Jun 18 09:00 PM EDT  10:00 PM EDT Strategies and techniques for approaching featured GMAT topics. Tuesday, June 18th at 9 pm ET Jun 18 10:00 PM PDT  11:00 PM PDT Send along your receipt from another course or book to info@empowergmat.com and EMPOWERgmat will give you 50% off the first month of access OR $50 off the 3 Month Plan Only available to new students Ends: June 18th Jun 19 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. Jun 22 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jun 23 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55635

In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
Updated on: 06 Feb 2019, 04:21
Question Stats:
58% (01:28) correct 42% (01:25) wrong based on 702 sessions
HideShow timer Statistics
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 The Official Guide For GMAT® Quantitative Review, 2ND Edition
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Originally posted by Bunuel on 28 Feb 2014, 04:04.
Last edited by Bunuel on 06 Feb 2019, 04:21, edited 1 time in total.
Updated.




Math Expert
Joined: 02 Sep 2009
Posts: 55635

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
28 Feb 2014, 04:05
SOLUTIONIn 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.
_________________




Manager
Joined: 31 Mar 2013
Posts: 63
Location: India
GPA: 3.02

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
01 Mar 2014, 02:50
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIn 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



Manager
Joined: 18 May 2014
Posts: 57
Location: United States
Concentration: General Management, Other
GMAT Date: 07312014
GPA: 3.99
WE: Analyst (Consulting)

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
18 May 2014, 09:59
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.



Intern
Joined: 08 May 2016
Posts: 26
Location: United States
WE: Project Management (Aerospace and Defense)

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
30 Oct 2016, 16:16
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?
_________________



Math Expert
Joined: 02 Sep 2009
Posts: 55635

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
30 Oct 2016, 23:51
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.
_________________



Manager
Joined: 10 Sep 2014
Posts: 78
Location: Bangladesh
GPA: 3.5
WE: Project Management (Manufacturing)

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
09 Dec 2017, 23:57
Bunuel can I have more math questions link (PS+DS) like this to practice?



Math Expert
Joined: 02 Sep 2009
Posts: 55635

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
10 Dec 2017, 00:02
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 For other subjects: ALL YOU NEED FOR QUANT ! ! !Ultimate GMAT Quantitative Megathread
_________________



Intern
Joined: 04 Feb 2017
Posts: 13

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
07 May 2018, 04:41
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 coprime 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.



Retired Moderator
Joined: 22 Aug 2013
Posts: 1438
Location: India

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
07 May 2018, 11:42
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 coprime 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)



Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 305

In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
14 May 2019, 13:42
(1) The least common denominator of x/y and 1/3 is 6.Bunuel VeritasKarishma chetan2u IanStewart or other experts, can you explain why we read this statement to mean "y and 3 have LCM of 6" and not "x/y times 1/3 is x/6?" I read it as the latter... so I got C (see below) For (1): 1/3*1/2 = 1/6 1/3*3/6 = 1/6 multiple values for x (1,3) and for y (2,6), insufficient (2) x = 1 no info about y, insufficient (1&2) if x=1, y=2 ... (1/3)*(1/2) = 1/6, Ok x can't be 3 so (1/3)*(3/6) is not possible now. Sufficient since there's a definite value for x, y



GMAT Tutor
Joined: 24 Jun 2008
Posts: 1617

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
14 May 2019, 15:31
energetics wrote: (1) The least common denominator of x/y and 1/3 is 6.Bunuel VeritasKarishma chetan2u IanStewart or other experts, can you explain why we read this statement to mean "y and 3 have LCM of 6" and not "x/y times 1/3 is x/6?" Because that's not what that sentence means. You might think of what the same sentence would mean if you had numbers everywhere, instead of letters. If I were to talk about the "least common denominator of the fractions 1/4 and 1/6", I wouldn't be talking about the product of 1/4 and 1/6, or of 4 and 6. The answer would not be 24. Instead I'd be talking about the smallest common denominator we could make, if we wanted to, say, add those two fractions  and that's exactly what the Least Common Multiple is. The answer would be 12, the LCM of 4 and 6.
_________________
GMAT Tutor in Toronto
If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com



Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 305

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
14 May 2019, 20:03
Thanks Ian, that clears it up.
If it was worded "the least common denominator of the product of x/y and 1/3 is 6" then it would be solved as I wrote above?



ISB School Moderator
Joined: 08 Dec 2013
Posts: 422
Location: India
Concentration: Nonprofit, Sustainability
WE: Operations (NonProfit and Government)

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
14 May 2019, 22:36
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? this article will help you: https://www.mathsisfun.com/definitions/ ... nator.html
_________________
Kindly drop a '+1 Kudos' if you find this post helpful.GMAT Math Book I never wanted what I gave up I never gave up what I wanted



GMAT Tutor
Joined: 24 Jun 2008
Posts: 1617

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
15 May 2019, 08:24
energetics wrote: Thanks Ian, that clears it up.
If it was worded "the least common denominator of the product of x/y and 1/3 is 6" then it would be solved as I wrote above? That sentence wouldn't mean anything  it would be like saying "the least common multiple of 6 is 6". If you are talking about the "least common multiple", you are talking about a multiple that is common to two (or more) numbers. In the same way, if you talk about a least common denominator, you are talking about a denominator common to two or more fractions. In your sentence, you're only talking about the denominator of a single fraction, the product of the fractions you mention. But I think I may now understand how you're interpreting the wording. I think you're interpreting it to mean something like "the lowest possible denominator (if everything stays an integer) of the product of x/y and 1/3 is 6", or "if (x/y)(1/3) were completely reduced, its denominator would be 6". But if that's what the question meant, they would need to use different phrasing  they would need to talk about reducing that fraction completely, and not about "least common denominators".
_________________
GMAT Tutor in Toronto
If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com



Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 305

Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
Show Tags
15 May 2019, 09:43
Yes, that's exactly it. My point of confusion was thinking it meant that multiplying those two fractions would lead something/6 when it is fully reduced.
I understand the concept when it's worded as LCM: x is divisible by 6 and x is divisible by 4, so x must be at least 12 (this would be the LCM of 6 and 4).
I think the particular phrasing in this problem is not something I saw much previously (or at least not recently), so I managed to completely obfuscate what it was actually asking me to do... I suppose from being tired and assuming that some mathematical operation was required because of variables.




Re: In the fraction x/y, where x and y are positive integers, what is the
[#permalink]
15 May 2019, 09:43






