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If x and yare positive, is x/y greater than 1 ? [#permalink]
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24 Sep 2012, 05:23
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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]
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24 Sep 2012, 05:24



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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]
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24 Sep 2012, 08:17
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 zy>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]
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24 Sep 2012, 09:12
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]
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28 Sep 2012, 05:52



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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]
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06 May 2016, 01:27
good thing about this question is we are given that x and y are positive. is x/y >1 ? since y is positive , we can multiply the inequality both side with y . now the question changes to y * x/y > y => is x >y ?
from stat 1 xy > 1 , well in this case x = 2 , y = 2 or x= 2 and y = 1 (both satisfies stat. 1 ) which does not give us x>y insufficient
from stat 2 xy >0 ofcourse x > y that is why xy is greater than 0. correct option  B.



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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]
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14 May 2016, 07:35
Bunuel wrote: Solution: We are asked is x/y > 1? Since x and y are positive we can multiply both sides of our inequality by y to obtain: Is x > y? Statement One Alone:xy > 1 Knowing that the product of xy is greater than 1 does not allow us to determine whether x is greater than y. For example, if x = 2 and y = 1, then x > y, but if x = 1 and y = 2, then x < y. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D. Statement Two Alone:x – y > 0 We can add y to both sides of the inequality to obtain: x > y Statement two is sufficient to answer the question. The answer is B.
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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]
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30 Jun 2016, 05:06
(1) is not sufficient, because it is possible that x=1, y=2. So, while xy>1, but x/y <1.
On the other hand, it is possible that x=2, y=1. So, while xy>1, but x/y >1.
(2) is sufficient because it tells that x>y. Since the question mentions that x and y are positive, then it has to be the case that x/y>1.
B is the answer.



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Re: If x and yare positive, is x/y greater than 1 ? [#permalink]
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15 Aug 2017, 23:12
Bunuel wrote: If x and y are positive, is x/y greater than 1 ?
(1) xy > 1 (2) x  y > 0
(2) x  y > 0 x > y.......... divide by y (No change in sign) x/y > 1 Sufficient (1) xy > 1 Let x = 2 & y= 1.......Answer Yes Let x = 1 & y= 2.......Answer NO Insufficient Answer: B




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