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

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Question Stats: 34% (01:09) correct 66% (00:52) wrong based on 131 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  B
Joined: 13 Oct 2016
Posts: 359
GPA: 3.98
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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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.

Manager  D
Joined: 17 May 2015
Posts: 247
The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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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, 02:58.
Last edited by ganand on 19 Jan 2017, 03:54, edited 1 time in total.
Math Expert V
Joined: 02 Sep 2009
Posts: 58427
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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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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Manager  D
Joined: 17 May 2015
Posts: 247
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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Thank you Bunuel, I got the point.
Director  G
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 563
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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Top Contributor
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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Intern  B
Joined: 26 Sep 2018
Posts: 6
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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You all are stuck up in trap of question,

Actuall answer is C combination of Statment 1 and 2.

Although first Statment should have been sufficient... As per banuel explanation but we cannot assume that r and s are positive integers hence Statment one is insufficient.

Statment 2 is insufficient as only.

But from 1 and 2

R is positive integer and hence r/2^3 is terminating decimal.

Hence answer is C

Posted from my mobile device
Intern  B
Joined: 26 Sep 2018
Posts: 6
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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You all are stuck up in trap of question,

Actuall answer is C combination of Statment 1 and 2.

Although first Statment should have been sufficient... As per banuel explanation but we cannot assume that r and s are positive integers hence Statment one is insufficient.

Statment 2 is insufficient as only.

But from 1 and 2

R is positive integer and hence r/2^3 is terminating decimal.

Hence answer is C

Posted from my mobile device
Intern  Joined: 22 Jul 2019
Posts: 5
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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the question says ratio so, it cant be simplified further. r needs to be an integer here. Please correct me if i am wrong.

in my views, answer should be A.
Veritas Prep GMAT Instructor B
Joined: 01 May 2019
Posts: 50
Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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1
k9527511797 wrote:
You all are stuck up in trap of question,

Actuall answer is C combination of Statment 1 and 2.

Although first Statment should have been sufficient... As per banuel explanation but we cannot assume that r and s are positive integers hence Statment one is insufficient.

Statment 2 is insufficient as only.

But from 1 and 2

R is positive integer and hence r/2^3 is terminating decimal.

Hence answer is C

Posted from my mobile device

Statement 2 does NOT say that r is an integer. Statement 2 only tells us that r is positive. So r may be a positive integer, a positive terminating decimal, a positive non-terminating decimal, etc.

The integer assumption trap is extremely common in DS, and you fell for it here. Be sure to watch out for it, as it is often the difference between sufficient and insufficient. Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima   [#permalink] 30 Jul 2019, 10:37
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