Good Question ...Number system [#permalink] New post 20 Oct 2010, 04:28
3
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
Manager
Manager
avatar
Joined: 03 Jun 2010
Posts: 183
Location: United States (MI)
Concentration: Marketing, General Management
WE: Business Development (Consumer Products)
Followers: 5

Kudos [?]: 41 [0], given: 40

GMAT ToolKit User Reviews Badge
Re: Good Question ...Number system [#permalink] New post 21 Oct 2010, 03:53
It also can be done in a "dumb" way.
let's take 342*2+47 = 731
now 731/19 = 38, remainder 19.
Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6229
Location: Pune, India
Followers: 1677

Kudos [?]: 9618 [1] , given: 197

Re: Good Question ...Number system [#permalink] New post 21 Oct 2010, 04:58
1
This post received
KUDOS
Expert's post
Using the concept of division works really well in such questions. It is good to remember that division is nothing but grouping. So when I say that a number is divided by 342, it means I split that number into groups of 342 and 47 was leftover.
342 is divisible by 19 so when you divide the same number by 19, every group of 342 will be cleanly split in groups of 19 and nothing will be left over. (This is what happens in most such cases.)
We only need to worry about the leftover 47. You can split 47 in two groups of 19 and then 9 will be leftover. Hence your remainder here will be 9.

(Note: For further clarity, refer to the theory of division.)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Intern
Intern
avatar
Joined: 16 Jul 2010
Posts: 2
Followers: 0

Kudos [?]: 18 [0], given: 0

Re: Good Question ...Number system [#permalink] New post 21 Oct 2010, 05:31
u cld also try this solution:

n= 32q + 47
when n is divided by 19 means divide the expression 32q+47 by 19:

324q/ 19+ 47/19= remainder (r)
18q + 47/19 = remainder

From this, the remainder will only result from dividing 47 by 19; this leaves a remainder of 9
Ans= 9
Intern
Intern
avatar
Joined: 21 Jun 2010
Posts: 5
Followers: 0

Kudos [?]: 17 [0], given: 1

Re: Good Question ...Number system [#permalink] New post 05 Dec 2010, 01:11
i tried it in da foll way..
x=342q + 47
taking least possible way suppose q=1 ,then x is 347+47 =389
hence x = 19p + z
try dividing 389 by 9 ,u get remainder 9.. :)
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6229
Location: Pune, India
Followers: 1677

Kudos [?]: 9618 [0], given: 197

Re: Good Question ...Number system [#permalink] New post 05 Dec 2010, 05:17
Expert's post
bhushan288 wrote:
i tried it in da foll way..
x=342q + 47
taking least possible way suppose q=1 ,then x is 347+47 =389
hence x = 19p + z
try dividing 389 by 9 ,u get remainder 9.. :)


This approach is fine though the least possible such number is 47 (q = 0). To understand how to figure it out orally, check out the blog post:

http://gmatquant.blogspot.com/2010/11/divisibility-and-remainders-if-you.html
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Manager
Manager
avatar
Joined: 17 Sep 2010
Posts: 216
Concentration: General Management, Finance
GPA: 3.59
WE: Corporate Finance (Entertainment and Sports)
Followers: 3

Kudos [?]: 14 [0], given: 33

Re: Good Question ...Number system [#permalink] New post 05 Dec 2010, 22:31
9.

Is this an actual gmat problem?
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6229
Location: Pune, India
Followers: 1677

Kudos [?]: 9618 [0], given: 197

Re: Good Question ...Number system [#permalink] New post 06 Dec 2010, 04:44
Expert's post
USCTrojan2006 wrote:
9.

Is this an actual gmat problem?


The topic 'Remainders' is tested often in GMAT. You could definitely see something similar to this in the actual test.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 8204
Followers: 417

Kudos [?]: 111 [0], given: 0

Top 10 in overall
Re: A number when divided by 342 gives a remainder 47. When the [#permalink] New post 13 Oct 2013, 02:54
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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 8204
Followers: 417

Kudos [?]: 111 [0], given: 0

Top 10 in overall
Re: A number when divided by 342 gives a remainder 47. When the [#permalink] New post 17 Jul 2015, 19:06
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

Expert Post
VP
VP
User avatar
Joined: 08 Jul 2010
Posts: 1133
Location: India
GMAT: INSIGHT
WE: Education (Education)
Followers: 36

Kudos [?]: 820 [0], given: 40

Re: A number when divided by 342 gives a remainder 47. When the [#permalink] New post 18 Jul 2015, 03:51
Expert's post
ankitranjan wrote:
A number when divided by 342 gives a remainder 47. When the same number divided by 19, what would be the remainder ?


There are generally one common thing among almost all such questions i.e. First Divisor (342 in this case) will be a Multiple of Second Divisor (19 in this case). i.e. Remainder with first divisor will always be the remainder with second divisor

Since 342 is a multiple of 19 therefore
If Remainder when Number divided by 343 is 47
then, Remainder when Number divided by 19 will be 47 (which can further be divided to finally calculation the final remainder) = Remainder (47/19)=9

Another method is to find a number that satisfies the first condition and calculate the remiainder with second divisor

i.e. Number when divided by 342 gives remainder 47
i.e. one of the numbers of such tyoe can be 342+47 = 389
now divide 389 by 19 and see the remainder
Remainder (47/19)=9 Final Remainder
_________________

Prosper!!!

GMATinsight

Bhoopendra Singh and Dr.Sushma Jha

e-mail: info@GMATinsight.com
Call us : +91-9999687183 / 9891333772

http://www.GMATinsight.com/testimonials.html


Contact for One-on-One LIVE ONLINE (SKYPE Based) or CLASSROOM Quant/Verbal FREE Demo Class




READ: http://gmatclub.com/forum/620-to-760-getting-reborn-161230.html

Classroom Centre Address:
GMATinsight
107, 1st Floor, Krishna Mall,
Sector-12 (Main market),
Dwarka, New Delhi-110075

______________________________________________________
Please press the Image if you appreciate this post !!

Re: A number when divided by 342 gives a remainder 47. When the   [#permalink] 18 Jul 2015, 03:51
    Similar topics Author Replies Last post
Similar
Topics:
9 Experts publish their posts in the topic What is the remainder when (47)(49) is divided by 8? Bunuel 14 11 Jun 2015, 02:55
1 Experts publish their posts in the topic A positive integer, when divided by 6 gives the remainder 2, and when Bunuel 5 20 Jan 2015, 05:56
Experts publish their posts in the topic The remainder when 7^84 is divided by 342 is : ankur1901 2 26 Feb 2014, 09:03
13 What is the remainder when (47)(49) is divided by 8? mun23 9 02 Mar 2013, 12:54
4 Experts publish their posts in the topic Positive Integer A gives the remainder of 6 when divided by DeeptiM 19 02 Aug 2011, 03:14
Display posts from previous: Sort by

A number when divided by 342 gives a remainder 47. When the

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| 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®.