BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Population Question

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 273
Joined: Thu Sep 08, 2011 6:50 am
Thanked: 5 times
Followed by:3 members

Population Question

by fangtray » Wed Apr 04, 2012 6:03 am
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 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?

a. 10,700
b. 10,800
c. 10,900
d. 11,000
e. 11,100
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Wed Apr 04, 2012 6:14 am
Check here:

https://www.beatthegmat.com/district-t106568.html
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Senior | Next Rank: 100 Posts
Posts: 61
Joined: Mon Jan 18, 2010 11:09 pm
Thanked: 8 times

by Pharo » Wed Apr 04, 2012 6:36 am
let the smallest district have 100x votes. That means 10 other districts will have 110x votes.

Total votes = 132000 = 100x + 10 * 110x --> x = 110 --> smallest district = 100x = 11000 :)

D is the answer :)
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Wed Apr 04, 2012 6:59 pm
fangtray wrote: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 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?

a. 10,700
b. 10,800
c. 10,900
d. 11,000
e. 11,100
Let us assume that the minimum possible population of the least populated district be P.

It is given that "no district is to have a population that is more than 10% greater than the population of any other district."

Then the population of 11 districts should be between P and (P + 10% of P) = 1.1P
Now we have minimize P. For this we should make only one district to have minimum possible population and the remaining 10 districts should have maximum possible population.
So, P + (10 * 1.1P) = 132,000
12P = 132,000
P = 11,000

The correct answer is D.
Last edited by Anurag@Gurome on Fri Apr 13, 2012 5:24 pm, edited 1 time in total.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Senior | Next Rank: 100 Posts
Posts: 82
Joined: Fri Nov 04, 2011 12:35 am
Followed by:2 members

by amit28it » Wed Apr 04, 2012 9:10 pm
I have just solve your question and the answer given by Anurag@Gurome and Pharo is absolutely correct and the explanation given by Anurag@Gurome is more simple to understand.
What is a Obtuse Angle
Top
Post new topic Post Reply
• Page 1 of 1