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# Is r/s^2 a terminating decimal?

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Senior Manager
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Is r/s^2 a terminating decimal? [#permalink]

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12 Jan 2010, 04:27
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76% (01:19) correct 24% (01:09) wrong based on 31 sessions

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Is $$\frac{r}{s^2}$$ a terminating decimal?

(1) $$s = 225$$
(2) $$r = 81$$
[Reveal] Spoiler: OA
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Joined: 06 Jan 2010
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Re: Is r/s^2 a terminating decimal? [#permalink]

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12 Jan 2010, 05:30
C

factors of 225 square;
(5,5,5,5,3,3,3,3)
If the numerator is a multiple of 81, fraction is terminating. Else, it is non terminating.

combining statement 1 and statement 2, r/square(s) is terminating. Hence c
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Re: Is r/s^2 a terminating decimal? [#permalink]

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15 Jan 2010, 02:11
the square of any number ending with 5, also has 5 as its unit digit. and if the unit digit of the denominator is 5 the fraction always yields a terminating decimal number. but here as the number has three as its factor the above law is not applicable

OA is C:evil:
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Re: Is r/s^2 a terminating decimal? [#permalink]

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15 Jan 2010, 02:15
sorry,
the square of any number ending with 5, also has 5 as its unit digit. and if the unit digit of the denominator is 5 the fraction always yields a terminating decimal number.

OA is a

i m sorry friend.... u r forgetting 225 has 9 as a factor and 9 leaves a terminating decimal?.. no way unless it gets cancelled by numerator
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Re: Is r/s^2 a terminating decimal?   [#permalink] 15 Jan 2010, 02:15
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