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by JeetGulia » Mon Sep 13, 2010 4:04 pm
At least 100 students at a certain high school study japanese. If 4 percent of the student at the school who study french also study Japanese, do more students at the school study french than Japanese?

a) 16 students at the school study both french and japanese
b) 10 % of the students at the school who study japanese also study french

Ans b
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by Rahul@gurome » Mon Sep 13, 2010 10:41 pm
Let F students study French, J study Japanese and X study both French and Japanese.

(1) 16 students at the school study both French and Japanese = 4% of F, which implies 0.04F = 16 or F = 400. So, 400 students study French. But this number does not give us the number of Japanese students.
So, (1) is NOT SUFFICIENT.

(2) X = 10% of J = 4% of F.
So, 5J = 2F or J = (2/5)F, which implies F > J. So, more students study French than Japanese.
Hence, (2) is SUFFICIENT.

The correct answer is [spoiler](B)[/spoiler].
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