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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, 02:01
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75% (hard)

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
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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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19 Jan 2017, 02:15
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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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, 03:54
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, 02:58.
Last edited by ganand on 19 Jan 2017, 03:54, edited 1 time in total.
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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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19 Jan 2017, 03:25
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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Re: The ration r/s is expressed as a decimal. Is r/s, a terminating decima  [#permalink]

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19 Jan 2017, 03:48
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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19 Jan 2017, 03:56
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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27 Jul 2019, 13:44
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.

Posted from my mobile device
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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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27 Jul 2019, 13:45
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.

Posted from my mobile device
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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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30 Jul 2019, 09:00
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.
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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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30 Jul 2019, 10:37
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.

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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