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

 It is currently 04 May 2015, 03:49

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# PS: voting districts

Author Message
TAGS:
Manager
Joined: 20 May 2006
Posts: 97
Followers: 0

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

PS: voting districts [#permalink]  05 Oct 2006, 09:59
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Can somebody explain the math please.

A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that i more than 10% greater than the population of any other district. What i the minimum possible population that the least populated district could have?

A. 10,700
B. 10,800
C. 10,900
D. 11,000
E. 11,100
Senior Manager
Joined: 28 Aug 2006
Posts: 302
Followers: 10

Kudos [?]: 96 [0], given: 0

Hey govinam,

The population of one district will be minimum provided the population of all the other 10 districts is same.

i.e if x is the minimum population, then the population of all the other 10 districts must be 110% of x ie 11/10(x).

So x+ 10 (11/10)x = 132000.

hence x= 11000
Senior Manager
Joined: 11 May 2006
Posts: 260
Followers: 1

Kudos [?]: 6 [0], given: 0

Re: PS: voting districts [#permalink]  05 Oct 2006, 20:02
govinam wrote:
Can somebody explain the math please.

A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that i more than 10% greater than the population of any other district. What i the minimum possible population that the least populated district could have?

A. 10,700
B. 10,800
C. 10,900
D. 11,000
E. 11,100

another way to do is

the average is 12000 so all the 11 district could have a population of 12000. Now if a district needs to have a population lower than 12000, some other must have a population greater than 12000.

lets take C as the least population. then max population = 10900 + 10% of 10900 = 11990. If this were the case, we cann't have a average population of 12000.

so none of the values lower than this will work.

trying D = 11,000 gives max population 12100 ie above 12000 , so this is possible and the answer !
Re: PS: voting districts   [#permalink] 05 Oct 2006, 20:02
Similar topics Replies Last post
Similar
Topics:
6 The Lakipia District... 4 15 Oct 2013, 23:30
Vote 2 03 Jul 2011, 12:29
voting 5 08 Feb 2009, 23:01
Voting Districts 2 03 Dec 2006, 07:28
PS what is the least number district can have? 6 19 Mar 2006, 22:46
Display posts from previous: Sort by

# PS: voting districts

 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®.