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

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14 Jul 2013, 23:57

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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?

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?

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

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04 Nov 2013, 23:04

Quote:

Say x people own both cars.

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

Answer: B.

Bunuel - Would a question in the GMAT be this misleading with its choice of language. I mean this is a pretty straightforward question. Simple Venn diagram problem but the question says 16 people own Fords and 11 own Toyotas. Immediately I am thinking there are 27 people in this town. For the question to be less misleading, the question might say, " In a small town, there 16 Fords and 11 Toyotas registered with the Department of Motor Vehicles. ...." Is that something more along the lines of how a question like this would be worded? I don't see the source of this problem listed.

I am curious to know how many people went with 12. Of course 12 is the twice the correct answer and is how i got it wrong.

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

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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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Thank you very much for reading this post till the end! Kudos?

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.

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

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08 Oct 2016, 13:41

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