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Thread: DS, please explain

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    Eager! sanagesh just joined TestMagic.
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    DS, please explain

    Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only
    a finite number of nonzero digits?
    (1) P>Q
    (2) Q=8


  2. #2
    TestMagic Guru-in-Training DWarrior 's dreams are becoming reality. DWarrior's Avatar
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    Statement 1: Insufficient, if P is 4 and Q is 3, it'll be an infinitely repeating decimal.

    Statement 2: We know it's guaranteed to terminate because Q is 8. If any digit is 0, it will not make an integer because the max value the next digit can have is 9, which will only carry over 7 to the 0 place, and there's no way to get an integer that way. I don't think a zero to the left of the decimal counts (so if P=1 and Q=8, the number will be .125, not 0.125, and thus will have all non-zero digits). Sufficient

    B

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    TestMagic Guru-in-Training krusta80 's dreams are becoming reality.
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    For any quotient to have a terminating decimal, the denominator of the equation must have 2 and/or 5 as its only prime factor(s).

    8 = 2^3, so B is the answer

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