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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] New post 24 Sep 2012, 05:23
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86% (01:21) correct 13% (00:48) wrong based on 2 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

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Question: 50
Page: 279
Difficulty: 600


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

Answer: B.
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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. NEW!!!


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Re: If x and yare positive, is x/y greater than 1 ? [#permalink] New post 24 Sep 2012, 05:41
Answer is B
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Re: If x and yare positive, is x/y greater than 1 ? [#permalink] New post 24 Sep 2012, 08:17
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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] New post 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] New post 28 Sep 2012, 05:52
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.

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

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. NEW!!!


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Re: If x and yare positive, is x/y greater than 1 ?   [#permalink] 28 Sep 2012, 05:52
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