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

It is currently 11 Feb 2016, 16:28
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

When 2/9 of the votes on a certain resolution have been

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 31 Oct 2011
Posts: 323
Followers: 1

Kudos [?]: 529 [0], given: 18

When 2/9 of the votes on a certain resolution have been [#permalink] New post 02 Mar 2012, 09:44
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (04:19) correct 35% (02:29) wrong based on 139 sessions
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14
[Reveal] Spoiler: OA
Expert Post
3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 31297
Followers: 5359

Kudos [?]: 62437 [3] , given: 9455

Re: PT #9 PS 8 Q 20 [#permalink] New post 02 Mar 2012, 09:55
3
This post received
KUDOS
Expert's post
eybrj2 wrote:
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14


If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.

"2/9 of the votes on a certain resolution have been counted" --> 4 counted and 18-4=14 votes left to be counted;
"3/4 of those counted are in favor of the resolution" --> 3 in favor and 1 against;

Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of 18*2/3=12 people who voted against, so in the remaining 14 votes there should be 12-1=11 people who voted against. Thus 11/14 of the remaining votes must be against.

Answer: A.
_________________

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

1 KUDOS received
Manager
Manager
avatar
Joined: 22 Feb 2012
Posts: 93
Schools: HBS '16
GMAT 1: 740 Q49 V42
GMAT 2: 670 Q42 V40
GPA: 3.47
WE: Corporate Finance (Aerospace and Defense)
Followers: 2

Kudos [?]: 22 [1] , given: 25

GMAT ToolKit User
Re: When 2/9 of the votes on a certain resolution have been [#permalink] New post 02 Mar 2012, 09:59
1
This post received
KUDOS
Final Result needs to be 2/3 Not in Favor

We already know of the 2/9th counted that we have 2/9 * 1/4 = 1/18

So then the question is how much of the 7/9 to go do we need to get to 2/3

Or:

1/18 + (7* x)/9 = 2/3

(14y +1)/18 = 2/3
14y+1= 12
y = 11/14 or answer is A
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 8217
Followers: 417

Kudos [?]: 111 [0], given: 0

Top 10 in overall
Re: When 2/9 of the votes on a certain resolution have been [#permalink] New post 02 Mar 2014, 07:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 31

Kudos [?]: 1360 [1] , given: 193

Re: PT #9 PS 8 Q 20 [#permalink] New post 02 Mar 2014, 19:09
1
This post received
KUDOS
Bunuel wrote:
eybrj2 wrote:
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14


If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.

"2/9 of the votes on a certain resolution have been counted" --> 4 counted and 18-4=14 votes left to be counted;
"3/4 of those counted are in favor of the resolution" --> 3 in favor and 1 against;

Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of 18*2/3=12 people who voted against, so in the remaining 14 votes there should be 12-1=11 people who voted against. Thus 11/14 of the remaining votes must be against.

Answer: A.


Did in the same way, just created a table as below
Attachments

jpg.jpg
jpg.jpg [ 63.45 KiB | Viewed 1309 times ]


_________________

Kindly press "+1 Kudos" to appreciate :)

Manager
Manager
avatar
Joined: 26 Feb 2012
Posts: 116
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)
Followers: 0

Kudos [?]: 16 [0], given: 56

Re: PT #9 PS 8 Q 20 [#permalink] New post 17 Mar 2014, 19:30
Bunuel wrote:
eybrj2 wrote:
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14


If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.

"2/9 of the votes on a certain resolution have been counted" --> 4 counted and 18-4=14 votes left to be counted;
"3/4 of those counted are in favor of the resolution" --> 3 in favor and 1 against;

Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of 18*2/3=12 people who voted against, so in the remaining 14 votes there should be 12-1=11 people who voted against. Thus 11/14 of the remaining votes must be against.....Not understood ....Pleas clarify

Answer: A.


Hi Bunuel
My fault ...now i understood.....
Intern
Intern
avatar
Joined: 10 Mar 2014
Posts: 4
Followers: 0

Kudos [?]: 1 [0], given: 9

Re: When 2/9 of the votes on a certain resolution have been [#permalink] New post 04 May 2014, 23:39
eybrj2 wrote:
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14


Let's say there were 90 votes.
2/9 Votes = 20
Out of 20 3/4 in favour = 15 and remaining against = 5

For 2:1 against to favour ratio out of 90 votes= 30:60
Mores votes needed against = 60 - 5 = 55
Remaining votes = 90-20 = 70

Ratio to remaining = 55:70 = 11:14
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 8217
Followers: 417

Kudos [?]: 111 [0], given: 0

Top 10 in overall
Re: When 2/9 of the votes on a certain resolution have been [#permalink] New post 09 Nov 2015, 07:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
avatar
Joined: 13 Sep 2015
Posts: 10
Followers: 0

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

Re: When 2/9 of the votes on a certain resolution have been [#permalink] New post 14 Nov 2015, 02:21
eybrj2 wrote:
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14


Solution:

Lets use the plug in method to solve this question.

The question states that 2/9th of the votes are counted 3/4th are in favour of the resolution. Lets take a value for the the total number of votes. While we can take any value its smart to take a value which is a multiple of 9 as we know that the first part of the question says 2/9th of the votes are counted. Lets assume the total number of votes = 18.

Part 1 : 2/9 of the votes are counted = 2/9*18 = 4. It further states that 3/4 of the counted votes are in favour, which means 3/4*4 = 3 are in favour.

The question is asking what number of the remaining votes should be against the resolution such that we get a final count of 2:1 against the resolution.

Part 2: Which means: we need 2/3*18 = 12 votes against the resolution. We know from part 1 that 1 vote is against the resolution out of a total of 4 counted votes. Therefore we need another 11 votes out of a remaining (18-4) votes to be against the resolution to get a final ratio of 2:1.

Therefore the ratio of votes which need to be against the reolution out of the remaining votes will be = 11/14.

Thus, Answer is A.

Tip - It makes more sense to plug in a value for total number of votes rather than solving it in fraction form as it simplifies calculations.
Senior Manager
Senior Manager
User avatar
Joined: 17 Dec 2012
Posts: 406
Location: India
Followers: 21

Kudos [?]: 318 [0], given: 10

Re: When 2/9 of the votes on a certain resolution have been [#permalink] New post 14 Nov 2015, 03:19
eybrj2 wrote:
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14


Based on the denominators in the fractions 2/9 and 3/4, let us assume there are 36 votes.

2/9 are counted i.e., 8 counted out of 36
3/4 of counted in favor i.e, 6 are in favor and 2 are against out of 8 counted
Against given 2 to 1 i.e, 24 to 12 against out of 36
Remaining against = 24-2=22
Remaining Votes :28
Answer is 22/28=11/14
_________________

Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravnatestprep.com

Classroom Courses in Chennai
Free Online Material

Senior Manager
Senior Manager
User avatar
Joined: 11 Jun 2011
Posts: 376
Location: India
WE: Corporate Finance (Commercial Banking)
Followers: 4

Kudos [?]: 71 [0], given: 87

GMAT ToolKit User
When 2/9 of the votes on a certain resolution have been [#permalink] New post 14 Nov 2015, 10:23
eybrj2 wrote:
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?


Let the total number of voters be 36 ( LCM of the denominators 4 & 9)

eybrj2 wrote:
When 2/9 of the votes on a certain resolution have been counted


Total number of votes counted is (2/9*36) = 8
Total number of votes not counted is ( 36-8) = 28

eybrj2 wrote:
3/4 of thoes counted are in favor of the resolution.


Total number of voters in favour of the resolution whose votes have been counted is (8*3/4) =6
Total number of voters against whose votes have been counted is (8-6) = 2

eybrj2 wrote:
What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?


Total number of votes required for 2 : 1 against the vote is = 36*2/3 =>24

Out of 24 total votes we already have 2 votes against the resolution so out of the remainin 28 votes ( which have not been counted) we required 24 votes.

So, The effective percentage of votes required is 22/28 =>11/14

Hence Answer is (A)
When 2/9 of the votes on a certain resolution have been   [#permalink] 14 Nov 2015, 10:23
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic Of the votes cast on a certain proposal, 80 more were in favor of the Bunuel 7 24 Nov 2015, 09:31
7 Experts publish their posts in the topic The 39 parents participating in the Smithville PTA have been violetsplash 5 27 Sep 2013, 06:33
4 Experts publish their posts in the topic Of the 800 employees of company X, 70% have been with the abhi_ferrari 7 03 Aug 2007, 19:01
8 Experts publish their posts in the topic When 2/9 of the votes on a certain resolution have been coun Jamesk486 5 15 May 2007, 18:50
20 In a certain region, the number of children who have been lan583 7 06 Sep 2006, 11:15
Display posts from previous: Sort by

When 2/9 of the votes on a certain resolution have been

  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®.