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victorgsiu
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Post subject: In the fraction x/y, where x and y are positive integers, wh  Posted: Mon Oct 26, 2009 7:28 pm |
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Posts: 32
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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 2)
Says nothing about y, insufficient.
Statement 1)
rephrase: the LCM of y and 3 is (2)(3). Draw an LCM chart. 3 has one (3), so y MUST have one (2). additionally, y may also have an additional (3), without changing the LCM. Therefore, y can be (2) OR (2)(3). Insufficient.
Together)
y = (2) or (2)(3)
x = 1, does not affect the denominator.
Still insufficient. E.
Was what I did in Statement 1 appropriate, and did I solve this problem in the best way possible?
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agha79
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Fri Oct 30, 2009 9:39 pm |
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I agree with your approach for statment one. Thats what i did as well and got to "E"
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Ben Ku
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Thu Dec 03, 2009 4:02 am |
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Posts: 819
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Your approach is good!
_________________
Ben Ku
Instructor
ManhattanGMAT
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mariabfa
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Mon Mar 05, 2012 1:51 pm |
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I don't understand Statement 1 - could you explain? Thanks!
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vijay.gmat2011
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Mon Mar 05, 2012 10:14 pm |
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Your approach is correct except there is one more possibility for y: 6
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RonPurewal
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Wed Mar 07, 2012 8:23 pm |
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note also that the numbers "3" and "6" are really small, so you can just think about the possibilities.
if you think about the possibilities that will generate a LCD of 6, you should realize the following:
* they both have to go into 6 ... so they must be 1, 2, 3, or 6.
* one of them is 3. (this is given)
* the other one can't be 3 or 1, since those possibilities would give a LCD of 3 rather than 6.
* so, that means the denominator of the other fraction must be either 2 or 6.
at this point, you can just examine the most elementary possibilities -- namely, 1/2 and 1/6 -- and that's enough to conclude that the answer is (e).
_________________
Being well-dressed gives a feeling of inward tranquillity [that] religion is powerless to bestow.
C.F. Forbes
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sachin.w
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Fri Jan 25, 2013 5:35 am |
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Location: Bangalore
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Sir Ron,
Though I understand the soln to this Question, I would like to know if we need to learn finding LCM of fractions..
Kindly guide us.
Regards,
Sach
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jlucero
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Fri Jan 25, 2013 6:30 pm |
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sachin.w wrote: Sir Ron,
Though I understand the soln to this Question, I would like to know if we need to learn finding LCM of fractions..
Kindly guide us.
Regards,
Sach LCM = least common multiple (multiple is a whole integer) LCD = least common denominator (bottom of a fraction) It's impossible to find the LCM of a fraction, because fractions are generally not whole numbers. But knowing your LCMs and LCDs are both crucially important for the GMAT.
_________________
Joe Lucero
Manhattan GMAT Instructor
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sachin.w
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Sat Jan 26, 2013 1:08 am |
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jlucero wrote: sachin.w wrote: Sir Ron,
Though I understand the soln to this Question, I would like to know if we need to learn finding LCM of fractions..
Kindly guide us.
Regards,
Sach LCM = least common multiple (multiple is a whole integer) LCD = least common denominator (bottom of a fraction) It's impossible to find the LCM of a fraction, because fractions are generally not whole numbers. But knowing your LCMs and LCDs are both crucially important for the GMAT. Ok.. Thanks a lot.. I actually misinterpreted LCD as LCM.. :D
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jnelson0612
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Post subject: Re: In the fraction x/y, where x and y are positive integers, wh Posted: Sat Jan 26, 2013 6:58 pm |
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| ManhattanGMAT Staff |
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Posts: 2390
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sachin.w wrote: jlucero wrote: sachin.w wrote: Sir Ron,
Though I understand the soln to this Question, I would like to know if we need to learn finding LCM of fractions..
Kindly guide us.
Regards,
Sach LCM = least common multiple (multiple is a whole integer) LCD = least common denominator (bottom of a fraction) It's impossible to find the LCM of a fraction, because fractions are generally not whole numbers. But knowing your LCMs and LCDs are both crucially important for the GMAT. Ok.. Thanks a lot.. I actually misinterpreted LCD as LCM.. :D Glad that things are straightened out for you! :-)
_________________
Jamie Nelson
ManhattanGMAT Instructor
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