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??

I,too, thought the answer is C and selected it but the answer is B.

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.

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.

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