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.
Sets
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 298
- Joined: Tue Feb 16, 2010 1:09 am
- Thanked: 2 times
- Followed by:1 members
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
Say, number of students studying Japanese = J and number of students studying French = F. Now, J ≥ 100 and 4% of F study both Japanese and French.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.
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
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
- cypherskull
- Senior | Next Rank: 100 Posts
- Posts: 94
- Joined: Sat Mar 31, 2012 3:39 am
- Location: Calcutta
- Thanked: 8 times
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.
"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!
Sunit
________________________________
Kill all my demons..And my angels might die too!
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
Yes, they are same.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?
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.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/