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# If n and m are positive integers, is n/m equal to a

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If n and m are positive integers, is n/m equal to a [#permalink]  02 Oct 2009, 00:46
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0% (00:00) correct 100% (02:03) wrong based on 2 sessions
If n and m are positive integers, is n/m equal to a terminating decimal? (Terminating decimal is a decimal that has only a finite number of non-zero digits).

1/ n is a factor of 60
2/ m is a factor of 250
Director
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Re: Terminating decimal [#permalink]  02 Oct 2009, 01:59
B
factors of m can only be 1,2 or 5. in any case, we get a terminating decimal.

Last edited by Economist on 02 Oct 2009, 22:19, edited 1 time in total.
Intern
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Re: Terminating decimal [#permalink]  02 Oct 2009, 02:18
IMO its E.

n=1/60,1/120 ....

lets break these into prime factors.
60=2*2*3*5

m=1/125,1/250 ....
125=5*5*5

n/m=125/60..now number doesnt have a 3,so let me how it terminate.

My Pick E.

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Re: Terminating decimal [#permalink]  02 Oct 2009, 02:33
I guess the "/" is just a delimiter to specify the statement number It is not 1/n or 2/m.
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Re: Terminating decimal [#permalink]  02 Oct 2009, 02:38
ohh ok...that made a good DS too though
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Re: Terminating decimal [#permalink]  02 Oct 2009, 02:55
abhivarma03 wrote:
IMO its E.

n=1/60,1/120 ....

lets break these into prime factors.
60=2*2*3*5

m=1/125,1/250 ....
125=5*5*5

n/m=125/60..now number doesnt have a 3,so let me how it terminate.

My Pick E.

Yup you are right
But then the answer would be B.
Because, even if we consider 1/n...n can ONLY be 1..because a fraction cannot be a factor of an integer. But this is not sufficient.

Similarly m can ONLY be 1. That is sufficient.
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Re: Terminating decimal [#permalink]  02 Oct 2009, 03:10
Economist wrote:
I guess the "/" is just a delimiter to specify the statement number It is not 1/n or 2/m.

Sorry dudes for this confusion.

Thanks
Intern
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Re: Terminating decimal [#permalink]  02 Oct 2009, 14:26
I have a small doubt...

As m can only have factors 1,2 and 5.. should stmt B in itself not be sufficient to answer the question?

P.S. I am assuming here that any fraction divided by 2 or 5 will lead to a terminating decimal..
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Re: Terminating decimal [#permalink]  02 Oct 2009, 14:31
rvthryet wrote:
I have a small doubt...

As m can only have factors 1,2 and 5.. should stmt B in itself not be sufficient to answer the question?

P.S. I am assuming here that any fraction divided by 2 or 5 will lead to a terminating decimal..

I agree. Answer should be B and not C.
Director
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Re: Terminating decimal [#permalink]  02 Oct 2009, 15:36

1. n is a factor of 60. no information about B... insuff
2. m is a factor of 250....prime factors of 250 are 5 and 2...divide any number by 5 & 2 will result into terminating decimal
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Re: Terminating decimal [#permalink]  02 Oct 2009, 22:18
Correct guys I meant B and not C.
andrewg can you please re-check OA?
Re: Terminating decimal   [#permalink] 02 Oct 2009, 22:18
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