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

It is currently 01 Sep 2014, 11:25

Happy Labor Day:

Free Access to New GMATClub Tests for all GMATClub Members!!


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

How many integers from 0 to 50, inclusive, have a remainder

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 06 Nov 2008
Posts: 54
Followers: 0

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

How many integers from 0 to 50, inclusive, have a remainder [#permalink] New post 11 Nov 2008, 19:29
How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ?

A. 15
B. 16
C. 17
D. 18
E. 19
Director
Director
avatar
Joined: 14 Aug 2007
Posts: 735
Followers: 7

Kudos [?]: 99 [0], given: 0

GMAT Tests User
Re: remainder--27 [#permalink] New post 11 Nov 2008, 19:45
haichao wrote:
How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ?

A. 15
B. 16
C. 17
D. 18
E. 19


C.17

an= a1 + (n-1)d

Here an = 49, a1= 1 and d =3.

n= 17
SVP
SVP
User avatar
Joined: 30 Apr 2008
Posts: 1893
Location: Oklahoma City
Schools: Hard Knocks
Followers: 29

Kudos [?]: 431 [0], given: 32

GMAT Tests User
Re: remainder--27 [#permalink] New post 11 Nov 2008, 20:58
Because there will be a remainder of 1 for every three numbers, take the total number of numbers and divide by 3 and that's the answer. Here that is 50 - 0, but add 1 because 0 is inclusive. This results in 51. 51 / 3 = 17.

Same answer as posted previously, but a less "scientific" method.

I'm just curious to see if this would apply to any other similar problem, such as how many integers from 0 to 50, inclusive have a remainder of 2 when divided by 4?

Again, 51 numbers, and there will be a remainder of 2 every 4 integers. The answer would be 51/4? = 12 (don't count remainder on this division.

2
6
10
14
18
22
26
30
34
38
42
46
50

NOpe, this didn't work because the answer would actually be 13.

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

A. 15
B. 16
C. 17
D. 18
E. 19

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: remainder--27   [#permalink] 11 Nov 2008, 20:58
    Similar topics Author Replies Last post
Similar
Topics:
14 Experts publish their posts in the topic How many integers from 0 to 50, inclusive, have a remainder Economist 22 24 Mar 2009, 22:51
How many integers from 0 to 50 inclusive have a remainder of puma 14 12 May 2008, 07:46
How many integers from 0 to 50, inclusive, have a remainder GK_Gmat 6 27 Jun 2007, 03:00
How many integers from 0 to 50, inclusive, have a remainder M8 7 30 Apr 2006, 07:05
How many integers from 0 to 50, inclusive, have a remainder vivek123 16 28 Jan 2006, 10:20
Display posts from previous: Sort by

How many integers from 0 to 50, inclusive, have a remainder

  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®.