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# The New Marketing Journal conducted a survey of wealthy

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Intern
Joined: 05 Apr 2013
Posts: 6

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Re: The New Marketing Journal conducted a survey of wealthy [#permalink]

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12 Apr 2013, 04:31
As per the question,

Total = All 3 Groups - Both (2 Brands) - 2*All Three Brands + Neither
Total = 45+38+27 -(15+12+8) -(2*5) + 0
Total = 110 -35 -10
Total = 65 (This will be the answer but none of the answers matches with this)

If the the question had said that 5 used neither of the brands of cars (instead of saying 5 used all three brands), then the answer would had been:

Total = All 3 Groups - Both (2 Brands) - 2*All Three Brands + Neither
Total = 45+38+27 -(15+12+8) -(2*0) + 5
Total = 110 -35 -0 +5
Total = 80

But 80 is an option in the answer choices.
So i think in the question there is a mistake...

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Board of Directors
Joined: 17 Jul 2014
Posts: 2681

Kudos [?]: 437 [0], given: 201

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: The New Marketing Journal conducted a survey of wealthy [#permalink]

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28 Dec 2015, 16:29
I always find difficult such questions, because they take a lot of time to solve. nevertheless, I got to the right answer
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Re: The New Marketing Journal conducted a survey of wealthy [#permalink]

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15 Oct 2017, 06:28
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Manager
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Re: The New Marketing Journal conducted a survey of wealthy [#permalink]

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20 Nov 2017, 22:36
VeritasPrepKarishma wrote:
zmaster85 wrote:
The New Marketing Journal conducted a survey of wealthy German car owners. According to the survey, all wealthy car owners owned one or more of the following three brands: BMW, Mercedes, or Porsche. Respondents' answers were grouped as follows: 45 owned BMW cars 38 owned Mercedes cars, and 27 owned Porsche cars. Of these, 15 owned both BMW and Mercedes cars, 12 owned both Mercedes and Porsche cars, 8 owned both BMW and Porsche cars, and 5 persons owned all three types of cars. How many different individuals were surveyed?

A) 70
B) 75
C) 80
D) 110
E) 130

It is a straight forward question that can be solved using the formula discussed above but if you forget it, you can use a Venn diagram. Start with the region where all 3 sets overlap. That is 5. Next work on each of the three regions where 2 sets overlap. Next work on the 3 regions where people own a single car. Add the number of people in all the regions and you get the total number of people.
Attachment:
Ques1.jpg

16+10+5+7+12+3+27 = 80

Hi
I have a small doubt- 15 own both BMW and Mercedes should mean exactly 2? if yes then we should not subtract 5 from 15?

Kudos [?]: 15 [0], given: 117

Re: The New Marketing Journal conducted a survey of wealthy   [#permalink] 20 Nov 2017, 22:36

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# The New Marketing Journal conducted a survey of wealthy

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