Find all School-related info fast with the new School-Specific MBA Forum

It is currently 31 Aug 2015, 22:25
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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Representation in a local community board is based on the

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 22 Jul 2009
Posts: 204
Location: Manchester UK
Followers: 2

Kudos [?]: 116 [0], given: 6

Representation in a local community board is based on the [#permalink] New post 10 Jan 2010, 12:32
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

92% (02:27) correct 8% (01:40) wrong based on 16 sessions
Representation in a local community board is based on the community’s population, with 25 board members representing the first 500,000 people, and each additional board member representing an additional 30,000 people. Is the population of the town less than 500,000?

(1) There were 23 members on the community board.
(2) If the population were three times as large, the community board would have had 51 members.
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 May 2015, 02:35, edited 1 time in total.
Added the OA.
Senior Manager
Senior Manager
avatar
Joined: 30 Aug 2009
Posts: 286
Location: India
Concentration: General Management
Followers: 3

Kudos [?]: 117 [0], given: 5

Re: Representation in a local community board is based on the [#permalink] New post 10 Jan 2010, 23:52
sagarsabnis wrote:
Representation in a local community board is based on the community’s population, with 25 board members representing the first 500,000 people, and each additional board member representing an additional 30,000 people. Is the population of the town less than 500,000?

(1) There were 23 members on the community board.
(2) If the population were three times as large, the community board would have had 51 members.
[Reveal] Spoiler:
D


Please help on this one please....


here each of the 1st 25 members represent 20000 people [500000/25]

stmnt1 - 23 members will represent 23 * 20000 = 460000 people which is less than 500000. hence suff

stmnt2- total board members is 51 so 1st 25 represent 500000 people and remaining 26 will represent 26 * 30000 = 780000. So total population is 500000 + 780000 = 12 80 000 people. this is 3times the actual population so we have 1280000/3 which is less than 500000 as the actual population. hence suff

D
Manager
Manager
avatar
Joined: 22 Jul 2009
Posts: 204
Location: Manchester UK
Followers: 2

Kudos [?]: 116 [0], given: 6

Re: Representation in a local community board is based on the [#permalink] New post 11 Jan 2010, 14:44
oohh man i didnt read the word EACH carefully...now got it,,,
Manager
Manager
avatar
Joined: 06 Jan 2010
Posts: 73
Followers: 2

Kudos [?]: 9 [0], given: 15

Re: Representation in a local community board is based on the [#permalink] New post 11 Jan 2010, 15:24
both are sufficient
hence D
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29170
Followers: 4734

Kudos [?]: 49948 [0], given: 7517

Re: Representation in a local community board is based on the [#permalink] New post 11 Jan 2010, 16:16
Expert's post
kp1811 wrote:
sagarsabnis wrote:
Representation in a local community board is based on the community’s population, with 25 board members representing the first 500,000 people, and each additional board member representing an additional 30,000 people. Is the population of the town less than 500,000?

(1) There were 23 members on the community board.
(2) If the population were three times as large, the community board would have had 51 members.
[Reveal] Spoiler:
D


Please help on this one please....


here each of the 1st 25 members represent 20000 people [500000/25]

stmnt1 - 23 members will represent 23 * 20000 = 460000 people which is less than 500000. hence suff

stmnt2- total board members is 51 so 1st 25 represent 500000 people and remaining 26 will represent 26 * 30000 = 780000. So total population is 500000 + 780000 = 12 80 000 people. this is 3times the actual population so we have 1280000/3 which is less than 500000 as the actual population. hence suff

D


The answer is correct but there is a little problem with solution:

For (1). As there are less than 25 members, there is less then 500,000 population;

For (2). Consider this statement to be as follows: If the population were three times as large, the community board would have had 58 members.

What would be the answer in this case?
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 22 Jul 2009
Posts: 204
Location: Manchester UK
Followers: 2

Kudos [?]: 116 [0], given: 6

Re: Representation in a local community board is based on the [#permalink] New post 12 Jan 2010, 12:45
Whats the problem in the solution given by kp1811

@Bunuel for your question for st2 the total comes as 246,000 apprx so again st2 is suff...
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29170
Followers: 4734

Kudos [?]: 49948 [0], given: 7517

Re: Representation in a local community board is based on the [#permalink] New post 12 Jan 2010, 17:50
Expert's post
sagarsabnis wrote:
Whats the problem in the solution given by kp1811

@Bunuel for your question for st2 the total comes as 246,000 apprx so again st2 is suff...


If statement (2) were: "If the population were three times as large, the community board would have had 58 members."

Then according the solution given in previous posts the answer would be:
25 members represent first 500,00;
Remaining 33 will represent 33*30,000=990,000.
Total 500,00+990,000=1,490,000. As this is 3 times the current population, so we have 1,490,000/3=~497,000<500,000, hence sufficient.

But this would be wrong. As 1,490,000 will be the lowest possible population for 58 members, the highest would be 1,490,000+29,999=1,519,999. Meaning that 25 members for 500,000 plus 990,000 for 33 remaining members plus 29,999 of population with no member at all. In the case of highest possible population for 58 members, current population would be 1,519,999/3=~506,666>500,000. We have two answers one less than 500,000 another more. Not sufficient.

In our original question range for 51 members would be from 1,280,000(500,00+26*30,000) to 1,309,999(500,00+26*30,000+29,999). But as 1,309,999 (highest possible population for 51 members) divided by 3 is also less than 500,000 this didn't affect the final answer.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 22 Jul 2009
Posts: 204
Location: Manchester UK
Followers: 2

Kudos [?]: 116 [0], given: 6

Re: Representation in a local community board is based on the [#permalink] New post 13 Jan 2010, 11:26
ohhh... i didnt thought of 29,999 thanks a lot bunuel...
Intern
Intern
avatar
Joined: 17 Mar 2014
Posts: 31
Location: India
GMAT Date: 07-02-2015
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 10 [0], given: 24

Re: Representation in a local community board is based on the [#permalink] New post 26 May 2015, 17:35
1
This post was
BOOKMARKED
sagarsabnis wrote:
ohhh... i didnt thought of 29,999 thanks a lot bunuel...


can anyone please explain from where did 29,999 has come?
Expert Post
e-GMAT Representative
User avatar
Joined: 04 Jan 2015
Posts: 338
Followers: 65

Kudos [?]: 478 [0], given: 83

Re: Representation in a local community board is based on the [#permalink] New post 26 May 2015, 21:06
Expert's post
SivaKumarP wrote:
sagarsabnis wrote:
ohhh... i didnt thought of 29,999 thanks a lot bunuel...


can anyone please explain from where did 29,999 has come?


Hi SivaKumarP,

We are given that after the first 500,000 people, each board member represents an additional 30,000 people. So, there will be a maximum of 30,000 - 1 = 29,999 people who can be without a board member.

For example, if there are 25 board members, the lowest population will be 500,000 and the highest population for the same number of board members would be 500,000 + (30,000 - 1) = 529,999.

Hence in this question when we are given the number of board members, we would need to consider the range of the population to see if the total population is less than 500,000 or not.

Hope it's clear :)

Regards
Harsh
_________________

https://e-gmat.com/courses/quant-live-prep/

Image

Manager
Manager
User avatar
Status: I am not a product of my circumstances. I am a product of my decisions
Joined: 20 Jan 2013
Posts: 133
Location: India
Concentration: Operations, General Management
GPA: 3.92
WE: Operations (Energy and Utilities)
Followers: 3

Kudos [?]: 54 [0], given: 68

GMAT ToolKit User CAT Tests
Re: Representation in a local community board is based on the [#permalink] New post 26 May 2015, 21:18
SivaKumarP wrote:
sagarsabnis wrote:
ohhh... i didnt thought of 29,999 thanks a lot bunuel...


can anyone please explain from where did 29,999 has come?



For every 30,000 people, there is 1 member in the board.
Now what if there are 30,000 +29,999 = 59,999 people ??
There will stillbe only 1 member in the board who represents these 59,999 people.

Had there been 30,000 + 30,000 = 60,000 people, only then can 2 members represent these 60,000 people in the board.

Also, had there been only 29,999 people, then "NO" member can represent these 29,999 people in the board, since 29,999 < 30,000.

Please take a look at Bunuel's question and his explanation to get a clear idea.

Hope this clears your doubt.
Intern
Intern
avatar
Joined: 17 Mar 2014
Posts: 31
Location: India
GMAT Date: 07-02-2015
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 10 [0], given: 24

Re: Representation in a local community board is based on the [#permalink] New post 27 May 2015, 07:55
Thanks Harsh and AshishMathew, now able to understood it... :)
Re: Representation in a local community board is based on the   [#permalink] 27 May 2015, 07:55
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic In the decimal representation of x, where 0 < x < 1, is the stne 6 03 Mar 2014, 22:07
8 Experts publish their posts in the topic Does the graphical representation of the quadratic function shivanigs 12 02 Oct 2012, 23:20
4 Experts publish their posts in the topic What is the tenths digit in the decimal representation of a Bunuel 8 24 Sep 2012, 04:12
27 Experts publish their posts in the topic In the decimal representation of x, where 0 < x < 1, is the udaymathapati 9 17 Aug 2010, 05:37
2 Experts publish their posts in the topic What is the tenths digit in the decimal representation of a thinkblue 7 19 Apr 2009, 20:15
Display posts from previous: Sort by

Representation in a local community board is based on the

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.