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This topic has 1 expert reply and 4 member replies
ramkarpa Newbie | Next Rank: 10 Posts
Joined
04 Aug 2006
Posted:
2 messages

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.

Any explanations ? Thanks

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Mark Dabral Guest
Fri Nov 17, 2006 5:26 pm
Let J be the number of students studying Japanese and F be the number of students studying French.

Given information in the main statement:
J >= 100
0.04F study Japanese and French.

Question: Is F > J?

Statement 1: Students studying J and F is 16. Therefore, 0.04F = 16, or
F = 400. This is insufficient, because J could be 100, in which case the answer to the question in the main stem is Yes, or J = 500, in which case J>F and the answer to the question is NO. INSUFFICIENT.

Statement 2: The algebraic translation of this statement is:

0.1 J = 0.04 F or F = 2.5 J, therefore F > J. SUFFICIENT.

gmat_enthus Senior | Next Rank: 100 Posts
Joined
18 Oct 2006
Posted:
62 messages
1
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.

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
2 is sufficient. hence B

Mark Dabral Guest
Fri Nov 17, 2006 5:26 pm
Let J be the number of students studying Japanese and F be the number of students studying French.

Given information in the main statement:
J >= 100
0.04F study Japanese and French.

Question: Is F > J?

Statement 1: Students studying J and F is 16. Therefore, 0.04F = 16, or
F = 400. This is insufficient, because J could be 100, in which case the answer to the question in the main stem is Yes, or J = 500, in which case J>F and the answer to the question is NO. INSUFFICIENT.

Statement 2: The algebraic translation of this statement is:

0.1 J = 0.04 F or F = 2.5 J, therefore F > J. SUFFICIENT.

gmat_enthus Senior | Next Rank: 100 Posts
Joined
18 Oct 2006
Posted:
62 messages
1
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.

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
2 is sufficient. hence B

kulksnikhil Senior | Next Rank: 100 Posts
Joined
23 May 2006
Posted:
58 messages
2
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.

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

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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