GMATPREP:Do more students study French than Japanese?

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

by vittalgmat » Fri Jun 12, 2009 10:18 pm

Another nice one.

At least 100 students study Japanese. If 4% of students who study French also study Japanese, do more students study French than Japanese?
a. 16 students study both French and Japanese
b. 10% of students at school who study Japanese also study French

[spoiler]OA: B[/spoiler]

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Source: Beat The GMAT — Data Sufficiency | Fri Jun 12, 2009 10:18 pm

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Re: GMATPREP:Do more students study French than Japanese?

by Ian Stewart » Sat Jun 13, 2009 1:13 am

vittalgmat wrote:Another nice one.

At least 100 students study Japanese. If 4% of students who study French also study Japanese, do more students study French than Japanese?
a. 16 students study both French and Japanese
b. 10% of students at school who study Japanese also study French

[spoiler]OA: B[/spoiler]

If F is the number who study French, and J the number who study Japanese, then using Statement 2 we know:

(4/100)*F = (10/100)*J
F = 2.5*J

so F is larger than J, and Statement 2 is sufficient.

Statement 1 allows us to work out that 400 students study French, but since we don't know how many study Japanese, the statement is insufficient.

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

by vittalgmat » Sat Jun 13, 2009 7:51 am

Superb!! Ian...

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

Re: GMATPREP:Do more students study French than Japanese?

by vittalgmat » Sat Jun 13, 2009 5:52 pm

Hi Ian,
I was almost there. I got to 2 eqns
4/100 F = J and
10/100 J = F.

But I could not convince myself to equate the two as u did.
can u pls explain more..
Thanks

Ian Stewart wrote:
vittalgmat wrote:Another nice one.

At least 100 students study Japanese. If 4% of students who study French also study Japanese, do more students study French than Japanese?
a. 16 students study both French and Japanese
b. 10% of students at school who study Japanese also study French

[spoiler]OA: B[/spoiler]
If F is the number who study French, and J the number who study Japanese, then using Statement 2 we know:

(4/100)*F = (10/100)*J
F = 2.5*J

so F is larger than J, and Statement 2 is sufficient.

Statement 1 allows us to work out that 400 students study French, but since we don't know how many study Japanese, the statement is insufficient.

Like this post

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