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by Mjkourtis » Sun Oct 14, 2012 6:29 pm
At least 100 students at a high school study Japanese. If 4% of the students who study French also study Japanese, do more students study French than Japanese?
(1) 16 students study both Japanese and French.
(2) 10% of students who study Japanese also study French.
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Source: — Data Sufficiency |

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by Anurag@Gurome » Sun Oct 14, 2012 6:55 pm
Mjkourtis wrote:At least 100 students at a high school study Japanese. If 4% of the students who study French also study Japanese, do more students study French than Japanese?
(1) 16 students study both Japanese and French.
(2) 10% of students who study Japanese also study French.
Given: Number of Japanese students ≥ 100
Let us assume that the no. of students who study Japanese = J and no. of students who study French = F
Number of students who study J and F, both = 4% of F = 0.04F

Question is: Is F > J?

(1) 16 students study both Japanese and French implies 0.04F = 16 or F = 400 but we do not know J; NOT sufficient.

(2) 10% of students who study Japanese also study French implies 0.04F = 10% of J or 0.04F = 0.1J, or F/J = 10/4, which clearly implies that F > J; SUFFICIENT.

The correct answer is B.
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