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

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If x, y, p, and q are positive, is x>=y? [#permalink] New post 19 Jun 2010, 02:12
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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Apr 2013, 02:36, edited 1 time in total.
Edited the question.
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Re: need help [#permalink] New post 19 Jun 2010, 02:13
sorry.. (1)px/qy=p/q
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Re: need help [#permalink] New post 19 Jun 2010, 02:33
Expert's post
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] New post 13 Apr 2013, 11:57
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] New post 13 Apr 2013, 12:08
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] New post 13 Apr 2013, 12:35
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] New post 07 Sep 2013, 09:02
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] New post 07 Sep 2013, 09:07
Expert's post
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] New post 07 Sep 2013, 09:08
Expert's post
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] New post 07 Sep 2013, 10:05
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] New post 07 Sep 2013, 10:08
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Re: need help [#permalink] New post 07 Sep 2013, 11:14
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] New post 07 Sep 2013, 11:16
Expert's post
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?
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Re: need help [#permalink] New post 07 Sep 2013, 21:20
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] New post 08 Sep 2013, 05:02
Expert's post
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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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: need help   [#permalink] 08 Sep 2013, 05:02
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