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

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

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19 Jan 2017, 01:01
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75% (hard)

Question Stats:

35% (01:08) correct 65% (00:43) wrong based on 93 sessions

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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
Senior Manager
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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19 Jan 2017, 01:15
3
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.

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Posts: 249
The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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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.

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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Joined: 02 Sep 2009
Posts: 52344
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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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.

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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Posts: 249
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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19 Jan 2017, 02:48
Thank you Bunuel, I got the point.
Director
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 533
Location: India
GMAT 1: 780 Q51 V46
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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19 Jan 2017, 02:56
1
Top Contributor
Hi Siddharthasinha123,

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:

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,

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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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01 Feb 2018, 05:58
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Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima &nbs [#permalink] 01 Feb 2018, 05:58
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