At least 100 students at a high school study Japanese. If 4% of the students who study French also study Japanese, do more students study French than Japanese?
(1) 16 students study both Japanese and French.
(2) 10% of students who study Japanese also study French.
Sets Problem
This topic has expert replies
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
Given: Number of Japanese students ≥ 100Mjkourtis wrote:At least 100 students at a high school study Japanese. If 4% of the students who study French also study Japanese, do more students study French than Japanese?
(1) 16 students study both Japanese and French.
(2) 10% of students who study Japanese also study French.
Let us assume that the no. of students who study Japanese = J and no. of students who study French = F
Number of students who study J and F, both = 4% of F = 0.04F
Question is: Is F > J?
(1) 16 students study both Japanese and French implies 0.04F = 16 or F = 400 but we do not know J; NOT sufficient.
(2) 10% of students who study Japanese also study French implies 0.04F = 10% of J or 0.04F = 0.1J, or F/J = 10/4, which clearly implies that 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/