BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

GMATPREP:Do more students study French than Japanese?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 621
Joined: Wed Apr 09, 2008 7:13 pm
Thanked: 33 times
Followed by:4 members

GMATPREP:Do more students study French than Japanese?

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]
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 2623
Joined: Mon Jun 02, 2008 3:17 am
Location: Montreal
Thanked: 1090 times
Followed by:355 members
GMAT Score:780

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

ianstewartgmat.com
Top
Legendary Member
Posts: 621
Joined: Wed Apr 09, 2008 7:13 pm
Thanked: 33 times
Followed by:4 members

by vittalgmat » Sat Jun 13, 2009 7:51 am
Superb!! Ian...
Top
Legendary Member
Posts: 621
Joined: Wed Apr 09, 2008 7:13 pm
Thanked: 33 times
Followed by:4 members

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.
Top
Post new topic Post Reply
• Page 1 of 1