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Thread: simple DS

  1. #1
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    simple DS

    If carmen had 12 more tapes she would have twice as many tapes as jack
    does carmen have fewer tapes than jack

    a)jack has more than 5 tapes
    b)carmen has fewer than 12 tapes

    A dosent tell us anything

    I think answer is B
    Please confirm and explain
    Thanks

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    Just Do It! YEHAA's Avatar
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    Re: simple DS

    Say Carmen has x number of tapes and,
    Jack has y number of tapes.
    We are asked if y>x.
    Then, our equation is x+12=2y

    (I) If y>5, y>x whatever greater than 5 we take y. Sufficient!
    (II) Again, if x<12, y>x whatever less than 12 we take x. Sufficient!

    You can try a few values in the equation.

    So, I think, the answer is (D).

  3. #3
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    Re: simple DS

    Quote Originally Posted by YEHAA
    Say Carmen has x number of tapes and,
    Jack has y number of tapes.
    We are asked if y>x.
    Then, our equation is x+12=2y

    (I) If y>5, y>x whatever greater than 5 we take y. Sufficient!
    (II) Again, if x<12, y>x whatever less than 12 we take x. Sufficient!

    You can try a few values in the equation.

    So, I think, the answer is (D).
    Now let's try to find out the value of y-x

    y-x = y-(12-2y) = y-12
    y>5 does not tell you whether or not (y-12) positive. So we can not conclude whether y>x or y<x, right?.

    Statement 1 : Insufficient
    Statement 2 :
    y-x = (x+12)/2 - x = (12-x)/2
    for all values of x<12, ((12-x)/2) is positive. - Sufficient

    Answer is B

  4. #4
    Just Do It! YEHAA's Avatar
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    Re: simple DS

    Yeah, (II) is NOT sufficient.
    If we take y>12, then we need an x which is greater than y.

    I think, I shoul take DS problems a bit more seriously

    Sorry about my fault...

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