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

It is currently 20 Oct 2014, 13:34

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 certain city with a population of 132000 is to be divided

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 18 Jun 2007
Posts: 69
Followers: 1

Kudos [?]: 4 [0], given: 0

A certain city with a population of 132000 is to be divided [#permalink] New post 29 Sep 2007, 09:55
1
This post was
BOOKMARKED
A certain city with a population of 132000 is to be divided into 11 voting districts and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum population that the least populated district could have ?

a)10,700
b)10,800
c)10,900
d)11,000
e)11,100
Director
Director
User avatar
Joined: 03 May 2007
Posts: 899
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 52 [0], given: 7

Re: poplns [#permalink] New post 29 Sep 2007, 10:45
tlntd42 wrote:
A certain city with a population of 132000 is to be divided into 11 voting districts and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum population that the least populated district could have ?

a)10,700
b)10,800
c)10,900
d)11,000
e)11,100


D. 1.1 (10x) + x = 132000
x = 132000/12
x = 11000
Director
Director
User avatar
Joined: 08 Jun 2007
Posts: 583
Followers: 2

Kudos [?]: 72 [0], given: 0

Re: poplns [#permalink] New post 29 Sep 2007, 12:14
Fistail wrote:
tlntd42 wrote:
A certain city with a population of 132000 is to be divided into 11 voting districts and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum population that the least populated district could have ?

a)10,700
b)10,800
c)10,900
d)11,000
e)11,100


D. 1.1 (10x) + x = 132000
x = 132000/12
x = 11000


hey can you elaborate this solution.
VP
VP
User avatar
Joined: 08 Jun 2005
Posts: 1156
Followers: 6

Kudos [?]: 118 [0], given: 0

 [#permalink] New post 29 Sep 2007, 12:34
132,000/11 = 12,000

What is the minimum population that the least populated district could have?

since we want the minimum we don't have to use 12,000 we can take for exsample 1,000 people from one district and move them to the other 10 districts (distributed evenly).

D1 = 12,000-1000 = 11,000
D2 = 12,000+(1000/10) = 12,100


D2/D1 = 12,100/11,000 = 121/110 = 110%

no district is to have a population that is more than 10 percent greater than the population of any other district.

true !

the answer is (E)

:)
Director
Director
User avatar
Joined: 03 May 2007
Posts: 899
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 52 [0], given: 7

Re: poplns [#permalink] New post 29 Sep 2007, 21:36
ashkrs wrote:
Fistail wrote:
tlntd42 wrote:
A certain city with a population of 132000 is to be divided into 11 voting districts and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum population that the least populated district could have ?

a)10,700
b)10,800
c)10,900
d)11,000
e)11,100


D. 1.1 (10x) + x = 132000
x = 132000/12
x = 11000


hey can you elaborate this solution.


similar work found here: http://www.gmatclub.com/forum/t29885?&h ... t=district
Manager
Manager
avatar
Joined: 13 Jul 2007
Posts: 123
Followers: 2

Kudos [?]: 4 [0], given: 0

Re: poplns [#permalink] New post 04 Oct 2007, 11:07
Does the wording also mean that there is one with LEAST populated district?
So to get to the least others have to be max?
So x = population of the least poulated district then other 10 can ne maxed out at 1.1x

S0 x + 10(1.1 x) = 132000


GMAT makes the wording unneccessary complicated.
Intern
Intern
User avatar
Joined: 03 Oct 2007
Posts: 16
Followers: 0

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

 [#permalink] New post 04 Oct 2007, 16:46
D...
Population of the least poulated district is- x
Others are 10% greater than- 1.1x
x + 1.1 (10x) = 132000
x = 132000/12
x = 11000
  [#permalink] 04 Oct 2007, 16:46
    Similar topics Author Replies Last post
Similar
Topics:
A certain city with a population of 132000 is to be divided shobuj40 3 10 Jan 2009, 01:42
A certain city with a population of 132000 is to be divided positive_energy 4 01 Aug 2006, 09:00
A certain city with population of 132,000 is to be divided ps_dahiya 6 30 Jul 2006, 20:23
A certain city with population of 132000 is divided into 11 rianah100 3 08 Nov 2005, 03:42
Experts publish their posts in the topic A certain city with population of 132,000 is to be divided gmacvik 6 04 Nov 2005, 12:35
Display posts from previous: Sort by

A certain city with a population of 132000 is to be divided

  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®.