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# If x, y, p, and q are positive, is x>=y ?

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Manager
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If x, y, p, and q are positive, is x>=y ? [#permalink]

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21 Dec 2009, 12:58
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Difficulty:

5% (low)

Question Stats:

88% (01:42) correct 12% (01:06) wrong based on 82 sessions

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If x, y, p, and q are positive, is x>=y ?

(1) $$\frac{px}{qy}=\frac{p}{q}$$

(2) $$xy=p$$
[Reveal] Spoiler: OA

Last edited by Bunuel on 07 Apr 2012, 11:49, edited 1 time in total.
Edited the question and added the OA
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Re: paper test 37 section 6 q 8 [#permalink]

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21 Dec 2009, 15:55
[strike]OA? D
Either is sufficient to answer that X is greater or equal to Y; while all being positive.[/strike]

Agreed; A
B is insufficient.

BTW about the approach towards such question; one such is to be on GMAT Club...!
MGMAT inequalities is supposed to be...

Last edited by DestinyChild on 21 Dec 2009, 16:04, edited 2 times in total.
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Re: paper test 37 section 6 q 8 [#permalink]

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21 Dec 2009, 15:57

pqx = pqy
implies
x = y

xy=p Insufficient
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A kudos would greatly help

Tuhin

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Re: how to aproach such questions [#permalink]

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07 Apr 2012, 11:35
Guys I am getting Answer as E

1) x=y but we dont know whether x>y or not
2) ns

1+2)still we dont know whether x>y
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Re: how to aproach such questions [#permalink]

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07 Apr 2012, 11:47
1
KUDOS
Expert's post
GMATD11 wrote:
Guys I am getting Answer as E

1) x=y but we dont know whether x>y or not
2) ns

1+2)still we dont know whether x>y

If x, y, p, and q are positive, is x>=y?

Question: is $$x$$ more than or equal to $$y$$ (is $$x\geq{y}$$)?

(1) $$\frac{px}{qy}=\frac{p}{q}$$ --> reduce by $$\frac{p}{q}$$ --> $$\frac{x}{y}=1$$ --> $$x=y$$, so we can answer yes to the question: $$x$$ is equal to $$y$$. Sufficient.

(2) $$xy=p$$ --> Clearly not sufficient (if $$x$$, $$y$$ and $$p$$ equal to 1, 2, and 2 respectively then the answer is NO but if they equal to 2, 1 and 2 then the answer is YES).

Hope it's clear.
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Re: how to aproach such questions   [#permalink] 07 Apr 2012, 11:47
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