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Decimal equivalent

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by gmat009 » Tue Oct 07, 2008 9:16 pm
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

OA E, IMO B.
Plz. explain
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Source: — Data Sufficiency |
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by Morgoth » Wed Oct 08, 2008 12:58 am
I agree, OA should be B

Any integer when divided by 8, will be a terminating decimal.
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by schakiiieee » Wed Oct 08, 2008 3:38 pm
IMHO B as well.
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by raju232007 » Thu Oct 09, 2008 9:20 pm
Well,consider this

To find whether a fraction is terminating or not
1.Prime factorize the denominator
2.If there is a prime factor besides 2 or 5 in the denominator,the fraction represents a recurring decimal..

As per statement 2
q=8..and it contains only prime factor 2

Hence this information is sufficient to prove that the given fraction contains only a finite number of non zero digits
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by vivek.kapoor83 » Thu Oct 09, 2008 10:06 pm
iMO B
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