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In the fraction x/y, where x and y are positive integers, wh

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In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 28 Feb 2014, 03:04
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1

Data Sufficiency
Question: 119
Category: Arithmetic Properties of numbers
Page: 161
Difficulty: 650


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Re: In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 28 Feb 2014, 03:05
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SOLUTION

In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6. Not sufficient.

(2) x = 1 --> no info about y. Not sufficient.

(1)+(2) y can still be 2 or 6. Not sufficient.

Answer: E.
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Re: In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 01 Mar 2014, 01:50
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1


Statement 1: LCM of y and 3 is 6. Which means y can be 2 or 6. Not sufficient.
Statement 2: Only talks about value of x. Not sufficient.

Both statements combined together is also not sufficient as y can still be 2 or 6.

Answer: Option E
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Re: In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 18 May 2014, 08:59
IMO it is E.

least common denominator is 6 from stmt 1.

then it can be x/2 or x/6 when compared with 1/3 both will give 6 as the lease common denominator.

INSUFF

stmt 2. no info bout Y.. Insuff
together...same problem as stmt 1.
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In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 30 Oct 2016, 15:16
Bunuel wrote:
SOLUTION

In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6. Not sufficient.

(2) x = 1 --> no info about y. Not sufficient.

(1)+(2) y can still be 2 or 6. Not sufficient.

Answer: E.


Bunuel, I couldn't follow what this sentence means: "The least common denominator of x/y and 1/3 is 6 " . What is the Least common denominator?! So, are they just saying that the least common multiple between y and 3 is 6?
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Re: In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 30 Oct 2016, 22:51
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herbgatherer wrote:
Bunuel wrote:
SOLUTION

In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6. Not sufficient.

(2) x = 1 --> no info about y. Not sufficient.

(1)+(2) y can still be 2 or 6. Not sufficient.

Answer: E.


Bunuel, I couldn't follow what this sentence means: "The least common denominator of x/y and 1/3 is 6 " . What is the Least common denominator?! So, are they just saying that the least common multiple between y and 3 is 6?


The least common denominator is the least common multiple of the denominators of a set of fractions. For example, the least common denominator of 1/2 and 1/3 is 6.
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Re: In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 09 Dec 2017, 22:57
Bunuel can I have more math questions link (PS+DS) like this to practice?
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Re: In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 09 Dec 2017, 23:02
sadikabid27 wrote:
Bunuel can I have more math questions link (PS+DS) like this to practice?


Could not find questions similar to this one but the links below should help to master divisibility/multiples/factors questions.

5. Divisibility/Multiples/Factors



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Re: In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 07 May 2018, 03:41
Bunuel wrote:
SOLUTION

In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6. Not sufficient.

(2) x = 1 --> no info about y. Not sufficient.

(1)+(2) y can still be 2 or 6. Not sufficient.

Answer: E.


Hi Bunuel,

The way your question is phrased as seems to make it more accurate for interpretation but some sources have statement I phrased as "The LCM of x/y and 1/3 is 6".
In that case, we would proceed to say LCM of (x,1) is 6 and GCD of (y,3) is 1?
Here since we're interested in the value of y, and y,3 have only 1 as common factor that means y and 3 are co-prime but y could then have any value.

Statement 2 is anyway insufficient so 1 +2 would still yield E?
Is this correct?
Thanks in anticipation.
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Re: In the fraction x/y, where x and y are positive integers, wh  [#permalink]

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New post 07 May 2018, 10:42
Aditi10 wrote:
Bunuel wrote:
SOLUTION

In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6. Not sufficient.

(2) x = 1 --> no info about y. Not sufficient.

(1)+(2) y can still be 2 or 6. Not sufficient.

Answer: E.


Hi Bunuel,

The way your question is phrased as seems to make it more accurate for interpretation but some sources have statement I phrased as "The LCM of x/y and 1/3 is 6".
In that case, we would proceed to say LCM of (x,1) is 6 and GCD of (y,3) is 1?
Here since we're interested in the value of y, and y,3 have only 1 as common factor that means y and 3 are co-prime but y could then have any value.

Statement 2 is anyway insufficient so 1 +2 would still yield E?
Is this correct?
Thanks in anticipation.


Hello

My perspective - Yes, you are right in that if we were given LCM of x/y and 1/3 (rather than least common denominator...) then the resultant LCM would have been: x/(GCD of y&3) = 6, which can only happen if x = 6 and GCD of y/3 = 1.
But then second statement wouldn't have made any sense at all, because from first statement x=6 and in second statement x=1. Such inconsistency cannot be there in GMAT.

So, for this particular question, the word LCM would not be used I think. Also, I think LCM of fractions is probably something that is NOT tested on the GMAT (experts can intervene to correct if I am wrong)
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Re: In the fraction x/y, where x and y are positive integers, wh &nbs [#permalink] 07 May 2018, 10:42
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