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

It is currently 10 Dec 2019, 09:04

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

The population of a city vote for one among 4 political parties, A, B

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59634
The population of a city vote for one among 4 political parties, A, B  [#permalink]

Show Tags

New post 05 Nov 2019, 01:54
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

26% (02:48) correct 74% (03:37) wrong based on 38 sessions

HideShow timer Statistics

The population of a city vote for one among 4 political parties, A, B, C and D. 25% of the voters are committed to party B, 25% to party C and 10% to party D. 10% of the total voters fluctuate and can vote for any party. 50% of the voters are female and 50% of the voters committed to party D are male. Of the voters who fluctuate, half are female. Party B does not have any committed female voters while party C does not have any committed male voters. If all the voters except those who fluctuate cast their votes, what percent of the male votes will be won by party A?

A. 16.66%
B. 25%
C. 30%
D. 33.33%
E. 35%


Are You Up For the Challenge: 700 Level Questions

_________________
VP
VP
User avatar
V
Joined: 19 Oct 2018
Posts: 1167
Location: India
Premium Member CAT Tests
Re: The population of a city vote for one among 4 political parties, A, B  [#permalink]

Show Tags

New post 05 Nov 2019, 07:27
1
1
Assume total population=LCM(8,10)=40

percent of the male votes will be won by party A= \(\frac{(20-10-2-2)}{(20-2)}*100\)=33.33%

Bunuel wrote:
The population of a city vote for one among 4 political parties, A, B, C and D. 25% of the voters are committed to party B, 25% to party C and 10% to party D. 10% of the total voters fluctuate and can vote for any party. 50% of the voters are female and 50% of the voters committed to party D are male. Of the voters who fluctuate, half are female. Party B does not have any committed female voters while party C does not have any committed male voters. If all the voters except those who fluctuate cast their votes, what percent of the male votes will be won by party A?

A. 16.66%
B. 25%
C. 30%
D. 33.33%
E. 35%


Are You Up For the Challenge: 700 Level Questions

Attachments

Untitled.png
Untitled.png [ 5.3 KiB | Viewed 545 times ]

Manager
Manager
avatar
S
Joined: 10 Dec 2017
Posts: 151
Location: India
CAT Tests
Re: The population of a city vote for one among 4 political parties, A, B  [#permalink]

Show Tags

New post 05 Nov 2019, 22:26
Bunuel wrote:
The population of a city vote for one among 4 political parties, A, B, C and D. 25% of the voters are committed to party B, 25% to party C and 10% to party D. 10% of the total voters fluctuate and can vote for any party. 50% of the voters are female and 50% of the voters committed to party D are male. Of the voters who fluctuate, half are female. Party B does not have any committed female voters while party C does not have any committed male voters. If all the voters except those who fluctuate cast their votes, what percent of the male votes will be won by party A?

A. 16.66%
B. 25%
C. 30%
D. 33.33%
E. 35%


Are You Up For the Challenge: 700 Level Questions

\(A+B+C+D+F(Fluctuate)=100\)
\(A+25+25+10+10=100\)
\((AM+AF)+(BM+BF)+(CM+CF)+(DM+DF)+10=100\)
\(AF+BF+CF+DF+F'=50 and AM+BM+CM+DM+F''=50, (F'+F''=10)\)
\(DF=5, DM=5,F'=5, F''=5, BF=0, CM=0\)
\(AF+0+25+5+5=50\)
\(AF=15\)
\(AM+25+0+5+5=50\)
\(AM=15\)
\(A= 30\)
But male voters except those who fluctuate= 15-5=10
male % won by A=\(10/30\)
33.33
D:)
Intern
Intern
avatar
B
Joined: 11 Sep 2018
Posts: 11
Re: The population of a city vote for one among 4 political parties, A, B  [#permalink]

Show Tags

New post 08 Nov 2019, 15:36
nick1816 wrote:
Assume total population=LCM(8,10)=40

percent of the male votes will be won by party A= \(\frac{(20-10-2-2)}{(20-2)}*100\)=33.33%

Bunuel wrote:
The population of a city vote for one among 4 political parties, A, B, C and D. 25% of the voters are committed to party B, 25% to party C and 10% to party D. 10% of the total voters fluctuate and can vote for any party. 50% of the voters are female and 50% of the voters committed to party D are male. Of the voters who fluctuate, half are female. Party B does not have any committed female voters while party C does not have any committed male voters. If all the voters except those who fluctuate cast their votes, what percent of the male votes will be won by party A?

A. 16.66%
B. 25%
C. 30%
D. 33.33%
E. 35%


Are You Up For the Challenge: 700 Level Questions



Can you help me understand how did you arrive at this solution?
Intern
Intern
avatar
B
Joined: 24 Aug 2017
Posts: 7
Re: The population of a city vote for one among 4 political parties, A, B  [#permalink]

Show Tags

New post 09 Nov 2019, 00:41
nick1816 wrote:
Assume total population=LCM(8,10)=40

percent of the male votes will be won by party A= \(\frac{(20-10-2-2)}{(20-2)}*100\)=33.33%

Bunuel wrote:
The population of a city vote for one among 4 political parties, A, B, C and D. 25% of the voters are committed to party B, 25% to party C and 10% to party D. 10% of the total voters fluctuate and can vote for any party. 50% of the voters are female and 50% of the voters committed to party D are male. Of the voters who fluctuate, half are female. Party B does not have any committed female voters while party C does not have any committed male voters. If all the voters except those who fluctuate cast their votes, what percent of the male votes will be won by party A?

A. 16.66%
B. 25%
C. 30%
D. 33.33%
E. 35%


Are You Up For the Challenge: 700 Level Questions

How did you get 40? 8 and 10 came from where?

Posted from my mobile device
Intern
Intern
avatar
B
Joined: 25 Feb 2019
Posts: 26
GMAT 1: 520 Q43 V20
Re: The population of a city vote for one among 4 political parties, A, B  [#permalink]

Show Tags

New post 09 Nov 2019, 08:56
satya2029 wrote:
Bunuel wrote:
The population of a city vote for one among 4 political parties, A, B, C and D. 25% of the voters are committed to party B, 25% to party C and 10% to party D. 10% of the total voters fluctuate and can vote for any party. 50% of the voters are female and 50% of the voters committed to party D are male. Of the voters who fluctuate, half are female. Party B does not have any committed female voters while party C does not have any committed male voters. If all the voters except those who fluctuate cast their votes, what percent of the male votes will be won by party A?

A. 16.66%
B. 25%
C. 30%
D. 33.33%
E. 35%


Are You Up For the Challenge: 700 Level Questions

\(A+B+C+D+F(Fluctuate)=100\)
\(A+25+25+10+10=100\)
\((AM+AF)+(BM+BF)+(CM+CF)+(DM+DF)+10=100\)
\(AF+BF+CF+DF+F'=50 and AM+BM+CM+DM+F''=50, (F'+F''=10)\)
\(DF=5, DM=5,F'=5, F''=5, BF=0, CM=0\)
\(AF+0+25+5+5=50\)
\(AF=15\)
\(AM+25+0+5+5=50\)
\(AM=15\)
\(A= 30\)
But male voters except those who fluctuate= 15-5=10
male % won by A=\(10/30\)
33.33
D:)

Could you please explain why did you subtract 5 from the male voters since the count of 15 already had no fluctuating voters, even i followed the same approach and got the same number except the final answer. Since the question tells to remove the fluctuating voters i found the probability using 15/90 instead it should have been 15/30 where m i going wrong?

Posted from my mobile device
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8659
Location: United States (CA)
Re: The population of a city vote for one among 4 political parties, A, B  [#permalink]

Show Tags

New post 11 Nov 2019, 14:40
Bunuel wrote:
The population of a city vote for one among 4 political parties, A, B, C and D. 25% of the voters are committed to party B, 25% to party C and 10% to party D. 10% of the total voters fluctuate and can vote for any party. 50% of the voters are female and 50% of the voters committed to party D are male. Of the voters who fluctuate, half are female. Party B does not have any committed female voters while party C does not have any committed male voters. If all the voters except those who fluctuate cast their votes, what percent of the male votes will be won by party A?

A. 16.66%
B. 25%
C. 30%
D. 33.33%
E. 35%


Are You Up For the Challenge: 700 Level Questions


We can let the total number of voters be 200 (100 male and 100 female). So 50 voters (all of whom are male) are committed to party B, 50 voters (all of whom are female) to party C, and 20 voters (10 male and 10 female) to party D, leaving 20 voters (10 male and 10 female) to fluctuate. Thus, the remaining 30 male and 30 female voters are committed to party A. Since 90 male voters (all except the 10 who fluctuate) will cast their votes, 30/90 = 1/3 = 33.33% of the male votes will be won by party A.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Director
Director
User avatar
V
Joined: 28 Jul 2016
Posts: 675
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)
Reviews Badge
Re: The population of a city vote for one among 4 political parties, A, B  [#permalink]

Show Tags

New post 11 Nov 2019, 20:54
Male Female Total
A 15 15 30
B 25 0 25
C 0 25 25
D 5 5 10
Non 5 5 10
100

Hence total male percent =\( \frac{15}{45}*100\)
thus 33.3%
D
GMAT Club Bot
Re: The population of a city vote for one among 4 political parties, A, B   [#permalink] 11 Nov 2019, 20:54
Display posts from previous: Sort by

The population of a city vote for one among 4 political parties, A, B

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne