GMAT Prep DS 1

[cypherskull]

[Anurag@Gurome]

Refer to the post here >> https://www.beatthegmat.com/sets-t72998.html#330405

[GMATGuruNY]

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

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.