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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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New post 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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Re: OGM#113 [#permalink]

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New post 10 Oct 2008, 22:07
redbeanaddict 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.

Answer is E ??
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Re: OGM#113 [#permalink]

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New post 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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Re: OGM#113 [#permalink]

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New post 11 Oct 2008, 01:00
amitdgr wrote:
redbeanaddict 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.

Answer is E ??

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

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Re: OGM#113 [#permalink]

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New post 11 Oct 2008, 01:05
redbeanaddict wrote:
amitdgr wrote:
redbeanaddict 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.

Answer is E ??

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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Re: OGM#113 [#permalink]

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New post 11 Oct 2008, 02:25
amitdgr wrote:
redbeanaddict 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.

Answer is E ??

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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Re: OGM#113 [#permalink]

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New post 11 Oct 2008, 02:33
amitdgr wrote:
redbeanaddict 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.

Answer is E ??


redbeanaddict wrote:
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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Re: OGM#113 [#permalink]

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New post 11 Oct 2008, 19:43
amitdgr wrote:
amitdgr wrote:
redbeanaddict 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.

Answer is E ??


redbeanaddict wrote:
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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Re: OGM#113 [#permalink]

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New post 11 Oct 2008, 20:39
redbeanaddict wrote:
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.

redbeanaddict 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


I am not able to explain it clearly :( We'll wait for some math guru to explain it better.
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Re: OGM#113 [#permalink]

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New post 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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Re: OGM#113 [#permalink]

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New post 12 Oct 2008, 06:10
redbeanaddict wrote:
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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Re: OGM#113 [#permalink]

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New post 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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Re: OGM#113 [#permalink]

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New post 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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Re: OGM#113 [#permalink]

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New post 12 Oct 2008, 20:19
redbeanaddict wrote:
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


Please don't mention :) I am glad you got it :)
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Re: OGM#113   [#permalink] 12 Oct 2008, 20:19
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