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If m/n were expressed as a decimal, would that decimal terminate?

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Bunuel
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If m/n were expressed as a decimal, would that decimal terminate? [#permalink] If m/n were expressed as a decimal, would that decimal terminate?   22 Apr 2016, 06:40
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If m/n were expressed as a decimal, would that decimal terminate?

(1) m=3k, where k is a positive integer.
(2) n=2t, where t is a positive integer.
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chetan2u
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Re: If m/n were expressed as a decimal, would that decimal terminate? [#permalink] If m/n were expressed as a decimal, would that decimal terminate?   22 Apr 2016, 07:32
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Bunuel wrote:
If m/n were expressed as a decimal, would that decimal terminate?

(1) m=3k, where k is a positive integer.
(2) n=2t, where t is a positive integer.



The terminating or non terminating decimal would depend on the denominator of the fraction, which is in its simplest form..
RULE- if the denominator consists of ONLY power of 2, 5 or both, the decimal formed will be terminating otherwise NOT..

lets see the statements--


(1) m=3k, where k is a positive integer.
nothing about denominator , so Insuff..

(2) n=2t, where t is a positive integer
this tells us that denominator is 2*t..
if t is 1, 2, 5 or its powers then it will be terminating..
If t is 3,6,7,9,11 etc it will be non terminating..
Insuff

Combined..
nothing much. Just gives an additional value of t as 3 for which it will be terminating, since 3 is in the numerator...
Insuff
E
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Re: If m/n were expressed as a decimal, would that decimal terminate? [#permalink] If m/n were expressed as a decimal, would that decimal terminate?   22 Apr 2016, 07:44
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Whether a number can be expressed as decimal depend on the value of the demominator.For the number to be a terminating decimal
the denominator should be of the form 2^m*5^n

Stmnt 1 : Says nothing about the denominator so not sufficient

Stmnt : Says something about the denominator but the value of n may or may not be expressed in the form 2^m*5^n
For e.g when t=2 the fraction m/n will terminate
For e.g when t=3 the fraction m/n may or may not terminate depending on the value
of m

Stmnt 1+ 2
e.g 3/6 the fraction will terminate
e.g 3/14 the fraction will not terminate
So both insufficient

Ans E
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Re: If m/n were expressed as a decimal, would that decimal terminate? [#permalink] If m/n were expressed as a decimal, would that decimal terminate?   15 Jun 2021, 15:37
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Solution:

St(1):-m=3k, where k is a positive integer.

No information on the denominator(Insufficient)

St(2):-n=2t, where t is a positive integer.

It says that denominator is in the form of 2t

=>If t=2 m/n will terminate

and if t=3 m/n may or may not terminate(dependent on m)

Combining both,

We still do not have a new result

(option e)

Devmitra Sen
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Re: If m/n were expressed as a decimal, would that decimal terminate? [#permalink]
15 Jun 2021, 15:37
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Bunuel
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