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

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Intern
Joined: 25 Dec 2008
Posts: 41
A certain city with a population of 132000 is to be divided [#permalink]

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10 Jan 2009, 02:42
A certain city with a population of 132000 is to be divided into 11 voting district, and no district is to have a population that is more that 10% greater that the population of any other district. What is the minimum poissible population that the least populated district could have?

A)10700
B)10200
C)10900
D)11000
E)11100

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Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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10 Jan 2009, 03:07
Let's say least populated district (say A) has population = x

The maximum any other city can have = x(1+10%) = x(1+1/10) = 11/10x

Now in order for A to have least population, other cities should have equal distribution, which is = 11/10x

Now 1 city has population x and 10 cities have population as 11/10x

so, 1 X x + 10 X 11/10x = 132000 ---> x = 11000

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kris

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Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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10 Jan 2009, 14:11
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kris

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Joined: 03 Nov 2008
Posts: 2

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10 Jan 2009, 15:51

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: source GMATPrep   [#permalink] 10 Jan 2009, 15:51
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A certain city with a population of 132000 is to be divided

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