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

 It is currently 07 Jul 2015, 20:45

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Out of a certain group of 100 people, 65 have a Volkswagen

Author Message
TAGS:
Manager
Joined: 25 May 2003
Posts: 54
Followers: 1

Kudos [?]: 3 [0], given: 0

Out of a certain group of 100 people, 65 have a Volkswagen [#permalink]  12 Jun 2003, 23:42
00:00

Difficulty:

(N/A)

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?

Founder
Affiliations: AS - Gold, UA - Silver, HH-Diamond
Joined: 04 Dec 2002
Posts: 12823
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 2735

Kudos [?]: 13616 [0], given: 3866

Expert's post
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?
Manager
Joined: 25 May 2003
Posts: 54
Followers: 1

Kudos [?]: 3 [0], given: 0

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
Manager
Joined: 03 Jun 2003
Posts: 84
Location: Uruguay
Followers: 1

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

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
Founder
Affiliations: AS - Gold, UA - Silver, HH-Diamond
Joined: 04 Dec 2002
Posts: 12823
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 2735

Kudos [?]: 13616 [0], given: 3866

Expert's post
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 number

Skoper, 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.

-=-=
SVP
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

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
Intern
Joined: 08 Jan 2004
Posts: 30
Location: Seattle
Followers: 0

Kudos [?]: 1 [0], given: 0

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.
SVP
Joined: 16 Oct 2003
Posts: 1813
Followers: 4

Kudos [?]: 56 [0], given: 0

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.
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4309
Followers: 29

Kudos [?]: 236 [0], given: 0

35
Attachments

GMATClub1.jpg [ 12.08 KiB | Viewed 599 times ]

_________________

Best Regards,

Paul

Joined: 31 Dec 1969
Location: India
Concentration: Strategy, Human Resources
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
GPA: 3.31
Followers: 0

Kudos [?]: 93 [0], given: 88383

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.
Manager
Joined: 18 Sep 2004
Posts: 156
Location: Dallas, TX
Followers: 1

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

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.
Intern
Joined: 29 Aug 2004
Posts: 12
Followers: 0

Kudos [?]: 2 [0], given: 0

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?

GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 13

Kudos [?]: 71 [0], given: 0

Re: PS: Cars & Numbers!!! [#permalink]  04 Nov 2004, 22:00
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

Re: PS: Cars & Numbers!!!   [#permalink] 04 Nov 2004, 22:00
Similar topics Replies Last post
Similar
Topics:
In a group of 100 people, 40 study English and 30 study French. The nu 4 05 Jan 2015, 05:59
2 In a group of people, 3/5 have brown hair and 3/4 of the people with 10 11 Sep 2014, 05:25
6 Of a certain group of 100 people, 40 graduated from High Sch 8 25 Aug 2013, 16:37
In a group of 100 students, 60 have completed MBA. Anyone 7 09 Dec 2011, 09:43
In a class of 100 80 have atleast one pen 65 have 4 14 Nov 2007, 06:47
Display posts from previous: Sort by