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The ration r/s is expressed as a decimal. Is r/s, a terminating decima

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The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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New post 19 Jan 2017, 01:01
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The ration r/s is expressed as a decimal. Is r/s, a terminating decimal?

(1) s = 2^3
(2) r > 0
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Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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New post 19 Jan 2017, 01:15
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siddharthsinha123 wrote:
The ration r/s is expressed as a decimal. Is r/s, a terminating decimal?

(1) s = 2^3
(2) r > 0


(1) Although we have \(2^a\) in our denominator our fraction can be either a termination decimal or an integer, if s is a factor of r.

Ex. \(\frac{1}{8}\) or \(\frac{16}{8}\). Insufficient.

(2) Clearly insufficient.

(1) & (2) Again our fraction can be either a terminatig decimal: ex. \(\frac{9}{8}\) or an integer \(\frac{16}{8}\). Insufficient.

Answer E.
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The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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New post Updated on: 19 Jan 2017, 02:54
1
vitaliyGMAT wrote:
siddharthsinha123 wrote:
The ration r/s is expressed as a decimal. Is r/s, a terminating decimal?

(1) s = 2^3
(2) r > 0


(1) Although we have \(2^a\) in our denominator our fraction can be either a termination decimal or an integer, if s is a factor of r.

Ex. \(\frac{1}{8}\) or \(\frac{16}{8}\). Insufficient.


(2) Clearly insufficient.

(1) & (2) Again our fraction can be either a terminatig decimal: ex. \(\frac{9}{8}\) or an integer \(\frac{16}{8}\). Insufficient.

Answer E.


Hi vitaliyGMAT,

Consider the following OG question (DS 148, OG 13th Edition)

Any decimal that has only a finite number of nonzero
digits is a terminating decimal. For example, 24, 0.82,
and 5.096 are three terminating decimals.

any-decimal-that-has-only-a-finite-number-of-nonzero-digits-144328.html

I think the answer should be (A).

Thanks.

Originally posted by ganand on 19 Jan 2017, 01:58.
Last edited by ganand on 19 Jan 2017, 02:54, edited 1 time in total.
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Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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New post 19 Jan 2017, 02:25
4
ganand wrote:
vitaliyGMAT wrote:
siddharthsinha123 wrote:
The ration r/s is expressed as a decimal. Is r/s, a terminating decimal?

(1) s = 2^3
(2) r > 0


(1) Although we have \(2^a\) in our denominator our fraction can be either a termination decimal or an integer, if s is a factor of r.

Ex. \(\frac{1}{8}\) or \(\frac{16}{8}\). Insufficient.


(2) Clearly insufficient.

(1) & (2) Again our fraction can be either a terminatig decimal: ex. \(\frac{9}{8}\) or an integer \(\frac{16}{8}\). Insufficient.

Answer E.


Hi vitaliyGMAT,

Consider the following OG question (DS 148, OG 13th Edition)

Any decimal that has only a finite number of nonzero
digits is a terminating decimal. For example, 24, 0.82,
and 5.096 are three terminating decimals.

any-decimal-that-has-only-a-finite-number-of-nonzero-digits-144328.html

I think the answer should be (A).

Thanks.


vitaliyGMAT First of all, we can consider an integer as a terminating decimal.
ganand, the answer is still E, because we are not told that r is an integer. Consider r = 1/3.
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Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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New post 19 Jan 2017, 02:48
Thank you Bunuel, I got the point.
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Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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New post 19 Jan 2017, 02:56
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Hi Siddharthasinha123,

Answer should be E.

You will end up chosing answer as “A” (1 alone sufficient) if “r”considered as an integer.

So here what’s the theory is,

A fraction in its simplified form, have only 2’s or 5’s(or both) in the denominator, then it’s a terminating fraction.

Statement I is insufficient:

We don’t know whether “r” is an integer,

If r = 1/7 or 1/3, then r/s is not a terminating decimal.

If r = 2, then r/s is a terminating decimal.

Statement II is insufficient:

Nothing about “s”, that is nothing about denominator.

So not sufficient,

Together I and II also, we don’t have anything to say whether “r” is an integer.

So together also not sufficient,

So the answer is E.
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Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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