It is currently 17 Oct 2017, 10:16

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

Confirm Cancel

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: 410

Kudos [?]: 73 [0], given: 0

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

Show Tags

New post 04 Nov 2005, 13:35
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

58% (01:33) correct 42% (02:07) wrong based on 85 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, 06:22, edited 1 time in total.
Renamed the topic, edited the question and the OA.

Kudos [?]: 73 [0], given: 0

Director
Director
avatar
Joined: 24 Oct 2005
Posts: 572

Kudos [?]: 76 [0], given: 0

Location: NYC
Re: PS:percentage [#permalink]

Show Tags

New post 04 Nov 2005, 13:44
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

Kudos [?]: 76 [0], given: 0

Manager
Manager
avatar
Joined: 04 Oct 2005
Posts: 246

Kudos [?]: 86 [0], given: 0

 [#permalink]

Show Tags

New post 04 Nov 2005, 13:45

Kudos [?]: 86 [0], given: 0

Director
Director
avatar
Joined: 27 Jun 2005
Posts: 502

Kudos [?]: 171 [0], given: 0

Location: MS
Re: PS:percentage [#permalink]

Show Tags

New post 04 Nov 2005, 18:58
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-)

Kudos [?]: 171 [0], given: 0

Senior Manager
Senior Manager
User avatar
Joined: 29 Aug 2005
Posts: 498

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

Re: PS:percentage [#permalink]

Show Tags

New post 04 Nov 2005, 21:15
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-)

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

Intern
Intern
avatar
Joined: 10 Apr 2014
Posts: 33

Kudos [?]: 22 [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, 06:32
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.

Kudos [?]: 22 [0], given: 3

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128562 [0], given: 12180

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

Show Tags

New post 13 Apr 2014, 06:23
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: Ultimate GMAT Quantitative Megathread | 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

Kudos [?]: 128562 [0], given: 12180

Re: A certain city with a population of 132,000 is to be divided   [#permalink] 13 Apr 2014, 06:23
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 | Emoji artwork provided by EmojiOne

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®.