alex.gellatly wrote:At least 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.

Thanks!

Say, number of students studying Japanese = J and number of students studying French = F. Now, J ≥ 100 and 4% of F study both Japanese and French.

Statement 1: 16 students at the school study both French and Japanese.
Therefore, 4% of F = 16
=> F = (16/0.04) = 400
As we don't have any concrete idea about the value of J, we cannot say whether F is greater than J or not.

Not sufficient

Statement 2: 10 percent of the students at the school who study Japanese also study French.
Therefore, 4% of F = 10% of J
=> F = J*(0.10)/(0.04) = (2.5)*J
=> F > J

Sufficient

The correct answer is B.