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

Redeem

Japanese/French

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 39
Joined: Mon Feb 08, 2010 12:41 pm

Japanese/French

by Lookingfor700GMAT » Fri Mar 12, 2010 5:57 am
Hi. I have search for this DS question but have not found an explanation with which I feel comfortable. Please can someone help me out as I have my test on Monday. Thanks in advance.

At least a 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.

I chose answer C but the answer is B
Top
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 1132
Joined: Mon Jul 20, 2009 3:38 am
Location: India
Thanked: 64 times
Followed by:6 members
GMAT Score:760

by harsh.champ » Fri Mar 12, 2010 6:08 am
Lookingfor700GMAT wrote:Hi. I have search for this DS question but have not found an explanation with which I feel comfortable. Please can someone help me out as I have my test on Monday. Thanks in advance.

At least a 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.

I chose answer C but the answer is B
Japanese = 100+
Let total students be x.
0.04x studies both the languages.
Statement 1:-
0.04x = 16
x = 400
Insufficient because of the term "atleast:.

Statement 2:-0.1 * (100+) = 0.04x
=>100+ = 0.4x
=>x = 250+
Students studying both = 10+
Still insufficient.

Combining both together,
x=400
now,100+ = 0.4*400
100+ = 160 students study japanese
16 study both.
400-160 = 240 = French studying students
"C" should be the answer.

Whats the OA??
Is it C??
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P
Top
Senior | Next Rank: 100 Posts
Posts: 39
Joined: Mon Feb 08, 2010 12:41 pm

by Lookingfor700GMAT » Fri Mar 12, 2010 7:24 am
I,too, thought the answer is C and selected it but the answer is B.
Top
Legendary Member
Posts: 610
Joined: Fri Jan 15, 2010 12:33 am
Thanked: 47 times
Followed by:2 members

by kstv » Fri Mar 12, 2010 7:52 am
At least a 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.
studying Japanese = J French = F
Numbers of students studying Japanese >= 100
from (2) it is clear that 10% of them also study French, so
no. of student studying Japanese who study also study French >=10, minimun no is 10
J^F = 10% of students studying Japanese ^ for intersection
no of students studying French who study study Japanese is 4 %
this is F^J = 4% of students studying French = J^F = 10% of students studying Japanese
or 4% of students studying French atleast = 10% of students studying Japanese
we have a ratio so Sufficient.
Clearly more french students.
Top
Junior | Next Rank: 30 Posts
Posts: 12
Joined: Thu Mar 04, 2010 2:40 am
Thanked: 1 times

by pnvpratik » Sat Mar 13, 2010 10:11 pm
The logic i used is this ... I may be wrong ..

F = French
J = Japanese

F intersection J = 0.04 F

J Intersection F = 0.1 J

Now
F intersection J = J intersection F

0.04 F = 0.1 J
F = 10/4 J

So French students are greater ...
and second condition alone is sufficient.
Top
Master | Next Rank: 500 Posts
Posts: 232
Joined: Sun Feb 28, 2010 10:47 pm
Thanked: 10 times

by Phirozz » Sun Mar 14, 2010 8:10 am
Lookingfor700GMAT wrote:Hi. I have search for this DS question but have not found an explanation with which I feel comfortable. Please can someone help me out as I have my test on Monday. Thanks in advance.

At least a 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.

I chose answer C but the answer is B
Hope this method will help u.
From the ques stem, 4 percent of the students at the School who study French also study Japanese.
Let say there are 100 students who study french, so out of 100, 4 students study both and 96 only french

Now from st2, 10 percent of the students at the school who study Japanese also study French, it means 10% of students who study japanese study both ie 10% equals to 4. So 90% equals to 36

From the above 36 students study only japanese, 4 study both, and 96 study only french
So answer is B
Top
Post new topic Post Reply
• Page 1 of 1