BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Set Theory Question

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 626
Joined: Fri Dec 23, 2011 2:50 am
Location: Ahmedabad
Thanked: 31 times
Followed by:10 members

Set Theory Question

by ronnie1985 » Wed May 23, 2012 10:06 am
At least 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

Please provide the venn diagram for each case.
Follow your passion, Success as perceived by others shall follow you
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
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

by Anurag@Gurome » Wed May 23, 2012 11:07 pm
ronnie1985 wrote:At least 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

Please provide the venn diagram for each case.
Let F students study French, J study Japanese and X study both French and Japanese.

(1) 16 students at the school study both French and Japanese = 4% of F, which implies 0.04F = 16 or F = 400. So, 400 students study French. But this number does not give us the number of Japanese students.
So, (1) is NOT SUFFICIENT.

(2) X = 10% of J = 4% of F.
So, 5J = 2F or J = (2/5)F, which implies F > J. So, more students study French than Japanese.
Hence, (2) is 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/
Top
User avatar
Legendary Member
Posts: 934
Joined: Tue Nov 09, 2010 5:16 am
Location: AAMCHI MUMBAI LOCAL
Thanked: 63 times
Followed by:14 members

by [email protected] » Fri May 25, 2012 3:38 am
The common link was 'Students who study both Japanese and French.' These people comprised of 16 people.

So 10% of J = 4% of F.

Hence F>J.

This was a very important question...
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Fri May 25, 2012 8:14 am
ronnie1985 wrote:At least 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

Please provide the venn diagram for each case.
Let F = the total number of students who study French, J = the total number of students who study Japanese, and B = the total number of students who study both languages.
Since 4% of the students who study French study both languages, B = .04F.

Statement 1: 16 students study both French and Japanese
Thus:
.04F = 16
F = 400.
No information about J.
INSUFFICIENT.

Statement 2: 10% of students at school who study Japanese also study French
Thus, B = .1J.
Since it is also true that B = .4F, we get:
.04F = .1J
F/J = 10/4 = 5/2.
Thus, F>J.
SUFFICIENT.

The correct answer is B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1