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# Is r/s^2 a terminating number? 1) s = 225 2) r = 81

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Is r/s^2 a terminating number? 1) s = 225 2) r = 81 [#permalink]  17 May 2008, 17:34
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Is r/s^2 a terminating number?

1) s = 225
2) r = 81
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Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
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Re: DS: terminating number [#permalink]  17 May 2008, 18:18
Expert's post
C

A fraction is terminated if denominator consist of one of or both primes number: 2 and 5.

1) s=225=5*5*9. for r=1 r/s^2 is not terminated, for r=9^2 the fraction is terminated

2) r=81. for s=17 r/s^2 is not terminated, for s=2*9^2 the fraction is terminated

1)&2) 9^2/(5*5*9)^2=1/5^4 is a terminated fraction. sufficient.
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Re: DS: terminating number   [#permalink] 17 May 2008, 18:18
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