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In a group of 80 college students, how many own a car? (1)

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In a group of 80 college students, how many own a car? [#permalink] New post 13 Sep 2013, 11:14
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.
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Re: In a group of 80 college students, how many own a car? [#permalink] New post 13 Sep 2013, 11:20
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Re: In a group of 80 college students, how many own a car? (1) [#permalink] New post 01 Aug 2014, 02:35
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Bunuel wrote:
Hussain15 wrote:
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.


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. Clearly insufficient.

(2) Of the students who own a car, 42% are female --> let # of students who own a car be \(x\) --> \(0.42x=\) # of females who own a car. But \(0.42x\) must be an integer, as it represent # of females. \(0.42x=integer\) --> \(\frac{21}{50}x=integer\) --> \(x\) is a multiple of 50: 50, 100, 150, ... But \(x\) (# of students who own car) must also be less than (or equal to) 80. So \(x=50\). sufficient.

Answer: B.


This is tricky. Thanks for the explanation.
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Re: In a group of 80 college students, how many own a car? (1) [#permalink] New post 18 Dec 2014, 23:52
very good question.i was wrong to think it is E,BUT we should be quiet familiar with the property of integer.it is a little difficult to think like that but i will be accustomed to think in this way
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Re: In a group of 80 college students, how many own a car? (1) [#permalink] New post 06 Mar 2015, 21:08
The fastest way to go about this is to simply determine what each point really says and if its possible to have different solutions.

For one this is definitely the case, because we can have 20 students own a car or we can have 30, we have no idea, so it is insufficient.

Two is a little bit more tricky, let's look at what it is actually saying here: of the students who own a car 42% must be female. We have to remember that, because it is people, they have to be whole numbers. 42% is equal to 21/50, which cannot be simplified any more, so we know that the number of students who own a car must be a multiple of 50. The only multiple of fifty that works with the constraint that there must be 80 people is 50 itself, therefore we know that this is sufficient.
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Re: In a group of 80 college students, how many own a car? (1) [#permalink] New post 27 Mar 2015, 15:48
Nice question really. At first i didn't understand what about males that own a car but now i got it. let's bump this question for practice
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Re: In a group of 80 college students, how many own a car? (1)   [#permalink] 27 Mar 2015, 15:48

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