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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]

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New post 24 Sep 2012, 05:23
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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


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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

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

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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]

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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]

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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.
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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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


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

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New post 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
x-y >0
ofcourse x > y that is why x-y 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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New post 14 May 2016, 07:35
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Bunuel wrote:
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


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

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New post 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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Re: If x and yare positive, is x/y greater than 1 ?   [#permalink] 15 Aug 2017, 23:12
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