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Thread: try this..good question...

  1. #1
    Hard work and more supersuj's Avatar
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    try this..good question...

    What is the probability that and are reciprocal fractions?

    (1) v, w, y, and z are each randomly chosen from the first 100 positive integers.

    (2) The product (u)(x) is the median of 100 consecutive integers.

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    Sweeeeeeet! e.cartman's Avatar
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    Hmm..Looks like A to me. For random selections from a known range, there must be a way to find the probability.
    With stmt 2, we have no information vwyz so imo can't find the probability.

    But I think I am missing the point behind this question.

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    An Urch Guru Pundit Swami Sage genius_in_the_gene's Avatar
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    Wrong ans
    Last edited by genius_in_the_gene; 10-24-2008 at 10:16 PM.

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    Hard work and more supersuj's Avatar
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    What is the probability that (u/v)/w * (x/y)/z = 1 ?

    or (ux/vy)/wz =1 ?

    ux/vy = wz

    or ux = vywz ?

    Statement 1-->
    we know that the product of vywz is an integer (all 4 are randomly selected from the first 100 integers), but we dont know anything about u and x........INSUFFICIENT

    Statement 2-->
    Median of 100 consecutive integers is NOT an integer, so we know that ux is not an integer
    We know nothing about vywz .......INSUFFICIENT

    Combining 1 and 2,

    vywz is an integer and ux is NOT an integer, so there is NO WAY
    that vywz=ux !....SUFFICIENT

    Answer is C

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    An Urch Guru Pundit Swami Sage genius_in_the_gene's Avatar
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    Quote Originally Posted by supersuj View Post
    What is the probability that (u/v)/w * (x/y)/z = 1 ?

    or (ux/vy)/wz =1 ?

    ux/vy = wz

    or ux = vywz ?

    Statement 1-->
    we know that the product of vywz is an integer (all 4 are randomly selected from the first 100 integers), but we dont know anything about u and x........INSUFFICIENT

    Statement 2-->
    Median of 100 consecutive integers is NOT an integer, so we know that ux is not an integer
    We know nothing about vywz .......INSUFFICIENT

    Combining 1 and 2,

    vywz is an integer and ux is NOT an integer, so there is NO WAY
    that vywz=ux !....SUFFICIENT

    Answer is C
    Good one

  6. #6
    Every question counts! TaTum's Avatar
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    Very interesting question. Agree with supersuj's explanation; the answer should be C, with the zero probability.

    What's Official Answer?
    Confront the brutal facts. Yet never lose faiths.

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    Sweeeeeeet! e.cartman's Avatar
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    Yeah, good one about the median being non-integer.

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