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Expert replies
by garuhape » Fri Mar 04, 2011 1:19 pm
This one seems easy but it really is tricky. Can someone please explain the solution to me?

Image

Thanks Guys!
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Source: — Problem Solving |

by GMATGuruNY » Fri Mar 04, 2011 2:16 pm
garuhape wrote:This one seems easy but it really is tricky. Can someone please explain the solution to me?

Image

Thanks Guys!
We can plug in the answer choices, which represent the number who own both types of cars.

Answer choice C: 7 own both types of cars.
Since total Fords = 16, 16-7 = 9 own only Fords.
Since total Toyotas = 11, 11-7 = 4 own only Toyotas.
Total who own only 1 type of car = 9+4 = 13.
Doesn't work. Eliminate C.

Since just a few more must own only 1 type of car, slightly fewer must own both.

The correct answer is B.

Answer choice B: 6 own both types of cars.
Since total Fords = 16, 16-6 = 10 own only Fords.
Since total Toyotas = 11, 11-6 = 5 own only Toyotas.
Total who own only 1 type of car = 10+5 = 15. Success!
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by rohu27 » Sat Mar 05, 2011 7:49 am
let x be the no. of people who own both ford nd toyota (lucky :D)
only F+only T= 15
16-x+11-x=15 (people who own ford-who own both=people who own only ford, same applies to toyota)
on solving x=6.

option B

i liked Mitch's solution though.
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