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Manager
Joined: 25 May 2003
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Out of a certain group of 100 people, 65 have a Volkswagen [#permalink]
 13 Jun 2003, 00:42
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
Out of a certain group of 100 people, 65 have a Volkswagen Corrado, 40 have a Bentley Azure, and 30 have a Lincoln Navigator. What is the greatest possible number of people in this group who do not have a Corrado, do not have an Azure, and do not have a Navigator?
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Founder
Status: Traveling...
Affiliations: UA-1K, SPG-G, HH-D
Joined: 04 Dec 2002
Posts: 10408
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 1371
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2 questions:
why does your profile say you joined on May 25? You joined earlier didn't you? Am I out of my mind?
Do you need 1 answer or 3?
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Manager
Joined: 25 May 2003
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bogdan, you're getting old!!! 
yes it has been just under 3 weeks or so since I joined...I know, I've been around.. 
yes, one answer is fine...I'm looking for the greatest possible number
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Manager
Joined: 03 Jun 2003
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Location: Uruguay
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I think the greatest possible value is 35.
My reasoning is that if 65 people have a volkswagen, there are 35 people that don┬┤t. Then I supose that the other cars are hold by the same owners as those of the Volkswagen, leaving 35 people without a car
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Founder
Status: Traveling...
Affiliations: UA-1K, SPG-G, HH-D
Joined: 04 Dec 2002
Posts: 10408
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 1371
Kudos [?]:
4204
[0], given: 3122
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skoper wrote: bogdan, you're getting old!!! yes it has been just under 3 weeks or so since I joined...I know, I've been around.. yes, one answer is fine...I'm looking for the greatest possible numberSkoper, it is time for me to go to a dump - I can't hold anything in my head except.... (you can fill in)..........ough. I now understand how it feels when you are 40 and they say "And now we will make your life easier and will force you to use computers"
P.S. We had some irregularities with the board lately - due to some experiments  so I was wondering... I am still surprised.
-=-=
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SVP
Joined: 30 Oct 2003
Posts: 1963
Location: NewJersey USA
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V = 65 B = 40, L = 30
V = V + VB + VL + VBL
L = L + VL + BL + VBL
B = B + VB + BL + VBL
Total = V + B + L + None - (Sum of both) - 2All
None = Total - (V+B+L) + (Sum of Both ) + 2All
To maximize None we can set Sum of Both = 0 and Maximize All
Also we know that All cannot be greater than 30 because then B would be greater than 30 if we made All >30
None = 100 - 135 + 60 = 25
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Intern
Joined: 08 Jan 2004
Posts: 30
Location: Seattle
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I think it is 100 - 65 = 35.
In terms of a Venn diagram, we can represent this as 3 concentric circles of size (30, 40 and 65).
THat makes the number of people who don't have any 35.
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SVP
Joined: 16 Oct 2003
Posts: 1957
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I need some time calculating... But I would like to be in the Bentley Azure Group......For that I need 700. So guys I am off to calculation.
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GMAT Club Legend
Joined: 15 Dec 2003
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35
Attachments
GMATClub1.jpg [ 12.08 KiB | Viewed 300 times ]
_________________
Best Regards,
Paul
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Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GMAT 1: 710 Q49 V38
WE: Accounting (Accounting)
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My answer is 35 by Venn diagram in which this will form three circles, larger circle encircling the smaller totally. The circle with value 65 is the largest , so 100 -65 = 35 should be the max that will have none of the vehicles.
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Manager
Joined: 18 Sep 2004
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Location: Dallas, TX
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I also got 35,
100 - 65 = 35. Same approach as Paul using a venn diagram, we can see that 40 people who own a VW also owns at least another car, and out of the 40, 30 people can own all three cars.
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Intern
Joined: 29 Aug 2004
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Unless this question is more complicated than it appears, I thought 35 was a very easy answer to arrive at... and I suck at quants!
_________________
So a double digit score is a bad thing?
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GMAT Instructor
Joined: 07 Jul 2003
Posts: 773
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
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Re: PS: Cars & Numbers!!! [#permalink]
04 Nov 2004, 23:00
skoper wrote: Out of a certain group of 100 people, 65 have a Volkswagen Corrado, 40 have a Bentley Azure, and 30 have a Lincoln Navigator. What is the greatest possible number of people in this group who do not have a Corrado, do not have an Azure, and do not have a Navigator? This is a silly question. A much better question is what is the smallest possible number of people given the above information that do not own a car?
_________________
Best,
AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993
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Re: PS: Cars & Numbers!!!
[#permalink]
04 Nov 2004, 23:00
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close
