What percent of the students at Jefferson ....

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 99
Joined: Sun Mar 13, 2011 12:42 pm
What percent of the students at Jefferson High School study French but not Spanish?

(1) 30% of all students at Jefferson High School study French.

(2) 40% of all students at Jefferson High School do not study Spanish.

ANSWER IS E CAN SOMEONE PLEASE EXPLAIN?

User avatar
Legendary Member
Posts: 1309
Joined: Mon Apr 04, 2011 5:34 am
Location: India
Thanked: 310 times
Followed by:123 members
GMAT Score:750

by cans » Sun Sep 18, 2011 9:43 pm
FS': (not spanish means s' and french means f)
A) 30% F insufficient
B) 40% s' -> 60% S insufficient
A&B) 100% = 30% + 60% - FS (both F and S) + none (some students don't study both)
Thus insufficient
IMO E
If my post helped you- let me know by pushing the thanks button ;)

Contact me about long distance tutoring!
[email protected]

Cans!!

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 » Mon Sep 19, 2011 11:30 am
factor26 wrote:What percent of the students at Jefferson High School study French but not Spanish?

(1) 30% of all students at Jefferson High School study French.

(2) 40% of all students at Jefferson High School do not study Spanish.

ANSWER IS E CAN SOMEONE PLEASE EXPLAIN?
Use a Venn diagram to organize the information.
Let the total number of students = 100.

Statement 1: Total French = 30.
Statement 2: Since 40 students do NOT study Spanish, the total number of students who DO study Spanish = 60.

When the statements are combined, the following distribution is possible:
Image
Number of students who study only French = 20.

The following distribution also is possible:
Image
Number of students who study only French = 10.

Since the number of students who study only French can be different values, INSUFFICIENT.

The correct answer is E.
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

Senior | Next Rank: 100 Posts
Posts: 99
Joined: Sun Mar 13, 2011 12:42 pm

by factor26 » Tue Sep 20, 2011 6:16 pm
Thank you Guru ... but maybe i'm confused with the response. In the argument, the total number of students is 100, but in the venn diagram examples given the totals add up to a number less than 100 students ... A + B - Both + Neither, correct?