Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 May 2017, 10:51

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Status: GMAT Preperation
Joined: 04 Feb 2010
Posts: 101
Concentration: Social Entrepreneurship, Social Entrepreneurship
GPA: 3
WE: Consulting (Insurance)
Followers: 2

Kudos [?]: 156 [0], given: 15

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

### Show Tags

30 Sep 2010, 00:49
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:47) correct 25% (00:48) wrong based on 28 sessions

### HideShow timer Statistics

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

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

My question if x and y are both positive, shouldnt x/y always be positive?
[Reveal] Spoiler: OA
Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1919
Concentration: General Management, Nonprofit
Followers: 466

Kudos [?]: 2058 [1] , given: 210

### Show Tags

30 Sep 2010, 00:57
1
KUDOS
vanidhar wrote:
If x and y are positive, is x/y greater than 1?

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

My question if x and y are both positive, shouldnt x/y always be positive?

To answer your question: Yes. $$\frac{x}{y}$$ will always be positive. But being positive could also mean numbers between 0 and 1.

Statement 1 says xy>1. NO information about $$\frac{x}{y}$$. Insufficient.

Statement 2:

x - y > 1

Divide by y on both sides

$$\frac{x}{y}$$ - 1 > $$\frac{1}{y}$$

$$\frac{x}{y}$$ > 1 + $$\frac{1}{y}$$

But. y is a positive integer so $$\frac{1}{y}$$ > 0 which means that $$\frac{x}{y}$$ > 1.

B.
Math Expert
Joined: 02 Sep 2009
Posts: 38989
Followers: 7748

Kudos [?]: 106456 [1] , given: 11626

### Show Tags

30 Sep 2010, 01:15
1
KUDOS
Expert's post
vanidhar wrote:
If x and y are positive, is x/y greater than 1?

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

My question if x and y are both positive, shouldnt x/y always be positive?

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.

As for your question: yes, if $$x$$ and $$y$$ are both positive (or both negative) then $$\frac{x}{y}>0$$.

Hope it helps.
_________________
SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 358 [0], given: 49

### Show Tags

30 Sep 2010, 10:14
[quote="vanidhar"]If x and y are positive, is x/y greater than 1?

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

x,y +ve , is x/y > 1 ie is x>y

from 1

insuff

from 2

suff

B
Senior Manager
Joined: 25 Feb 2010
Posts: 461
Followers: 4

Kudos [?]: 93 [0], given: 10

### Show Tags

30 Sep 2010, 15:08
Bunuel wrote:

(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.

Hope it helps.

Nice approach, I didn't went with this approach, but good to know.
_________________

GGG (Gym / GMAT / Girl) -- Be Serious

Its your duty to post OA afterwards; some one must be waiting for that...

Re: DS question   [#permalink] 30 Sep 2010, 15:08
Similar topics Replies Last post
Similar
Topics:
1 Is xy greater than 1, if x and y are both positive 2 24 Nov 2012, 08:09
2 If x and yare positive, is x/y greater than 1 ? 8 30 Jun 2016, 05:06
24 Is x-y+1 greater than x+y-1 ? 24 06 Dec 2016, 19:57
9 If x and y are positive, is x/y greater than 1? 8 26 Dec 2015, 16:24
Is x-y+1 greater than x+y-1? 1) x>0 2) y<0 10 04 Jun 2011, 19:21
Display posts from previous: Sort by