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French & Japanese Student

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French & Japanese Student

by Kumar007 » Wed Apr 01, 2009 2:30 am
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 student at the school study French than Japanese ?

1. 16 students at the school study both French and Japanese.
2. 10 percent of the student at the school who study Japanese also study French.

The answer is B
Can someone please give the explanation of this problem.
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by bluementor » Wed Apr 01, 2009 3:39 am
Statement 1:
4% of F = 16
F = 400
we know that J>100, we cannot conclude whether F or J is greater. Insufficient.

Statement 2:
10% of J = 4% of F
0.1J = 0.04F
J = 0.4F, from here we know that J is less than F. Sufficient.

Choose B

-BM-
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