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In a small town, 16 people own Fords and 11 people own Toyot

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antoxavier
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In a small town, 16 people own Fords and 11 people own Toyot [#permalink] New post  Updated on: 03 Feb 2022, 07:03
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In a small town, 16 people own Fords and 11 people own Toyotas. If exactly 15 people own only one of the two types of cars, how many people can own both types of cars?

A. 2
B. 6
C. 7
D. 12
E. 14
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Originally posted by antoxavier on 14 Jul 2013, 23:57.
Last edited by Bunuel on 03 Feb 2022, 07:03, edited 3 times in total.
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Re: In a small town, 16 people own Fords and 11 people own Toyot [#permalink] New post  15 Jul 2013, 00:07
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antoxavier wrote:
In a small town, 16 people own Fords and 11 people own Toyotas. If exactly 15 people own only one of the two types of cars, how many people can own both types of cars?

A. 2
B. 6
C. 7
D. 12
E. 14


Say x people own both cars.

(16 - x) + (11 - x) = 15 --> x = 6.

Answer: B.
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Re: In a small town, 16 people own Fords and 11 people own Toyot [#permalink] New post  19 Aug 2015, 12:01
A good questions that tests mindfulness.

You clearly see the difference of 12 between 15 and 27 -> (16+11). But it takes concentration to realize that those 12 are number of vehicles and not number of owners. To get the latter, we have to divide by 2.

Hope it helps!
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Re: In a small town, 16 people own Fords and 11 people own Toyot [#permalink] New post  19 Aug 2015, 22:48
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antoxavier wrote:
In a small town, 16 people own Fords and 11 people own Toyotas. If exactly 15 people own only one of the two types of cars, how many people can own both types of cars?

A. 2
B. 6
C. 7
D. 12
E. 14


Think about it logically:
16 people own Fords and 11 own Toyotas. So maximum 11 people can own both which means at least 5 people will own only one car (only Ford). If you want 15 people to own only one car, you need to remove 10 people from the overlap of 11. For every one overlap, there are 2 people so if you remove 5 overlaps, you get 10 people who should own a single car. You are left with 6 overlaps.

Answer (B)
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Re: In a small town, 16 people own Fords and 11 people own Toyot [#permalink] New post  11 Dec 2023, 04:09
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a small town, 16 people own Fords and 11 people own Toyot [#permalink]
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