A certain city with a population of 132000 is to be divided : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 03:44

### 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

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

Author Message
Intern
Joined: 20 Apr 2006
Posts: 39
Followers: 0

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

A certain city with a population of 132000 is to be divided [#permalink]

### Show Tags

01 Aug 2006, 09:00
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A certain city with a population of 132000 is to be divided into 11 voting districts and no district is to have population that is more than 10% greater thant he population of any other district. what is the minimum possible population that the least populated district could have?

a. 10700
b. 10800
c. 10900
d. 11000
e. 11100
CEO
Joined: 20 Nov 2005
Posts: 2911
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 24

Kudos [?]: 273 [0], given: 0

### Show Tags

01 Aug 2006, 09:03
D

Let x is minimum. To take the worst case one is x and all other 10 are 1.1x.

So x+10(1.1x) = 132000
12x = 132000
x = 11000
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Intern
Joined: 29 Apr 2006
Posts: 14
Followers: 0

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

### Show Tags

01 Aug 2006, 11:32
D

Let x is the minimum population for a district. Remaining all 10 districts can have the max population allowed ie 10% greater than x i.e., 11x/10 for each OR 11x total for remaining 10 districts.

But the total of all 11 districts must be 132000

So x+11x=132000
=> 12x=132000
=> x=11000
Director
Joined: 28 Dec 2005
Posts: 755
Followers: 1

Kudos [?]: 14 [0], given: 0

### Show Tags

01 Aug 2006, 12:13
positive_energy wrote:
A certain city with a population of 132000 is to be divided into 11 voting districts and no district is to have population that is more than 10% greater thant he population of any other district. what is the minimum possible population that the least populated district could have?

a. 10700
b. 10800
c. 10900
d. 11000
e. 11100

Tough for me, but D is my choice.

The way to make the 11th district smallest is to put as many people as possible in the others. Let the 11th have a pop. of x. Then all the other 10 can at most be 1.1x

=>x + 10(1.1x) = 132000
x= 11000
SVP
Joined: 30 Mar 2006
Posts: 1737
Followers: 1

Kudos [?]: 77 [0], given: 0

### Show Tags

02 Aug 2006, 01:36
Clear D.

Lets say the district with the least population has x people.
The other ten districts should not be greater than 10%

x + 10(1.1x) = 132000
12x = 132000
x = 11000
02 Aug 2006, 01:36
Display posts from previous: Sort by