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# OGM#113 In the fraction x/y, where x and y are positive

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OGM#113 In the fraction x/y, where x and y are positive [#permalink]

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10 Oct 2008, 21:31
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OGM#113
In the fraction x/y, where x and y are positive integers, what is the value of y?
a. The least common denominator of x/y and 1/3 is 6
b. x=1

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10 Oct 2008, 22:07
OGM#113
In the fraction x/y, where x and y are positive integers, what is the value of y?
a. The least common denominator of x/y and 1/3 is 6
b. x=1

First we can rule out statement (2) as it gives us no info about y. So (2) is insufficient.

(1) LCM of denominators is given as 6. that is LCM of y and 3 is 6.

y can be 2 or 6. 2 and 3 have LCM 6. 3 and 6 have LCM 6.

Combined also not much help here.

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10 Oct 2008, 22:17
IMOE:

lcm of 2,3 -> 6

lcm of 6,3 -> 6

A: we get 2values for y - 2,6 not suff.

B:y can have any positive value:not suff.

A+B:still y can have 2values ,2 &6

E.

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11 Oct 2008, 01:00
amitdgr wrote:
OGM#113
In the fraction x/y, where x and y are positive integers, what is the value of y?
a. The least common denominator of x/y and 1/3 is 6
b. x=1

First we can rule out statement (2) as it gives us no info about y. So (2) is insufficient.

(1) LCM of denominators is given as 6. that is LCM of y and 3 is 6.

y can be 2 or 6. 2 and 3 have LCM 6. 3 and 6 have LCM 6.

Combined also not much help here.

BUt given that x=1, shouldn't y equate to 6?

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11 Oct 2008, 01:05
amitdgr wrote:
OGM#113
In the fraction x/y, where x and y are positive integers, what is the value of y?
a. The least common denominator of x/y and 1/3 is 6
b. x=1

First we can rule out statement (2) as it gives us no info about y. So (2) is insufficient.

(1) LCM of denominators is given as 6. that is LCM of y and 3 is 6.

y can be 2 or 6. 2 and 3 have LCM 6. 3 and 6 have LCM 6.

Combined also not much help here.

BUt given that x=1, shouldn't y equate to 6?

redbean ... the value of x here does not seem to affect y.
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11 Oct 2008, 02:25
amitdgr wrote:
OGM#113
In the fraction x/y, where x and y are positive integers, what is the value of y?
a. The least common denominator of x/y and 1/3 is 6
b. x=1

First we can rule out statement (2) as it gives us no info about y. So (2) is insufficient.

(1) LCM of denominators is given as 6. that is LCM of y and 3 is 6.

y can be 2 or 6. 2 and 3 have LCM 6. 3 and 6 have LCM 6.

Combined also not much help here.

If y can be 2 or 6, then x=3 or 1. If it is established that x =1, hten we know y=6?I'm confused sorry.

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11 Oct 2008, 02:33
amitdgr wrote:
OGM#113
In the fraction x/y, where x and y are positive integers, what is the value of y?
a. The least common denominator of x/y and 1/3 is 6
b. x=1

First we can rule out statement (2) as it gives us no info about y. So (2) is insufficient.

(1) LCM of denominators is given as 6. that is LCM of y and 3 is 6.

y can be 2 or 6. 2 and 3 have LCM 6. 3 and 6 have LCM 6.

Combined also not much help here.

If y can be 2 or 6, then x=3 or 1. If it is established that x =1, hten we know y=6?I'm confused sorry.

redbean, the question does not say that x/y=1/3.

The question only says that y and 3 have LCM of 6.

x can be any value, it wont affect our problem here. So the information that x=1 is not useful.
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11 Oct 2008, 19:43
amitdgr wrote:
amitdgr wrote:
OGM#113
In the fraction x/y, where x and y are positive integers, what is the value of y?
a. The least common denominator of x/y and 1/3 is 6
b. x=1

First we can rule out statement (2) as it gives us no info about y. So (2) is insufficient.

(1) LCM of denominators is given as 6. that is LCM of y and 3 is 6.

y can be 2 or 6. 2 and 3 have LCM 6. 3 and 6 have LCM 6.

Combined also not much help here.

If y can be 2 or 6, then x=3 or 1. If it is established that x =1, hten we know y=6?I'm confused sorry.

redbean, the question does not say that x/y=1/3.

The question only says that y and 3 have LCM of 6.

x can be any value, it wont affect our problem here. So the information that x=1 is not useful.

Sorry still don't get it!argggggggggggg. lcm is the same as lcd right?

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11 Oct 2008, 20:39
Sorry still don't get it!argggggggggggg. lcm is the same as lcd right?

LCD ? I think you got confused between LCM and GCD. I don't think we have concept of LCD.

OGM#113
In the fraction x/y, where x and y are positive integers, what is the value of y?
a. The least common denominator of x/y and 1/3 is 6
b. x=1

I am not able to explain it clearly We'll wait for some math guru to explain it better.
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12 Oct 2008, 05:48
LCD is least common denominator. How is it different from least common multiple and greatest common denominator?

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12 Oct 2008, 06:10
LCD is least common denominator. How is it different from least common multiple and greatest common denominator?

Oh ok yes the question is talking about LCD. it is just the LCM of the denominator part alone in a fraction. GCD is something totally different.

GCD / GCF / HCF all mean the same -----> http://www.helpwithfractions.com/greate ... actor.html

LCM -----> http://www.helpwithfractions.com/least- ... tiple.html

LCD -----> http://www.helpwithfractions.com/least- ... nator.html
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12 Oct 2008, 14:45
Wow talk about coincidence, I just did this practice test from OG Quant

OA is E

A: Y can be either 2 or 6, so Not Sufficient
B: Not Sufficient

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12 Oct 2008, 19:34
I got it! Thanks amit. There are two possible answers 2 and 6, even if we find x=1, it can still be 1/2 or 1/6. I was confused with LCD and LCM. Thanks

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12 Oct 2008, 20:19
I got it! Thanks amit. There are two possible answers 2 and 6, even if we find x=1, it can still be 1/2 or 1/6. I was confused with LCD and LCM. Thanks

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Re: OGM#113   [#permalink] 12 Oct 2008, 20:19
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