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# If x and y are positive, is x/y greater than 1?

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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) x-y > 1
[Reveal] Spoiler: OA

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Re: If x and y are integers, is x/y greater than 1 ? [#permalink]

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29 Apr 2012, 05:15
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monir6000 wrote:
If x and y are integers, is x/y greater than 1 ?

(1) xy > 1
(2) x – y > 0

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 $$x-y>0$$?

(1) $$xy>1$$ --> product of two numbers is more than one we can't say which one is greater. Not sufficient.

(2) $$x-y>1$$ --> $$x>y+1$$ --> as $$x$$ is more than $$y$$ plus 1 then it's obviously more than just $$y$$ alone: $$x>y$$. Sufficient.
Or: as $$x-y>1$$ then $$x-y$$ is obviously more than zero --> $$x-y>1>0$$. Sufficient.

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Re: If x and y are integers, is x/y greater than 1 ? [#permalink]

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22 Dec 2012, 05:29
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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

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 $$x-y>0$$?

(1) $$xy>1$$ --> product of two numbers is more than one we can't say which one is greater. Not sufficient.

(2) $$x-y>1$$ --> $$x>y+1$$ --> as $$x$$ is more than $$y$$ plus 1 then it's obviously more than just $$y$$ alone: $$x>y$$. Sufficient.
Or: as $$x-y>1$$ then $$x-y$$ is obviously more than zero --> $$x-y>1>0$$. Sufficient.

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 $$x-y>0$$ not $$x-y>1$$

The question posted by monir6000 has typos. Again:

If x and y are positive, is x/y greater than 1?
(1) xy>1
(2) x-y>1
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Re: If x and y are ingeger, is x/y greater than 1 ? [#permalink]

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28 Apr 2012, 22:04
1. xy=1 says nothing about which is greater, x or y.
So insufficient.
2. x-y>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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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 integers, 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

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 $$x-y>0$$?

(1) $$xy>1$$ --> product of two numbers is more than one we can't say which one is greater. Not sufficient.

(2) $$x-y>1$$ --> $$x>y+1$$ --> as $$x$$ is more than $$y$$ plus 1 then it's obviously more than just $$y$$ alone: $$x>y$$. Sufficient.
Or: as $$x-y>1$$ then $$x-y$$ is obviously more than zero --> $$x-y>1>0$$. Sufficient.

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 $$x-y>0$$ not $$x-y>1$$
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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) x-y>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
omerqureshi wrote:
Referring to the same question.
1) The statement is insufficient without a doubt
2) x-y>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?

The stem says: if x and y are positive...
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Re: If x and y are positive, is x/y greater than 1? [#permalink]

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26 Dec 2015, 16:24
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Re: If x and y are positive, is x/y greater than 1?   [#permalink] 26 Dec 2015, 16:24
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