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

It is currently 23 Sep 2014, 10:49

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

All of the members of club Y are either Democrats or Republi

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Director
Director
User avatar
Joined: 20 Aug 2007
Posts: 853
Location: Chicago
Schools: Chicago Booth 2011
Followers: 10

Kudos [?]: 82 [1] , given: 1

GMAT Tests User
All of the members of club Y are either Democrats or Republi [#permalink] New post 28 Jan 2008, 12:41
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (02:35) correct 38% (01:17) wrong based on 58 sessions
All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female members are Democrats, what is the ratio of the number of males to the number of females in the club?

(1) In club Y the number of female members is one less than the number of male members.
(2) In club Y the number of male Republican members is equal to the number of female Democratic members.
[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Sep 2013, 06:08, edited 1 time in total.
Edited the question and added the OA.
Director
Director
User avatar
Joined: 12 Jul 2007
Posts: 867
Followers: 12

Kudos [?]: 199 [0], given: 0

GMAT Tests User
Re: DS - club members [#permalink] New post 28 Jan 2008, 12:58
Statement 1
6:5 works, but so does 30:29 and those are different ratios.
INSUFFICIENT

Statement 2
1/2(m) = 3/5(f)
5/10(m) = 6/10(f)
30/60(m) = 30/50(f)
Ratio of 6:5 males to female
SUFFICIENT

Answer B
Intern
Intern
User avatar
Joined: 08 Jan 2013
Posts: 37
Followers: 0

Kudos [?]: 9 [0], given: 5

Re: All of the members of club Y are either Democrats or [#permalink] New post 14 Sep 2013, 06:04
You have solved the ratio for M:F in Republicans. Where did you get 30:29 from?

The question asks for M:F in Club Y, which is Republicans + Democrats. The question provides 4 categories, which can be referred to as MD, MR, FD and FR. Each member is a whole number because you can't have half a member in any category, so FD + FR is a multiple of 5 and that MD + MR is a multiple of 2. The question also states that FD > FR, and that MD = MR.

Statement 1: M = F + 1, or MD + MR = FD + (FR + 1).

If FD + FR = 5, then MR + MD = 6. This satisfies the information given, where FR = 2 and MD = 3.
If FD + FR = 10, then MR + MD = 11. This breaks with the information that MR + MD is divisible by 2.
If FD + FR = 15, then MR + MD = 16. This satisfies the information given, where FR = 6 and MD = 8.

Insufficient, but there is more information. Rearranging statement 1 gives MD - FD = FR + 1 - MR, or D = R + 1. In other words the ratio of M:F is equal to the ratio of D:R.

If FD = 3, FR =2 then MD = 3, MR = 3. D = 5, R = 6. This satisfies the information given.
If FD + FR = 15, then FD = 9 and FR = 6 and MD = 8 and MR =8. This means D = 17, R = 14. This breaks with the information that D = R + 1.

Therefore Statement 1 is sufficient to deduce the ratio of M:F is 6:5, no?

Last edited by stormbind on 15 Sep 2013, 04:51, edited 10 times in total.
Expert Post
1 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 627
Followers: 41

Kudos [?]: 579 [1] , given: 135

Premium Member
Re: All of the members of club Y are either Democrats or Republi [#permalink] New post 14 Sep 2013, 08:44
1
This post received
KUDOS
Expert's post
sonibubu wrote:
All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female members are Democrats, what is the ratio of the number of males to the number of females in the club?

(1) In club Y the number of female members is one less than the number of male members.
(2) In club Y the number of male Republican members is equal to the number of female Democratic members.


Let the total # of males be 2m and females be 5f.
Given that m males are democrats and m are republicans. Again, 2f are republicans and 3f are democrats.

F.S 1 states that 5f = 2m-1. Clearly Insufficient.

F.S 2 states that m=3f. Thus, the ratio of # of males to the # of females : \frac{2m}{5f} = \frac{6f}{5f} = \frac{6}{5}. Sufficient.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

Intern
Intern
User avatar
Joined: 08 Jan 2013
Posts: 37
Followers: 0

Kudos [?]: 9 [0], given: 5

Re: All of the members of club Y are either Democrats or Republi [#permalink] New post 15 Sep 2013, 04:18
* bump *

Why is my solution using only Statement 1, not equally valid?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 22982
Followers: 3517

Kudos [?]: 26743 [0], given: 2715

Re: All of the members of club Y are either Democrats or Republi [#permalink] New post 15 Sep 2013, 08:20
Expert's post
stormbind wrote:
All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female members are Democrats, what is the ratio of the number of males to the number of females in the club?

(1) In club Y the number of female members is one less than the number of male members.
(2) In club Y the number of male Republican members is equal to the number of female Democratic members.

Why is my solution using only Statement 1, not equally valid?


Cannot fully understand your solution but consider the following examples:

If m=6 and f=5, then the ratio is 6/5.
If m=16 and f=15, then the ratio is 16/15.

Two different ratios. Hence insufficient.

Hope it helps.
_________________

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

PLEASE READ AND FOLLOW: 11 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 NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: All of the members of club Y are either Democrats or Republi   [#permalink] 15 Sep 2013, 08:20
    Similar topics Author Replies Last post
Similar
Topics:
117 Experts publish their posts in the topic ALL SC Rules+Official Qs by Experts & Legendary Club Members bagdbmba 20 10 Jan 2013, 11:25
90 Experts publish their posts in the topic ALL RC Strategy+Official Q by Experts&Legendary Club Members bagdbmba 18 31 Dec 2012, 03:46
all the 700 club members please read and advice gter 6 20 Dec 2005, 14:08
If 20 percent of the members in club A are members of club B getzgetzu 1 24 Nov 2005, 01:07
All of the members of club Y are either Democrats or Janice 12 08 Jan 2005, 14:10
Display posts from previous: Sort by

All of the members of club Y are either Democrats or Republi

  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®.