GMAT Question of the Day - Daily to your Mailbox; hard ones only
close

It is currently 16 Feb 2019, 09:41
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

  • Free GMAT Algebra Webinar

     February 17, 2019

     February 17, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
    GMAT: Verbal | GMAT: Quantitative | Free

  • Free GMAT Strategy Webinar

     February 16, 2019

     February 16, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
    GMAT: Verbal | GMAT: Quantitative | Free
CLICK HERE TO HIDE/SHOW EVENTS

In an election between two candidates, 75% of the voters cast their

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52902
Premium Member
Top Member of the Month
In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post Updated on: 14 Oct 2018, 23:58
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (02:51) correct 9% (03:14) wrong based on 63 sessions

HideShow timer Statistics

In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of voters enrolled in that election.

A. 16800
B. 32019
C. 23000
D. 21413
E. 31527
Spoiler: OA

_________________

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


Originally posted by Bunuel on 13 Apr 2017, 00:40.
Last edited by Bunuel on 14 Oct 2018, 23:58, edited 1 time in total.
Edited the question.
SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
Schools: Stern '21, HEC Sept19 intake, Rotman '21
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member
Re: In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post 13 Apr 2017, 02:28
2
75% of valid votes = 9261
Valid votes = (9261 * 4)/3 = 3087 * 4 = 12348

(75% - 1.5% = approx. 75%) of Total voters = 12348
Total voters = (12348 * 4)/3 = 4116 * 4 = Close to 16000

Answer: A
Senior Manager
Senior Manager
avatar
G
Joined: 21 Aug 2016
Posts: 261
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge
Re: In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post 14 Apr 2017, 04:20
Total number of the enrolled voters=x

x*(0.75)*(0.98)*(0.75)=9261

x=16800

Correct answer is A
Intern
Intern
User avatar
B
Joined: 19 Mar 2015
Posts: 16
Location: India
Re: In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post 14 Apr 2017, 10:22
1
1
In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.

As it seems 75% of the voters cast their votes I believe the ans X=(9261*100*100)/(98*75)=12600 Note - the question is total number of votes enrolled in election

If the question was total number of voters then ans X=(12600*100)/75=16800
SVP
SVP
avatar
P
Joined: 12 Dec 2016
Posts: 1592
Location: United States
Schools: Stanford '19, LBS '19, Carroll '19
GMAT 1: 700 Q49 V33
GPA: 3.64
GMAT ToolKit User Premium Member
Re: In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post 14 Apr 2017, 10:47
hello, i want to ask a question. So, basically, the voting system work based on the US ballot system? In other word, 1 person is only able to cast one vote?
SVP
SVP
avatar
P
Joined: 12 Dec 2016
Posts: 1592
Location: United States
Schools: Stanford '19, LBS '19, Carroll '19
GMAT 1: 700 Q49 V33
GPA: 3.64
GMAT ToolKit User Premium Member
Re: In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post 14 Apr 2017, 10:56
Vyshak wrote:
75% of valid votes = 9261
Valid votes = (9261 * 4)/3 = 3087 * 4 = 12348

(75% - 1.5% = approx. 75%) of Total voters = 12348
Total voters = (12348 * 4)/3 = 4116 * 4 = Close to 16000

Answer: A


your answer is still unconvincing, it is because if the right answer is either C or D, there is no way to choose the answer using your method of calculation
Manager
Manager
avatar
S
Joined: 05 Nov 2016
Posts: 88
GMAT ToolKit User
Re: In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post 14 Apr 2017, 11:31
Assuming total voters enrolled to be 100.

For 75% valid votes.. which makes # of votes as 75..
out of which 2% is invalid ..\(\frac{75*2}{100}\) = 1.5.. total valid votes are 75-1.5=73.5

Now for 73.5 votes 75% are valid .
By general cross method

100 - 73.5*75%
? - 9261

=>\(\frac{(9261*100)}{(75 \%*73.5 )}\)
=>\(\frac{(9261*100*100)}{(75*73.5)}\)
dividing by 25(100 & 75) and 7(9261 & 73.5) and then simplifying gives 16800
_________________

Kudos are always welcome ... as well your suggestions

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2464
Premium Member CAT Tests
Top Member of the Month
In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post 22 Apr 2017, 16:39
chesstitans, yes, in the U.S. the system is SUPPOSED to be one person, one vote.

I think there is a typo in the question. I think the question needs to ask about total voteRs, not votes. See sreenu7464 's post.

Bunuel?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52902
Premium Member
Top Member of the Month
Re: In an election between two candidates, 75% of the voters cast their  [#permalink]

Show Tags

New post 15 Oct 2018, 00:00
generis wrote:
chesstitans, yes, in the U.S. the system is SUPPOSED to be one person, one vote.

I think there is a typo in the question. I think the question needs to ask about total voteRs, not votes. See sreenu7464 's post.

Bunuel?

______________________
Fixed the typo. Thank you.
_________________

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

GMAT Club Bot
Re: In an election between two candidates, 75% of the voters cast their   [#permalink] 15 Oct 2018, 00:00
Print view
First unread post
Display posts from previous: Sort by

In an election between two candidates, 75% of the voters cast their

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: chetan2u, Bunuel, VeritasKarishma, Gladiator59, generis

Search for:


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions