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If x, y, p, and q are positive, is x>=y? [#permalink]
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19 Jun 2010, 03:12
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If x, y, p, and q are positive, is x>=y? (1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\)
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Last edited by Bunuel on 16 Apr 2013, 03:36, edited 1 time in total.
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Re: need help [#permalink]
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19 Jun 2010, 03:33
chintzzz wrote: If x,y,p, and q are positive, is x>=y?
(1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\) First of all to format formulas mark and push [ m] button. 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). Answer: A.
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Re: need help [#permalink]
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13 Apr 2013, 12:57
Bunuel wrote: chintzzz wrote: If x,y,p, and q are positive, is x>=y?
(1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\) First of all to format formulas mark and push [ m] button. 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). Answer: A. Hi, the statement 1 is just telling us that x = y ...but its not giving ny info that if x>y...so its not sufficient so how can v mark the answer as A ...



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Re: need help [#permalink]
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13 Apr 2013, 13:08
Perhaps wrote: Hi,
the statement 1 is just telling us that x = y ...but its not giving ny info that if x>y...so its not sufficient so how can v mark the answer as A ... The question asks is \(x\geq{y}\)? If we know that x=y then we can answer YES to the question, its very simple. Let me know if it s clear
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Re: If x, y, p, and q are positive, is x>=y? [#permalink]
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13 Apr 2013, 13:35
when x >= y means x > y OR x = y and NOT x > y AND x = y (A impossible scenario) //kudos, if the above explanation is good
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Re: need help [#permalink]
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07 Sep 2013, 10:02
Bunuel wrote: chintzzz wrote: If x,y,p, and q are positive, is x>=y?
(1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\) First of all to format formulas mark and push [ m] button. 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). Answer: A. from A we get x=y only , but what abut x > y ? Answer should be E



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Re: need help [#permalink]
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07 Sep 2013, 10:07
ygdrasil24 wrote: from A we get x=y only , but what abut x > y ? Answer should be E
No, the OA is correct . \(x\geq{y}\) means x=y OR x>y. Any value of x satisfying EITHER of these 2 conditions works.
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Re: need help [#permalink]
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07 Sep 2013, 10:08
ygdrasil24 wrote: Bunuel wrote: chintzzz wrote: If x,y,p, and q are positive, is x>=y?
(1) \(\frac{px}{qy}=\frac{p}{q}\) (2) \(xy=p\) First of all to format formulas mark and push [ m] button. 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). Answer: A. from A we get x=y only , but what abut x > y ? Answer should be E The answer is A, not E. The question asks: is x greater than or equal to y. (1) says that x IS equal to y, so we have an YES answer to the question.
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Re: need help [#permalink]
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07 Sep 2013, 11:05
First of all to format formulas mark and push [ m] button.
If x, y, p, and q are positive, is x>=y?
The question asks: is x greater than or equal to y. (1) says that x IS equal to y, so we have an YES answer to the question.[/quote][/quote] OK , so does it mean its an OR condition and not AND ? Is that a general rule when >eq or <eq occurs?



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Re: need help [#permalink]
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07 Sep 2013, 11:08



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Re: need help [#permalink]
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07 Sep 2013, 12:14
I used to think in DS , we need to suffice to all conditions, so asked for AND conditiom



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Re: need help [#permalink]
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Re: need help [#permalink]
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07 Sep 2013, 22:20
Bunuel wrote: ygdrasil24 wrote: I used to think in DS , we need to suffice to all conditions, so asked for AND conditiom Actually it has nothing to do with DS. \(\geq\) sign in mathematics translates to greater than or equal to. Also, how can x be greater than AND equal to y? You have a point but if x \(\geq\) y, and we have a solution x = y, it obviously does not mean x has to be gretaer than y, or if x is \(\geq\) y , it does not mean x = y, I was of the view that x should fit in the equality i.e \(\geq\)



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Re: need help [#permalink]
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08 Sep 2013, 06:02
ygdrasil24 wrote: Bunuel wrote: ygdrasil24 wrote: I used to think in DS , we need to suffice to all conditions, so asked for AND conditiom Actually it has nothing to do with DS. \(\geq\) sign in mathematics translates to greater than or equal to. Also, how can x be greater than AND equal to y? You have a point but if x \(\geq\) y, and we have a solution x = y, it obviously does not mean x has to be gretaer than y, or if x is \(\geq\) y , it does not mean x = y, I was of the view that x should fit in the equality i.e \(\geq\) You are missing a point. If x=y, it's OK to write: \(x\geq{y}\) > \(2\geq{2}\).
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Re: If x, y, p, and q are positive, is x>=y? [#permalink]
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17 Sep 2016, 06:33
A is correct. Here's why:
(1) (px)/(qy) = (p/q) [q/p][(px)/(qy)] = [(p/q)][q/p] > x=y (relationship has been established)
SUFFICIENT
(2) xy = p
NOT SUFFICIENT  we don't know anything about the relationship between x and y



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Re: If x, y, p, and q are positive, is x>=y? [#permalink]
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27 Nov 2017, 12:42
Hi All, We're told that X, Y, P and Q are POSITIVE. We're asked if X is >= to Y. This is a YES/NO question. We can solve it with a mix of arithmetic and TESTing VALUES. 1) (P)(X)/(Q)(Y) = P/Q If we crossmultiply this fraction, we get... (P)(X)(Q) = (P)(Q)(Y) Since we know that all of the variables are POSITIVE, we can 'cancel out' the P and Q, which leaves us... X = Y Thus, the answer to the question is ALWAYS YES. Fact 1 is SUFFICIENT 2) (X)(Y) = P With this Fact, we have no idea how X and Y relate to one another. For example: IF... X=1, Y=2, P=2 then the answer to the question is NO. IF... X=1, Y=1, P=1 then the answer to the question is YES. Fact 2 is INSUFFICIENT Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: If x, y, p, and q are positive, is x>=y?
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