• Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

Please help me solve this DS from GMATPrep

This topic has 1 expert reply and 4 member replies
ramkarpa Newbie | Next Rank: 10 Posts Default Avatar
Joined
04 Aug 2006
Posted:
2 messages

Please help me solve this DS from GMATPrep

Post Sat Aug 12, 2006 5:41 pm
Atleast 100 students in a school study Japanese. 4% of students who study French also study Japanese.Do more students study French than Japanese ?

(1) 16 students study both French and Japanese
(2) 10% of students at school who study Japanese also study French.

The answer is B.

Any explanations ? Thanks

  • +1 Upvote Post
  • Quote
  • Flag
Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
Top Reply
Post Fri Nov 17, 2006 5:26 pm
Let J be the number of students studying Japanese and F be the number of students studying French.

Given information in the main statement:
J >= 100
0.04F study Japanese and French.

Question: Is F > J?

Statement 1: Students studying J and F is 16. Therefore, 0.04F = 16, or
F = 400. This is insufficient, because J could be 100, in which case the answer to the question in the main stem is Yes, or J = 500, in which case J>F and the answer to the question is NO. INSUFFICIENT.

Statement 2: The algebraic translation of this statement is:

0.1 J = 0.04 F or F = 2.5 J, therefore F > J. SUFFICIENT.

  • +1 Upvote Post
  • Quote
  • Flag
gmat_enthus Senior | Next Rank: 100 Posts Default Avatar
Joined
18 Oct 2006
Posted:
62 messages
Upvotes:
1
Top Reply
Post Mon Nov 20, 2006 7:31 am
ramkarpa wrote:
Atleast 100 students in a school study Japanese. 4% of students who study French also study Japanese.Do more students study French than Japanese ?

(1) 16 students study both French and Japanese
(2) 10% of students at school who study Japanese also study French.

The answer is B.

Any explanations ? Thanks
Given J>100 (could be any number > 100)
1 0.04F = 16 => F=400. but J could be 200 or 500, cant be sure.
2 0.1J = 0.04F => J/F = 0.4 => J/F<1 => J
2 is sufficient. hence B

  • +1 Upvote Post
  • Quote
  • Flag
Post Fri Nov 17, 2006 5:26 pm
Let J be the number of students studying Japanese and F be the number of students studying French.

Given information in the main statement:
J >= 100
0.04F study Japanese and French.

Question: Is F > J?

Statement 1: Students studying J and F is 16. Therefore, 0.04F = 16, or
F = 400. This is insufficient, because J could be 100, in which case the answer to the question in the main stem is Yes, or J = 500, in which case J>F and the answer to the question is NO. INSUFFICIENT.

Statement 2: The algebraic translation of this statement is:

0.1 J = 0.04 F or F = 2.5 J, therefore F > J. SUFFICIENT.

  • +1 Upvote Post
  • Quote
  • Flag
gmat_enthus Senior | Next Rank: 100 Posts Default Avatar
Joined
18 Oct 2006
Posted:
62 messages
Upvotes:
1
Post Mon Nov 20, 2006 7:31 am
ramkarpa wrote:
Atleast 100 students in a school study Japanese. 4% of students who study French also study Japanese.Do more students study French than Japanese ?

(1) 16 students study both French and Japanese
(2) 10% of students at school who study Japanese also study French.

The answer is B.

Any explanations ? Thanks
Given J>100 (could be any number > 100)
1 0.04F = 16 => F=400. but J could be 200 or 500, cant be sure.
2 0.1J = 0.04F => J/F = 0.4 => J/F<1 => J
2 is sufficient. hence B

  • +1 Upvote Post
  • Quote
  • Flag
kulksnikhil Senior | Next Rank: 100 Posts Default Avatar
Joined
23 May 2006
Posted:
58 messages
Upvotes:
2
Post Wed Nov 15, 2006 9:14 pm
beatthegmat wrote:
ramkarpa wrote:
Atleast 100 students in a school study Japanese. 4% of students who study French also study Japanese.Do more students study French than Japanese ?

(1) 16 students study both French and Japanese
(2) 10% of students at school who study Japanese also study French.

The answer is B.

Any explanations ? Thanks
>=100 students study Japanese
4% of French students also study Japanese

(A) is not sufficient by itself because...
4/100 = 16/X
4X = 1600
X = 400

This is not sufficient because we still don't know the exact number of students studying Japanese (at LEAST 100)

(B) is sufficient because...
Let's say that 100 students study japanese. 10% of these students also study French, so that would be 10 students

The question prompt states that 4% of french students also study Japanese. We know that the number of students who study both are 10.

So, 4/100 = 10/X
4X = 1000
X=250

Thus, 250>100

(B) is the correct answer
I couldn't understand this one at all... now if 250 students are studying japanese then... 10% of that makes it 25 and not 10.. how does this suit the explaination above??

  • +1 Upvote Post
  • Quote
  • Flag

Best Conversation Starters

1 lheiannie07 116 topics
2 LUANDATO 67 topics
3 swerve 66 topics
4 ardz24 61 topics
5 AAPL 59 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

213 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

177 posts
3 image description Jeff@TargetTestPrep

Target Test Prep

168 posts
4 image description Rich.C@EMPOWERgma...

EMPOWERgmat

133 posts
5 image description GMATGuruNY

The Princeton Review Teacher

126 posts
See More Top Beat The GMAT Experts