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

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If x and yare positive, is x/y greater than 1 ? [#permalink]  24 Sep 2012, 04:23
Expert's post
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Difficulty:

5% (low)

Question Stats:

81% (01:49) correct 19% (00:57) wrong based on 411 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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

(1) xy > 1
(2) x - y > 0

Practice Questions
Question: 50
Page: 279
Difficulty: 600

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Math Expert
Joined: 02 Sep 2009
Posts: 31339
Followers: 5367

Kudos [?]: 62583 [0], given: 9457

Re: If x and yare positive, is x/y greater than 1 ? [#permalink]  24 Sep 2012, 04:24
Expert's post
SOLUTION

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 $$x-y>0$$?

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

(2) x - y > 0. Directly answers the questions. Sufficient.

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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]  24 Sep 2012, 04:41
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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]  24 Sep 2012, 07:17
1
KUDOS
If x and yare positive, is x/y greater than 1 ?

(1) xy > 1
(2) x - y >O

(1) INFUFF: If x*y is greater than 1, it means that either X or Y is greater than two, the problem is that we do not know which one. X/Y could be 2/1 or 1/2
(2) SUFF (assuming integers) if z-y>0, x>y so necessarily x/y greater than one

IMO B
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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]  24 Sep 2012, 08:12
Bunuel wrote:

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

(1) xy > 1
(2) x - y >O

x > 0; y > 0
x/y > 1?
or x > 1? (safe multiply as both x and y are +ve)

(1)
xy > 1
There can be many values of x and y which can satisfy this equation.
eg. x= 2 and y = 0.75 is OK
x = .75 and y = 2 is also OK
Not sufficient

(2)
x - y > 0
=> x > y
Sufficient

hence B
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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]  28 Sep 2012, 04:52
Expert's post
SOLUTION

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 $$x-y>0$$?

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

(2) x - y > 0. Directly answers the questions. Sufficient.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: If x and yare positive, is x/y greater than 1 ?   [#permalink] 28 Sep 2012, 04:52
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