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Difficult Math Question #52 - Algebra

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800guy Master | Next Rank: 500 Posts Default Avatar
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Difficult Math Question #52 - Algebra

Post Mon Nov 13, 2006 4:59 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If k=m(m+4)(m+5) k and m are positive integers. Which of the following could divide k evenly?

    I.3
    II.4
    III.6

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    kulksnikhil Senior | Next Rank: 100 Posts Default Avatar
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    Post Tue Nov 14, 2006 10:59 pm
    800guy wrote:
    If k=m(m+4)(m+5) k and m are positive integers. Which of the following could divide k evenly?

    I.3
    II.4
    III.6
    Guess this is not complete question...

    aren't there combinations like I only, I & II etc ??

    800guy Master | Next Rank: 500 Posts Default Avatar
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    Post Wed Nov 15, 2006 5:32 pm
    you're right, kulksnikhil. this problem wasn't given in complete form. anyway, here's the OA:

    The idea is to find what are the common factors that we get in the answer.

    m = 1, k = 30 which is divisible by 1,2,3,5,6,10, 15 and 30
    m = 2, k = 84 which is divisible by 1,2,3,4,6, ....

    As can be seen, the common factors are 1,2,3,6

    So answer is 3 and 6

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