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Please help me solve this DS from GMATPrep

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ramkarpa Just gettin' started! Default Avatar
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Please help me solve this DS from GMATPrep Post Sat Aug 12, 2006 6:41 pm
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  • Lap #[LAPCOUNT] ([LAPTIME])
    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

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    Post Wed Aug 16, 2006 8:23 pm
    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

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    800guy GMAT Destroyer! Default Avatar
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    Post Fri Aug 18, 2006 4:05 pm
    thanks dude for the clear explanation!! i really suck at these set problems...

    kulksnikhil Rising GMAT Star Default Avatar
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    Post Wed Nov 15, 2006 10:14 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??

    Mark Dabral Guest Default Avatar
    Post Fri Nov 17, 2006 6:26 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.

    gmat_enthus Rising GMAT Star Default Avatar
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    Post Mon Nov 20, 2006 8:31 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<F

    2 is sufficient. hence B

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