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Deepthi Subbu: Master | Next Rank: 500 Posts; Posts: 298; Joined: Tue Feb 16, 2010 1:09 amFollowed by: 1 member; Thanked: 2 times

by Deepthi Subbu » Mon Jan 10, 2011 9:41 pm

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 students 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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Source: Beat The GMAT — Data Sufficiency | Mon Jan 10, 2011 9:41 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Jan 10, 2011 10:01 pm

Deepthi Subbu wrote: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 students at the school study both French and Japanese.
(2) 10 percent of the students at the school who study Japanese also study French.

Say, number of students studying Japanese = J and number of students studying French = F. Now, J â‰¥ 100 and 4% of F study both Japanese and French.

Statement 1: 16 students at the school study both French and Japanese.
Therefore, 4% of F = 16
=> F = (16/0.04) = 400
As we don't have any concrete idea about the value of J, we cannot say whether F is greater than J or not.

Not sufficient

Statement 2: 10 percent of the students at the school who study Japanese also study French.
Therefore, 4% of F = 10% of J
=> F = J*(0.10)/(0.04) = (2.5)*J
=> F > J

Sufficient

The correct answer is B.

Anurag Mairal, Ph.D., MBA
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cypherskull: Senior | Next Rank: 100 Posts; Posts: 94; Joined: Sat Mar 31, 2012 3:39 am; Location: Calcutta; Thanked: 8 times

by cypherskull » Mon Jun 18, 2012 9:50 am

Hey Anurag...Thanks for your response..! but what's confusing me in this problem is the following wordings:

"4% of F study both Japanese and French." ---- (1)
"10 percent of the students at the school who study Japanese also study French." ----- (2)

Are both 1 and 2 equivalent to the number of students who study both Jap and French?

My understanding of the problem was that (1) + (2) = number of students who study both Jap and French.

Regards,
Sunit

________________________________

Kill all my demons..And my angels might die too!

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Jun 18, 2012 10:43 am

cypherskull wrote:"4% of F study both Japanese and French." ---- (1)
"10 percent of the students at the school who study Japanese also study French." ----- (2)

Are both 1 and 2 equivalent to the number of students who study both Jap and French?

Yes, they are same.
The former is with respect to the number of students who study French while the later is eith respect to the number of students who study Japanese.

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