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

It is currently 17 Aug 2018, 19:58

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

At a certain soccer club, the number of players increased by 10 percen

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47977
At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post Updated on: 04 Dec 2017, 03:24
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

63% (01:56) correct 37% (03:13) wrong based on 219 sessions

HideShow timer Statistics

At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2015?


A. 1:3
B. 1:2
C. 3:2
D. 2:1
E. 3:1

_________________

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 21 Apr 2017, 07:45.
Last edited by Bunuel on 04 Dec 2017, 03:24, edited 1 time in total.
Edited the question.
Senior Manager
Senior Manager
avatar
G
Joined: 24 Apr 2016
Posts: 333
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 21 Apr 2017, 10:45
1
3
Let number of Male players in 2015 = 100M
Let number of Female players in 2015 = 100F

Total number of players in 2015 = 100(M+F)

Given: the number of players increased by 10 percent between 2015 and 2016

Total number of players in 2016 = 100(M+F) * 1.1 = 110(M+F)

Given: number of male players decreased by 5 percent

Total number of Male players in 2016 = 0.95 * 100M = 95M

Given: number of female players increased by 15 percent

Total number of Female players in 2016 = 1.15 * 100F = 115F

Therefore

95M+115F = 110(M+F) = 110M+110F

5F = 15M
F = 3M
F/M = 3/1

Answer is E. 3:1
Intern
Intern
avatar
S
Joined: 29 Jan 2017
Posts: 48
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 17 Jun 2017, 17:06
1
Overall average +10%
Female +15% (difference of 5)
Male -5% (different of 15)

-5%-----------10%----15%
M-------------Avg-----F
5:15

Question asks F:M so answer is 3:1 (E)
Director
Director
User avatar
D
Joined: 04 Dec 2015
Posts: 700
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 17 Jun 2017, 21:03
2
Bunuel wrote:
At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2016?

A. 1:3
B. 1:2
C. 3:2
D. 2:1
E. 3:1


Total number of players in 2015 = Men + Women \(= m + w\)

Total number of players increased by 10% in 2016 = 110% of (m + w) = \(\frac{110}{100} * (m + w) = 1.10 (m + w)\)

Number of male players decreased by 5% in 2016 = 95% of m = \(\frac{95}{100} * m = 0.95m\)

Number of female players increased by 15% in 2016 = 115% of w = \(\frac{115}{100} * w = 1.15w\)


Total number of players in 2016 is as given;

\(1.10(m + w) = 0.95m + 1.15w\)

\(1.10m + 1.10w = 0.95m + 1.15w\)

\(1.10m - 0.95m = 1.15w - 1.10w\)

\(0.15m = 0.05w\)

\(\frac{w}{m} = \frac{0.15}{0.05} = \frac{15}{5} = \frac{3}{1}\)

Required ratio of Female to Male players in 2016 \(= 3:1\) . Answer (E)...
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3040
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 17 Jun 2017, 23:57
Assume total number of players to be 1200(in 2015)
Since there is an increase of 10% in 2016, the number of players will be 1320
We have the increase of female players as 15% over the previous year
and the decrease of male players as 5% over the previous year.
Since evaluating the answer options, containing the ratio of female to male players :

Option A(1:3)
Initial Split : 900-Male,300-Female Total : 1200
Final Split : Male : 900-5%(45) = 855, Female: 300+15%(45) = 345 Total : 1200(not equal to 1320)

Option B(1:2)
Initial Split : 800-Male,400-Female Total : 1200
Final Split : Male : 800-5%(40) = 760, Female: 400+15%(60) = 460 Total : 1220(not equal to 1320)

Option C(3:2)
Initial Split : 480-Male,720-Female Total : 1200
Final Split : Male : 480-5%(24) = 456, Female: 720+15%(108) = 828 Total : 1284(not equal to 1320)

Option D(2:1)
Initial Split : 400-Male,800-Female Total : 1200
Final Split : Male : 400-5%(20) = 380, Female: 800+15%(120) = 920 Total : 1200(not equal to 1320)

Option E(3:1)
Initial Split : 300-Male,900-Female Total : 1200
Final Split : Male : 300-5%(15) = 285, Female:900+15%(135) = 1035 Total : 1320
Hence Option E is the correct answer option.
_________________

You've got what it takes, but it will take everything you've got

Senior Manager
Senior Manager
User avatar
G
Joined: 03 Apr 2013
Posts: 290
Location: India
Concentration: Marketing, Finance
Schools: Simon '20
GMAT 1: 740 Q50 V41
GPA: 3
GMAT ToolKit User
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 02 Dec 2017, 06:33
1
Bunuel wrote:
At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2016?

A. 1:3
B. 1:2
C. 3:2
D. 2:1
E. 3:1


Bunuel
VeritasPrepKarishma

Hi, don't you think 3:1 is the ratio of female to male in 2015, and not in 2016?

Please confirm.
_________________

Spread some love..Like = +1 Kudos :)

Intern
Intern
avatar
B
Joined: 28 Apr 2017
Posts: 42
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 03 Dec 2017, 02:37
1
Yes that's my question The ratio mentioned in the options and calculated by everyone is for 2015. ratio for 2016 should be (115*3)/95
Intern
Intern
avatar
B
Joined: 26 Oct 2017
Posts: 28
Re: At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 03 Dec 2017, 03:18
1
In 2015:
Let total be 100
No of males =x
No of females =100-x

In 2016
Total =110
Males =0.95x
Females =1.15(100-x)

0.95x + 1.15(100-x)=110

X=25

Now what is asked-

Females / males =0.95*25/1.15*75

Where I am going wrong
Bunuel?


Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47977
At a certain soccer club, the number of players increased by 10 percen  [#permalink]

Show Tags

New post 04 Dec 2017, 03:27
Bunuel wrote:
At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2015?


A. 1:3
B. 1:2
C. 3:2
D. 2:1
E. 3:1


Edited the question. It asks about the ration in 2015.

Veritas Prep Official Solution:



We can solve this one with the weighted average mapping strategy or with algebra. For the mapping strategy:

-5%...............10%......15%

M..........15...........5......F

This gives us a female:male ratio of 15:5, or 3:1.

To solve algebraically, we can set up the following equation:
\(1.1(f+m)=1.15f+.95m\). By manipulating, we can get to \(0.15m =0.05f\), or \(\frac{f}{m}=\frac{0.15}{0.05}=\frac{3}{1}\).

Answer: E.
_________________

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

At a certain soccer club, the number of players increased by 10 percen &nbs [#permalink] 04 Dec 2017, 03:27
Display posts from previous: Sort by

At a certain soccer club, the number of players increased by 10 percen

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

Events & Promotions

PREV
NEXT


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®.