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A certain city with population of 132,000 is to be divided

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A certain city with population of 132,000 is to be divided [#permalink] New post 04 Nov 2005, 12:35
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

53% (03:17) correct 47% (02:16) wrong based on 32 sessions
A certain city with population of 132,000 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 possible population that the least populated district could have?

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-certain-city-with-population-of-132-000-is-to-be-divided-76217.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 Apr 2014, 05:22, edited 1 time in total.
Renamed the topic, edited the question and the OA.
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Re: PS:percentage [#permalink] New post 04 Nov 2005, 12:44
gmacvik wrote:
A certain city with a population of 132,000 is to be divided into 11 voting districts is to have
a populationn that is more than 10% greater than the population of any other district. What is
the minimum possible population that the least populated district could have?

10,700
10,800
10,900
11,000
12,000


population that is 10% greater than the population of any other district..

11000.. 10% of 11000 = 1100.. so the next population will be 12100..
10*12,100 + 11000 = 132000.
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 [#permalink] New post 04 Nov 2005, 12:45
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Re: PS:percentage [#permalink] New post 04 Nov 2005, 17:58
bewakoof,

how any why you assumed that the population of the reaming 10 districts will be same ..... Pls explain ....i am kina lost

bewakoof wrote:
gmacvik wrote:
A certain city with a population of 132,000 is to be divided into 11 voting districts is to have
a populationn that is more than 10% greater than the population of any other district. What is
the minimum possible population that the least populated district could have?

10,700
10,800
10,900
11,000
12,000


population that is 10% greater than the population of any other district..

11000.. 10% of 11000 = 1100.. so the next population will be 12100..
10*12,100 + 11000 = 132000.
:roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: 8-) 8-) 8-) 8-)
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Re: PS:percentage [#permalink] New post 04 Nov 2005, 20:15
There is not mention that population would be different. This is PS and not CR :) where the number can be from 1 to 12100. When the division is stated and unless a exception is mentioned it is considered an equal distribution/division.

cool_jonny009 wrote:
bewakoof,

how any why you assumed that the population of the reaming 10 districts will be same ..... Pls explain ....i am kina lost

bewakoof wrote:
gmacvik wrote:
A certain city with a population of 132,000 is to be divided into 11 voting districts is to have
a populationn that is more than 10% greater than the population of any other district. What is
the minimum possible population that the least populated district could have?

10,700
10,800
10,900
11,000
12,000


population that is 10% greater than the population of any other district..

11000.. 10% of 11000 = 1100.. so the next population will be 12100..
10*12,100 + 11000 = 132000.
:roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: 8-) 8-) 8-) 8-)
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Re: A certain city with a population of 132,000 is to be divided [#permalink] New post 12 Apr 2014, 05:32
gmacvik wrote:
A certain city with a population of 132,000 is to be divided into 11 voting districts is to have
a populationn that is more than 10% greater than the population of any other district. What is
the minimum possible population that the least populated district could have?

10,700
10,800
10,900
11,000
12,000


The question doesn't seem to complete/correct...
guess it is 11 voting districts is to have
a population that is not more than 10% greater than the population of any other district.
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Re: A certain city with a population of 132,000 is to be divided [#permalink] New post 13 Apr 2014, 05:23
Expert's post
ind23 wrote:
gmacvik wrote:
A certain city with a population of 132,000 is to be divided into 11 voting districts is to have
a populationn that is more than 10% greater than the population of any other district. What is
the minimum possible population that the least populated district could have?

10,700
10,800
10,900
11,000
12,000


The question doesn't seem to complete/correct...
guess it is 11 voting districts is to have
a population that is not more than 10% greater than the population of any other district.


A certain city with population of 132,000 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 possible population that the least populated district could have?

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

As "no district is to have a population that is more than 10 percent greater than the population of any other district", then the populations of 11 districts should be in the range: x and 1.1x.

So we want to minimize x. To minimize x we should make only one district to have that # of population (minimum possible) and the rest 10 districts to have 1.1x # of population (maximum possible).

x+10*1.1x=132 --> 12x=132 --> x=11.

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-certain-city-with-population-of-132-000-is-to-be-divided-76217.html
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Re: A certain city with a population of 132,000 is to be divided   [#permalink] 13 Apr 2014, 05:23
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