At least 100 students at a certain high school study Japanese. If 4 percent of the students 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.
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French also study Japanese
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sanju09
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gig92
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sanju09 wrote:At least 100 students at a certain high school study Japanese. If 4 percent of the students 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.
Q: do more students at the school study French than Japanese?
Stmnt 1 -
16 students at the school study both French and Japanese.
let total students studying french = X then given 4%(X) --> (4/100)*X = 16 ==> X = 400. Thus, Yes. Hence SUFFICIENT
Stmnt 2 -
10 percent of the students at the school who study Japanese also study French.
We don't have total number of students in the school or number of students studying japnese to answer the question. NOT SUFFICIENT
Hence pick: A
gig92
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The bold text suggests that J>= 100; also given that (J and F)>= 4sanju09 wrote:At least 100 students at a certain high school study Japanese. If 4 percent of the students 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.
[spoiler]Source: www.avenuesabroad.org or gmatprep[/spoiler]
We need to know whether J >=F
St1] suggests that F = 400, while we know that J > = 100. Insuff
St2] suggests that .1 * J = 0.04 * F- this means that F > J. Suff.
I'd pick B
