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

It is currently 22 Oct 2014, 14:38

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

Arithmatic Progression Problem - Advise is Needed

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 16 Apr 2010
Posts: 223
Followers: 3

Kudos [?]: 46 [0], given: 12

Arithmatic Progression Problem - Advise is Needed [#permalink] New post 01 Aug 2010, 23:09
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

25% (01:53) correct 75% (00:36) wrong based on 4 sessions
Hello,

How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3?

A.14
B.15.
C.16
D.17
E.18

if we arrange this in AP, we get
4+7+10+.......+49
so 4+(n-1)3=49: n=16

Should we consider 1 in the AP as well? If we do so, then the answer becomes 17.
Please advise.


regards,
Jack
1 KUDOS received
GMAT Instructor
avatar
Joined: 24 Jun 2008
Posts: 978
Location: Toronto
Followers: 261

Kudos [?]: 707 [1] , given: 3

Re: Arithmatic Progression Problem - Advise is Needed [#permalink] New post 02 Aug 2010, 00:22
1
This post received
KUDOS
Yes, you must include 1, since when you divide 1 by 3, the remainder is 1 (and the quotient is zero). That should be obvious if you think of how you first learned division: if you have 1 apple and 3 children, and you need to give each child an equal number of apples, you can't give the children any apples (i.e. the quotient is zero) and you have 1 apple left over (that's the remainder).
_________________

Nov 2011: After years of development, I am now making my advanced Quant books and high-level problem sets available for sale. Contact me at ianstewartgmat at gmail.com for details.

Private GMAT Tutor based in Toronto

Intern
Intern
User avatar
Joined: 03 Mar 2010
Posts: 40
Followers: 1

Kudos [?]: 10 [0], given: 1

Re: Arithmatic Progression Problem - Advise is Needed [#permalink] New post 02 Aug 2010, 01:06
You can turn it into a basic problem.
In fact, integers with a remainder of 1 when divided by 3 have the following shape:
3k+1 with k=0, 1, 2, and so on.
Then:
0<=3k+1<=50
\frac{0-1}{3}<=k<=\frac{50-1}{3}
\frac{-1}{3}<=k<=16+\frac{1}{3}
k=0, 1, 2, ..., 15, 16

Result=17!
_________________

Hardworkingly, you like my post, so kudos me.

Senior Manager
Senior Manager
User avatar
Joined: 25 Feb 2010
Posts: 459
Followers: 3

Kudos [?]: 36 [0], given: 5

Re: Arithmatic Progression Problem - Advise is Needed [#permalink] New post 02 Aug 2010, 04:30
I made the mistake of not including 1 :(
_________________

GGG (Gym / GMAT / Girl) -- Be Serious

Its your duty to post OA afterwards; some one must be waiting for that...

Senior Manager
Senior Manager
avatar
Joined: 03 Nov 2005
Posts: 399
Location: Chicago, IL
Followers: 3

Kudos [?]: 25 [0], given: 17

Re: Arithmatic Progression Problem - Advise is Needed [#permalink] New post 02 Aug 2010, 15:53
I think it's much easier to list them here.


the sequence is the following 3n+1, where n = 0,1,2,3...........

1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49

so, 17.

the trick is not to forget about 1. U cath it, you'll have it.
_________________

Hard work is the main determinant of success

Re: Arithmatic Progression Problem - Advise is Needed   [#permalink] 02 Aug 2010, 15:53
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic Quant Progress - Please Advise GMATBeast 1 22 Feb 2013, 14:04
Dejected with progress made... please advise ! broomy 2 22 Jun 2008, 05:14
Experts publish their posts in the topic Need advice to progress nayass 3 02 Apr 2008, 01:07
Experts publish their posts in the topic NEED ADVISE giri 1 04 Nov 2004, 10:06
Display posts from previous: Sort by

Arithmatic Progression Problem - Advise is Needed

  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®.