Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 23 May 2013, 18:02
Customize  |  Hide

Search
Register
New posts
Unanswered

n consecutive integers are selected from the integers

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Manager
Manager
Joined: 29 Mar 2010
Posts: 114
Location: United States
Concentration: Finance, International Business
Schools: McCombs '16, Mays '16, Jones '16
GMAT 1: 590 Q28 V38
GPA: 2.7
WE: Accounting (Hospitality and Tourism)
Followers: 1

Kudos [?]: 17 [0], given: 7

GMAT ToolKit User CAT Tests
n consecutive integers are selected from the integers [#permalink] New post 25 Apr 2012, 22:51
00:00

Question Stats:

78% (07:01) correct 21% (00:58) wrong based on 0 sessions
n consecutive integers are selected from the integers 1 through k, and each number is divided by 5. What is the range of the remainders?

(1) n>4

(2) n is not divisible by 5
[Reveal] Spoiler: OA

_________________

4/28 GMATPrep 42Q 36V 640

GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11594
Followers: 1799

Kudos [?]: 9583 [0], given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: n consecutive integers are selected from the integers [#permalink] New post 25 Apr 2012, 22:59
n consecutive integers are selected from the integers 1 through k, and each number is divided by 5. What is the range of the remainders?

A positive integer can give only 5 remainders upon division by 5: 0, 1, 2, 3, or 4.

(1) n>4. If we select 5 (or more) consecutive integers then they will give all five possible remainders (from 0 to 4, inclusive), so the range will be 4-0=4. Sufficient.

(2) n is not divisible by 5 --> if 2 integers are selected which are for example 9 and 10 then the remainders will be 4 and 0 and the range will be 4-0=0 but if 2 integers selected are 6 and 7 then the remainders will be 1 and 2 and the range will be 2-1=1. not sufficient.

Answer: A.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Manager
Manager
Joined: 29 Mar 2010
Posts: 114
Location: United States
Concentration: Finance, International Business
Schools: McCombs '16, Mays '16, Jones '16
GMAT 1: 590 Q28 V38
GPA: 2.7
WE: Accounting (Hospitality and Tourism)
Followers: 1

Kudos [?]: 17 [0], given: 7

GMAT ToolKit User CAT Tests
Re: n consecutive integers are selected from the integers [#permalink] New post 25 Apr 2012, 23:03
Awesome explanation. Thanks
_________________

4/28 GMATPrep 42Q 36V 640

Re: n consecutive integers are selected from the integers   [#permalink] 25 Apr 2012, 23:03
    Similar topics Author Replies Last post
Similar
Topics:
 New posts The sum of n consecutive positive integers starting from 1 cloaked_vessel 2 06 Mar 2005, 18:09
Popular new posts 10 EXPERTS_POSTS_IN_THIS_TOPIC If the sum of the consecutive integers from –42 to n gmattokyo 16 08 Nov 2009, 03:57
New posts 3 EXPERTS_POSTS_IN_THIS_TOPIC Series of n consecutive positive integers enigma123 5 12 Jan 2012, 23:35
New posts EXPERTS_POSTS_IN_THIS_TOPIC Eight consecutive integers are selected from the integers 1 superpus07 3 06 Nov 2012, 19:05
New posts One number, n, is selected at random from a set of 10 intege rajatr 2 05 May 2013, 22:20
Display posts from previous: Sort by

n consecutive integers are selected from the integers

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com