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Thread: DS : finite nonzero

  1. #1
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    DS : finite nonzero

    Does the decimal equivalent of P/Q, where P and Q are postive integers, contain only a finite number of nonzero digits>

    1. P is factor of 200
    2. Q is a factor of 100

  2. #2
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    Answer should be B

    1. P is factor of 200
    Insufficient: Numerator doesn't really matter

    2. Q is a factor of 100
    Sufficient
    factors of 100 --> 1,2,5, and other combinations of 2,5. None of them leave a non terminating decimal

  3. #3
    An Urch Guru Pundit Swami Sage
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    Ans is B

    stmt 1: we don't know denominator, say 200/3 is infinite decimal whereas 200/2 is not : INsufficient

    Stmt 2: Sufficient
    If denominator is in form of 10^n (where n is an integer) on division it will always result in finite decimal

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    GMater:

    From 2, the denominator is NOT in the form of 10 ^ n, but a factor of 100. Hence Q can be 2 or 5 and so on

  5. #5
    An Urch Guru Pundit Swami Sage
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    Oops, I missed it.

    Anyway, If the denominator can be converted to the form of 10^n. The division results in finite decimal

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