A certain city with population of 132,000 is to be divided : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 09 Dec 2016, 20:26
GMAT Club Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 05 Aug 2005
Posts: 412
Followers: 2

Kudos [?]: 52 [0], given: 0

A certain city with population of 132,000 is to be divided [#permalink]

Show Tags

New post 04 Nov 2005, 12:35
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

57% (02:35) correct 43% (02:07) wrong based on 84 sessions

HideShow timer Statistics

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.
Director
Director
avatar
Joined: 24 Oct 2005
Posts: 575
Location: NYC
Followers: 1

Kudos [?]: 58 [0], given: 0

Re: PS:percentage [#permalink]

Show Tags

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.
_________________

Success is my only option, failure is not -- Eminem

Manager
Manager
avatar
Joined: 04 Oct 2005
Posts: 246
Followers: 1

Kudos [?]: 72 [0], given: 0

 [#permalink]

Show Tags

New post 04 Nov 2005, 12:45
Director
Director
avatar
Joined: 27 Jun 2005
Posts: 506
Location: MS
Followers: 3

Kudos [?]: 101 [0], given: 0

Re: PS:percentage [#permalink]

Show Tags

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-)
Director
Director
User avatar
Joined: 29 Aug 2005
Posts: 503
Followers: 2

Kudos [?]: 12 [0], given: 0

Re: PS:percentage [#permalink]

Show Tags

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-)
Intern
Intern
avatar
Joined: 10 Apr 2014
Posts: 33
Followers: 0

Kudos [?]: 21 [0], given: 3

Re: A certain city with a population of 132,000 is to be divided [#permalink]

Show Tags

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.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35932
Followers: 6860

Kudos [?]: 90101 [0], given: 10413

Re: A certain city with a population of 132,000 is to be divided [#permalink]

Show Tags

New post 13 Apr 2014, 05:23
Expert's post
1
This post was
BOOKMARKED
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
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: A certain city with a population of 132,000 is to be divided   [#permalink] 13 Apr 2014, 05:23
    Similar topics Author Replies Last post
Similar
Topics:
19 Experts publish their posts in the topic A certain city with a population of 132,000 is to be divided into 11 v chittakukkar 4 02 Jan 2015, 10:27
3 Experts publish their posts in the topic A certain city with population of 132,000 is to be divided into 11 vot enigma123 4 04 Nov 2011, 11:19
24 Experts publish their posts in the topic A certain city with a population of 132,000 is to be divided LM 8 27 Apr 2010, 08:59
428 Experts publish their posts in the topic A certain city with population of 132,000 is to be divided ugimba 31 02 Mar 2009, 19:52
4 Experts publish their posts in the topic A certain city with population of 132,000 is to be divided i amitdgr 9 10 Oct 2008, 08:17
Display posts from previous: Sort by

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

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.