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# At least 100 students at a certain high school study

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Current Student
Joined: 13 Feb 2007
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Schools: Harvard (No Interview), Cornell (Accepted), Duke (Accepted), Northwestern (Dinged)
At least 100 students at a certain high school study [#permalink]

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01 Jun 2008, 12:59
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French, than Japanese?

(1) 16 student at the school study both French and Japanese
(2) 10 percent of the students at the school who study Japanese also study French

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Senior Manager
Joined: 23 May 2006
Posts: 322

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01 Jun 2008, 15:26
At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French, than Japanese?

(1) 16 student at the school study both French and Japanese
(2) 10 percent of the students at the school who study Japanese also study French[/quote]

1) Let x be the no. of students studying French
.04x = 16
x = 400
However, the questions says at least 100 study Japanese, which means that there may be more than 100. Hence MAYBE, AD are out.

2) Let no. do students studyign Japanese = y, Hence 10% of students studying Japenese are equal to 4% studying French
Threfore 0.10y = 0.04x
x = 2.ty, If x is 2.5 times y then the no. of students studyign French are greater.

What is the OA

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Director
Joined: 23 Sep 2007
Posts: 782

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01 Jun 2008, 16:15
Agree with above, B

if the overlapping population is only 4% of French studiers, and 10% of Japanese studiers, then there must be more French studiers than Japanese studiers.

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Re: Gmat Prep Proplem   [#permalink] 01 Jun 2008, 16:15
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