January 26, 2019 January 26, 2019 07:00 AM PST 09:00 AM PST Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions. January 27, 2019 January 27, 2019 07:00 AM PST 09:00 AM PST Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 12 May 2012
Posts: 70
Location: India
Concentration: General Management, Operations
GMAT 1: 650 Q51 V25 GMAT 2: 730 Q50 V38
GPA: 4
WE: General Management (Transportation)

In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
24 Jun 2012, 02:43
Question Stats:
43% (02:31) correct 57% (02:31) wrong based on 605 sessions
HideShow timer Statistics
In a certain club, every member likes red wine or white wine or both. If the number of club members that like red wine and do not like white wine is three times the number of club members that like white wine and do not like red wine, then what is the number of club members that like both red wine and white wine? (1) The total number of club members is 60. (2) The number of club members that do not like white wine is three times that number of club members that do like white wine.
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 52430

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
24 Jun 2012, 03:10
In a certain club, every member likes red wine or white wine or both. If the number of club members that like red wine and do not like white wine is three times the number of club members that like white wine and do not like red wine, then what is the number of club members that like both red wine and white wine?Since in the club every member likes red wine or white wine or both, then there are no members who like neither of the wines, so we have that: {Total}={Red}+{White}{Both}. Also given that {Red}{Both}=3*({White}{Both}) > {Red}=3*{White}2*{Both}. So, {Total}=(3*{White}2{Both})+{White}{Both} > {Total}=4*{White}3*{Both}The question is asks about {Both}=?(1) The total number of club members is 60 > 60=4*{White}3*{Both}. Two unknowns. Not sufficient. (2) The number of club members that do not like white wine is three times that number of club members that do like white wine > {Total}{White}=3*{White} > {Total}=4*{White}. So, 4*{White}=4*{White}3*{Both} > 3*{Both}=0 > {Both}=0. Sufficient. Answer: B. Hope it's clear.
_________________
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? Extrahard Quant Tests with Brilliant Analytics




Intern
Joined: 20 Jun 2011
Posts: 44

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
10 Aug 2012, 15:19
Bunuel wrote: In a certain club, every member likes red wine or white wine or both. If the number of club members that like red wine and do not like white wine is three times the number of club members that like white wine and do not like red wine, then what is the number of club members that like both red wine and white wine?
Since in the club every member likes red wine or white wine or both, then there are no members who like neither of the wines, so we have that: {Total}={Red}+{White}{Both}.
Also given that {Red}{Both}=3*({White}{Both}) > {Red}=3*{White}2*{Both}. So, {Total}=(3*{White}2{Both})+{White}{Both} > {Total}=4*{White}3*{Both}
The question is asks about {Both}=?
(1) The total number of club members is 60 > 60=4*{White}3*{Both}. Two unknowns. Not sufficient.
(2) The number of club members that do not like white wine is three times that number of club members that do like white wine > {Total}{White}=3*{White} > {Total}=4*{White}. So, 4*{White}=4*{White}3*{Both} > 3*{Both}=0 > {Both}=0. Sufficient.
Answer: B.
Hope it's clear. Doing the set matrix:  red not red tot white  ?  x not white  3x  0 tot 2)  red not red tot white  ?  x  y not white  3x  0  3y tot So, y=x. and this implies white/red = 0 Is this the right reasoning?



Math Expert
Joined: 02 Sep 2009
Posts: 52430

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
10 Aug 2012, 23:54
superpus07 wrote: Bunuel wrote: In a certain club, every member likes red wine or white wine or both. If the number of club members that like red wine and do not like white wine is three times the number of club members that like white wine and do not like red wine, then what is the number of club members that like both red wine and white wine?
Since in the club every member likes red wine or white wine or both, then there are no members who like neither of the wines, so we have that: {Total}={Red}+{White}{Both}.
Also given that {Red}{Both}=3*({White}{Both}) > {Red}=3*{White}2*{Both}. So, {Total}=(3*{White}2{Both})+{White}{Both} > {Total}=4*{White}3*{Both}
The question is asks about {Both}=?
(1) The total number of club members is 60 > 60=4*{White}3*{Both}. Two unknowns. Not sufficient.
(2) The number of club members that do not like white wine is three times that number of club members that do like white wine > {Total}{White}=3*{White} > {Total}=4*{White}. So, 4*{White}=4*{White}3*{Both} > 3*{Both}=0 > {Both}=0. Sufficient.
Answer: B.
Hope it's clear. Doing the set matrix:  red not red tot white  ?  x not white  3x  0 tot 2)  red not red tot white  ?  x  y not white  3x  0  3y tot So, y=x. and this implies white/red = 0 Is this the right reasoning? Yes, your approach is correct.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Joined: 14 May 2011
Posts: 254
Location: Costa Rica
Concentration: Healthcare, International Business
GMAT 1: 710 Q42 V45 GMAT 2: 740 Q48 V42
GPA: 3.3
WE: Research (Consulting)

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
12 Aug 2012, 09:42
manulath wrote: (2) The number of club members that do not like white wine is three times that number of club members that do like white wine.
x Ah, i failed to carefully read (2) where it says at the end "..number of club members that do like white wine", which is the sum of those who like Both + those who like only like White wine (as opposed to those who only like white)
_________________
How to improve your RC score, pls Kudo if helpful! http://gmatclub.com/forum/howtoimprovemyrcaccuracy117195.html Work experience (as of June 2012) 2.5 yrs (Currently employed)  Mckinsey & Co. (US Healthcare Analyst) 2 yrs  Advertising industry (client servicing)



Intern
Joined: 02 Nov 2009
Posts: 38
Location: India
Concentration: General Management, Technology
GMAT Date: 04212013
GPA: 4
WE: Information Technology (Internet and New Media)

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
16 Sep 2012, 05:59
Let a > no of ppl who like Red wine alone c >no of ppl who like white wine alone b > no of ppl who like both from the question a=3c and we have to find b 1) a+b+c = 60.. nothing can be inferred abt b 2) a=3(b+c) and from the question we know a=3c which implies b=0 hence 2 alone is sufficient
_________________
KPV



Intern
Joined: 10 Feb 2017
Posts: 36
Location: Viet Nam
GPA: 3.5
WE: General Management (Education)

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
07 May 2018, 18:29
Bunuel wrote: In a certain club, every member likes red wine or white wine or both. If the number of club members that like red wine and do not like white wine is three times the number of club members that like white wine and do not like red wine, then what is the number of club members that like both red wine and white wine?
Since in the club every member likes red wine or white wine or both, then there are no members who like neither of the wines, so we have that: {Total}={Red}+{White}{Both}.
Also given that {Red}{Both}=3*({White}{Both}) > {Red}=3*{White}2*{Both}. So, {Total}=(3*{White}2{Both})+{White}{Both} > {Total}=4*{White}3*{Both}
The question is asks about {Both}=?
(1) The total number of club members is 60 > 60=4*{White}3*{Both}. Two unknowns. Not sufficient.
(2) The number of club members that do not like white wine is three times that number of club members that do like white wine > {Total}{White}=3*{White} > {Total}=4*{White}. So, 4*{White}=4*{White}3*{Both} > 3*{Both}=0 > {Both}=0. Sufficient.
Answer: B.
Hope it's clear. Hi Bunuel, How can we infer to this {Red}{Both}=3*({White}{Both}). I dont understand this part. Can you elaborate more? Thank you



Math Expert
Joined: 02 Sep 2009
Posts: 52430

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
07 May 2018, 21:01
Hungluu92vn wrote: Bunuel wrote: In a certain club, every member likes red wine or white wine or both. If the number of club members that like red wine and do not like white wine is three times the number of club members that like white wine and do not like red wine, then what is the number of club members that like both red wine and white wine?
Since in the club every member likes red wine or white wine or both, then there are no members who like neither of the wines, so we have that: {Total}={Red}+{White}{Both}.
Also given that {Red}{Both}=3*({White}{Both}) > {Red}=3*{White}2*{Both}. So, {Total}=(3*{White}2{Both})+{White}{Both} > {Total}=4*{White}3*{Both}
The question is asks about {Both}=?
(1) The total number of club members is 60 > 60=4*{White}3*{Both}. Two unknowns. Not sufficient.
(2) The number of club members that do not like white wine is three times that number of club members that do like white wine > {Total}{White}=3*{White} > {Total}=4*{White}. So, 4*{White}=4*{White}3*{Both} > 3*{Both}=0 > {Both}=0. Sufficient.
Answer: B.
Hope it's clear. Hi Bunuel, How can we infer to this {Red}{Both}=3*({White}{Both}). I dont understand this part. Can you elaborate more? Thank you The number of club members that like red wine and do not like white wine is three times the number of club members that like white wine and do not like red wine. The number of club members that like red wine and do not like white wine = {Red}  {Both} (this gives the number of club members that like only Red wine) The number of club members that like white wine and do not like red wine = {White}  {Both} (this gives the number of club members that like only White wine)
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 12 Sep 2017
Posts: 28

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
01 Jun 2018, 11:51
manulath wrote: In a certain club, every member likes red wine or white wine or both. If the number of club members that like red wine and do not like white wine is three times the number of club members that like white wine and do not like red wine, then what is the number of club members that like both red wine and white wine?
(1) The total number of club members is 60.
(2) The number of club members that do not like white wine is three times that number of club members that do like white wine. Hi Can anyone please help me with the double matrix to solve this question? Thanks



Intern
Joined: 22 Aug 2016
Posts: 5

Re: In a certain club, every member likes red wine or white wine
[#permalink]
Show Tags
20 Sep 2018, 18:58
I find the answer quite contradictory:
In the question, it says: "every member likes red wine or white wine or both"
implying there must be some number for "Like Red", "Like White" and "Like both"
Yet, we got an answer saying "Both" is 0.............
I just dont get the concept.




Re: In a certain club, every member likes red wine or white wine &nbs
[#permalink]
20 Sep 2018, 18:58






