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At least 100 students at a certain high school study ....

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alexei600
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Wed Feb 16, 2011 8:58 pm 
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Course Students


Posts: 34
Hi,
I still do not get why whould the question give us the value of at least 100 studebts, whereas we donot really employ this value. As been shown above, we just assign a variable.
Thanks.
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jnelson0612
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Thu Feb 17, 2011 6:33 pm 
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ManhattanGMAT Staff


Posts: 1857
Alexei, please go back and read Ron's first post, particularly the part in which he talks about statement 1. That will help you understand the relevance of that particular piece of information.

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Jamie Nelson
ManhattanGMAT Instructor
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behram14
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Sun Jul 10, 2011 10:02 am 
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Students


Posts: 1
Hi sorry to dig up an old topic but can someone please clarify one point for me: when it's mentioned that 4 percent of the students who study french also study Japanese does this mean the the number of students who study both (let's say B) is: B = 0.04F or does it mean that B = 0.04F + x*J ?

From the solution it appears that it's the former, and that's the basis for being able to solve the question, because B = 0.04F = 0.1J, therefore F>J.
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RonPurewal
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Thu Jul 14, 2011 6:41 pm 
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ManhattanGMAT Staff


Posts: 7146
behram14 wrote:
Hi sorry to dig up an old topic but can someone please clarify one point for me: when it's mentioned that 4 percent of the students who study french also study Japanese does this mean the the number of students who study both (let's say B) is: B = 0.04F or does it mean that B = 0.04F + x*J ?


it's the former, because all of these people are also in the "study french" group.
if you were to write the latter, you would be double-counting all of them.
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jeffrey.k.l.ho
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Wed Nov 30, 2011 8:34 pm 
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Course Students


Posts: 9
I'm really trying to understand why my method is wrong, can someone please shed some light?
F= students studying french
0.04F = Number of French Students studying japanese.

For Statement 2:
0.04F = 0.01 x GT 100
I substituted the number of students studying japanese with GT 100 as given in the question.

I get F = GT25

Therefore the number of students studying French = GT 25 which can be more or less than the number of people Studying japanese (GT 100). Therefore E.

Is my reasoning wrong?
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RonPurewal
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Fri Dec 09, 2011 4:44 am 
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ManhattanGMAT Staff


Posts: 7146
what is "GT"? i'm not familiar with that notation.
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jeffrey.k.l.ho
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Sun Dec 18, 2011 11:50 pm 
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Course Students


Posts: 9
My apologies. GT = Greater than.
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jeffrey.k.l.ho
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Mon Dec 19, 2011 12:00 am 
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Course Students


Posts: 9
According to my logic described in my previous post, Statement 2 should be insufficient. Is there something wrong with this logic?
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RonPurewal
 Post subject: Re: At least 100 students at a certain high school study ....
 Post Posted: Tue Dec 27, 2011 5:51 pm 
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ManhattanGMAT Staff


Posts: 7146
jeffrey.k.l.ho wrote:
According to my logic described in my previous post, Statement 2 should be insufficient. Is there something wrong with this logic?


yes. you're ignoring the fact that these quantities are actually proportional to each other -- in other words, you're assuming that the two quantities can vary independently of each other.

here's your logic applied to another case:
I'm twice as tall as my little cousin.
I am over 6 feet tall ("GT 6" in the notation you were using)
Therefore, he is over 3 feet tall ("GT 3" in that notation)
... so far so good. but, you have to make sure you realize that my cousin still has to be half my height. your mistake, if extended to this case, would be to think that my height can be any height over 6 feet *and* that my cousin's height can simultaneously be any height over 3 feet, and that you thus don't know who's taller.
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