Please help me solve this DS from GMATPrep

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ramkarpa: Newbie | Next Rank: 10 Posts; Posts: 2; Joined: Fri Aug 04, 2006 7:42 am

by ramkarpa » Sat Aug 12, 2006 5:41 pm

Atleast 100 students in a school study Japanese. 4% of students who study French also study Japanese.Do more students study French than Japanese ?

(1) 16 students study both French and Japanese
(2) 10% of students at school who study Japanese also study French.

The answer is B.

Any explanations ? Thanks

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Source: Beat The GMAT — Data Sufficiency | Sat Aug 12, 2006 5:41 pm

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Re: Please help me solve this DS from GMATPrep

by beatthegmat » Wed Aug 16, 2006 7:23 pm

ramkarpa wrote:Atleast 100 students in a school study Japanese. 4% of students who study French also study Japanese.Do more students study French than Japanese ?

(1) 16 students study both French and Japanese
(2) 10% of students at school who study Japanese also study French.

The answer is B.

Any explanations ? Thanks

>=100 students study Japanese
4% of French students also study Japanese

(A) is not sufficient by itself because...
4/100 = 16/X
4X = 1600
X = 400

This is not sufficient because we still don't know the exact number of students studying Japanese (at LEAST 100)

(B) is sufficient because...
Let's say that 100 students study japanese. 10% of these students also study French, so that would be 10 students

The question prompt states that 4% of french students also study Japanese. We know that the number of students who study both are 10.

So, 4/100 = 10/X
4X = 1000
X=250

Thus, 250>100

(B) is the correct answer

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800guy: Master | Next Rank: 500 Posts; Posts: 354; Joined: Tue Jun 27, 2006 9:20 pmFollowed by: 5 members; Thanked: 11 times

by 800guy » Fri Aug 18, 2006 3:05 pm

thanks dude for the clear explanation!! i really suck at these set problems...

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kulksnikhil: Senior | Next Rank: 100 Posts; Posts: 58; Joined: Tue May 23, 2006 3:35 pm; Location: Seoul, Korea; Thanked: 2 times

Re: Please help me solve this DS from GMATPrep

by kulksnikhil » Wed Nov 15, 2006 9:14 pm

beatthegmat wrote:
ramkarpa wrote:Atleast 100 students in a school study Japanese. 4% of students who study French also study Japanese.Do more students study French than Japanese ?

(1) 16 students study both French and Japanese
(2) 10% of students at school who study Japanese also study French.

The answer is B.

Any explanations ? Thanks
>=100 students study Japanese
4% of French students also study Japanese

(A) is not sufficient by itself because...
4/100 = 16/X
4X = 1600
X = 400

This is not sufficient because we still don't know the exact number of students studying Japanese (at LEAST 100)

(B) is sufficient because...
Let's say that 100 students study japanese. 10% of these students also study French, so that would be 10 students

The question prompt states that 4% of french students also study Japanese. We know that the number of students who study both are 10.

So, 4/100 = 10/X
4X = 1000
X=250

Thus, 250>100

(B) is the correct answer

I couldn't understand this one at all... now if 250 students are studying japanese then... 10% of that makes it 25 and not 10.. how does this suit the explaination above??

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gmat_enthus: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Wed Oct 18, 2006 1:49 pm; Thanked: 1 times

Re: Please help me solve this DS from GMATPrep

by gmat_enthus » Mon Nov 20, 2006 7:31 am

ramkarpa wrote:Atleast 100 students in a school study Japanese. 4% of students who study French also study Japanese.Do more students study French than Japanese ?

(1) 16 students study both French and Japanese
(2) 10% of students at school who study Japanese also study French.

The answer is B.

Any explanations ? Thanks

Given J>100 (could be any number > 100)
1 0.04F = 16 => F=400. but J could be 200 or 500, cant be sure.
2 0.1J = 0.04F => J/F = 0.4 => J/F<1 => J<F

2 is sufficient. hence B

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