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If x and y are positive, is x/y greater than 1? [#permalink]
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30 Sep 2010, 00:49
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If x and y are positive, is x/y greater than 1? (1) xy > 1 (2) xy > 1 My question if x and y are both positive, shouldnt x/y always be positive? OPEN DISCUSSION OF THIS QUESTION IS HERE: ifxandyarepositiveisxygreaterthan139480.html== Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.
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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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30 Sep 2010, 00:57
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vanidhar wrote: If x and y are positive, is x/y greater than 1?
1)xy > 1 2)xy > 1
the official answer is B
My question if x and y are both positive, shouldnt x/y always be positive? To answer your question: Yes. \(\frac{x}{y}\) will always be positive. But being positive could also mean numbers between 0 and 1. To answer the question: Statement 1 says xy>1. NO information about \(\frac{x}{y}\). Insufficient. Statement 2: x  y > 1 Divide by y on both sides \(\frac{x}{y}\)  1 > \(\frac{1}{y}\) \(\frac{x}{y}\) > 1 + \(\frac{1}{y}\) But. y is a positive integer so \(\frac{1}{y}\) > 0 which means that \(\frac{x}{y}\) > 1. B.



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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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30 Sep 2010, 01:15
vanidhar wrote: If x and y are positive, is x/y greater than 1?
1)xy > 1 2)xy > 1
the official answer is B
My question if x and y are both positive, shouldnt x/y always be positive? Is \(\frac{x}{y}>1\)? > as given that \(y\) is positive we can safely multiply boith parts of inequality by it > so the question becomes "is \(x>y\)?" OR: is \(xy>0\)? (1) \(xy>1\) > product of two numbers is more than one we can't say which one is greater. Not sufficient. (2) \(xy>1\) > \(x>y+1\) > as \(x\) is more than \(y\) plus 1 then it's obviously more than just \(y\) alone: \(x>y\). Sufficient. Or: as \(xy>1\) then \(xy\) is obviously more than zero > \(xy>1>0\). Sufficient. Answer: B. As for your question: yes, if \(x\) and \(y\) are both positive (or both negative) then \(\frac{x}{y}>0\). Hope it helps.
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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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30 Sep 2010, 10:14
[quote="vanidhar"]If x and y are positive, is x/y greater than 1?
1)xy > 1 2)xy > 1
x,y +ve , is x/y > 1 ie is x>y
from 1
insuff
from 2
suff
B



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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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30 Sep 2010, 15:08
Bunuel wrote: (2) \(xy>1\) > \(x>y+1\) > as \(x\) is more than \(y\) plus 1 then it's obviously more than just \(y\) alone: \(x>y\). Sufficient.
Hope it helps.
Nice approach, I didn't went with this approach, but good to know.
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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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28 Apr 2012, 21:46
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If x and y are positive, is x/y greater than 1? (1) xy > 1 (2) xy > 1
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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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28 Apr 2012, 22:04
C is the answer. 1. xy=1 says nothing about which is greater, x or y. So insufficient. 2. xy>O i.e. X>Y So if x and y are integars so x/y >1 but if x is negative or y is negative.? It can be less than 1 also. So Insufficient. 1+2 X and y are of same sign by xy>1 and x>y so sufficient.
C is right.
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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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29 Apr 2012, 05:09
If x and y are positive, is x/Y greater than 1 ? (1) xy > 1 (2) x – y > 0



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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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29 Apr 2012, 05:15



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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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21 Dec 2012, 19:54
Bunuel wrote: monir6000 wrote: If x and y are integers, is x/y greater than 1 ?
(1) xy > 1 (2) x – y > 0 ORIGINAL QUESTION READS: If x and y are positive, is x/y greater than 1?Is \(\frac{x}{y}>1\)? > as given that \(y\) is positive we can safely multiply boith parts of inequality by it > so the question becomes "is \(x>y\)?" OR: is \(xy>0\)? (1) \(xy>1\) > product of two numbers is more than one we can't say which one is greater. Not sufficient. (2) \(xy>1\) > \(x>y+1\) > as \(x\) is more than \(y\) plus 1 then it's obviously more than just \(y\) alone: \(x>y\). Sufficient. Or: as \(xy>1\) then \(xy\) is obviously more than zero > \(xy>1>0\). Sufficient. Answer: B. Slight correction, even though your answer and your reasoning are correct, is that your reasoning for 2 does not address the question mentioned  again, it's still correct, but want to make sure it talks about the question. It should be \(xy>0\) not \(xy>1\)
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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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22 Dec 2012, 05:29
megafan wrote: Bunuel wrote: monir6000 wrote: If x and y are integers, is x/y greater than 1 ?
(1) xy > 1 (2) x – y > 0 ORIGINAL QUESTION READS: If x and y are positive, is x/y greater than 1?Is \(\frac{x}{y}>1\)? > as given that \(y\) is positive we can safely multiply boith parts of inequality by it > so the question becomes "is \(x>y\)?" OR: is \(xy>0\)? (1) \(xy>1\) > product of two numbers is more than one we can't say which one is greater. Not sufficient. (2) \(xy>1\) > \(x>y+1\) > as \(x\) is more than \(y\) plus 1 then it's obviously more than just \(y\) alone: \(x>y\). Sufficient. Or: as \(xy>1\) then \(xy\) is obviously more than zero > \(xy>1>0\). Sufficient. Answer: B. Slight correction, even though your answer and your reasoning are correct, is that your reasoning for 2 does not address the question mentioned  again, it's still correct, but want to make sure it talks about the question. It should be \(xy>0\) not \(xy>1\) The question posted by monir6000 has typos. Again: ORIGINAL QUESTION READS:If x and y are positive, is x/y greater than 1? (1) xy>1 (2) xy>1
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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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17 Aug 2014, 21:14
Referring to the same question. 1) The statement is insufficient without a doubt 2) xy>0, in case x is 7 and y is 3. But if y is 3, then the solution will be 7(3)=10 which is greater than 10.
But in case y is negative, then x/y, will not be greater than 1.
Need some help here  Am i missing something?



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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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18 Aug 2014, 02:58



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Re: If x and y are positive, is x/y greater than 1? [#permalink]
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15 Aug 2017, 09:43
If x and yare positive, is x/y greater than 1 ?Is \(\frac{x}{y}>1\)? > as given that \(y\) is positive we can safely multiply both parts of the inequality by it > so the question becomes "is \(x>y\)?" OR: is \(xy>0\)? (1) xy > 1 > product of two numbers is more than one we can't say which one is greater. Not sufficient. (2) x  y > 0. Directly answers the questions. Sufficient. Answer: B. OPEN DISCUSSION OF THIS QUESTION IS HERE: ifxandyarepositiveisxygreaterthan139480.html== Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.
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