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how many own a car?

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by papgust » Sun Feb 28, 2010 6:19 am
In a group of 80 college students, how many own a car?

(1) Of the students who do not own a car, 14 are male.
(2) Of the students who own a car, 42% are female.

OA: B
Source: Magoosh.com

I don't understand how statement II is sufficient. Please explain!
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Source: — Data Sufficiency |
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by rohan_vus » Sun Feb 28, 2010 6:49 am
Stmnt II tells that females who own a car is 42% of students owing a car

Let students owning a car be x , so females who own a car is 42% of x = (21/50)*x

Now (21/50)*x got to be an integer as its actual no of females who own a car , which means x must be divisible by 50 , so x could be 50 , 100 , etc
But total no of students = 80 , so x is 50 -- Hence sufficient
Last edited by rohan_vus on Sun Feb 28, 2010 7:04 am, edited 1 time in total.
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by kstv » Sun Feb 28, 2010 7:03 am
Awesome!!
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