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# Is \frac{r}{s^2} a terminating decimal? 1. s = 225 2. r = 81

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Senior Manager
Joined: 05 Oct 2008
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Is \frac{r}{s^2} a terminating decimal? 1. s = 225 2. r = 81 [#permalink]  12 Jan 2010, 03:27
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Question Stats:

86% (01:16) correct 14% (01:40) wrong based on 16 sessions
Is $$\frac{r}{s^2}$$ a terminating decimal?

1. $$s = 225$$
2. $$r = 81$$
Manager
Joined: 06 Jan 2010
Posts: 73
Followers: 2

Kudos [?]: 9 [0], given: 15

Re: Terminating Decimal [#permalink]  12 Jan 2010, 04:30
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
Intern
Joined: 10 Jan 2010
Posts: 10
Schools: wharton, lbs, harvard
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Kudos [?]: 0 [0], given: 1

Re: Terminating Decimal [#permalink]  15 Jan 2010, 01:11
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:
Verbal Forum Moderator
Joined: 02 Aug 2009
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Kudos [?]: 450 [0], given: 16

Re: Terminating Decimal [#permalink]  15 Jan 2010, 01:15
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
Re: Terminating Decimal   [#permalink] 15 Jan 2010, 01:15
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