French also study Japanese

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Fri Sep 17, 2010 3:03 am

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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Source: Beat The GMAT — Data Sufficiency | Fri Sep 17, 2010 3:03 am

gig92: Senior | Next Rank: 100 Posts; Posts: 78; Joined: Fri Jul 23, 2010 2:22 amFollowed by: 1 member; Thanked: 2 times

by gig92 » Fri Sep 17, 2010 5:18 am

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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Fiver: Master | Next Rank: 500 Posts; Posts: 114; Joined: Mon Sep 22, 2008 3:51 am; Thanked: 8 times; GMAT Score:680

by Fiver » Fri Sep 17, 2010 6:58 am

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.

[spoiler]Source: www.avenuesabroad.org or gmatprep[/spoiler]

The bold text suggests that J>= 100; also given that (J and F)>= 4
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

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