GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Mar 2019, 00:23

### 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

# If x and y are integers and x>0, is y>0? 1) 7x-2y>0

Author Message
Senior Manager
Joined: 17 Aug 2005
Posts: 369
Location: Boston, MA
If x and y are integers and x>0, is y>0? 1) 7x-2y>0  [#permalink]

### Show Tags

Updated on: 06 Feb 2007, 09:38
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 3 sessions

### HideShow timer Statistics

If x and y are integers and x>0, is y>0?

1) 7x-2y>0

2) -y<x

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

Originally posted by buckkitty on 05 Feb 2007, 18:43.
Last edited by buckkitty on 06 Feb 2007, 09:38, edited 1 time in total.
Senior Manager
Joined: 04 Jan 2006
Posts: 261
Re: DS - Is y>0?  [#permalink]

### Show Tags

Updated on: 05 Feb 2007, 19:06
buckkitty wrote:
If x and y are integers and x>0, is y>0?

1) 7x-2y>0

2) -y>x

Question: x and y are integers. x>0, y>0 ?

Info(1): 7x-2y>0
-2y>-7x
y<7x>x

Originally posted by devilmirror on 05 Feb 2007, 18:55.
Last edited by devilmirror on 05 Feb 2007, 19:06, edited 1 time in total.
Senior Manager
Joined: 04 Jan 2006
Posts: 261
Re: DS - Is y>0?  [#permalink]

### Show Tags

05 Feb 2007, 19:05
devilmirror wrote:
Question: x and y are integers. x > 0, y > 0 ?

Info(1): 7x-2y>0
-2y>-7x
y<7x>x
y<x>0 or -x<0
we can conclude that y<-x<0
or y<0>0? The answer is NO. SUFF

Could anyone fix the bugs about inequality signs?
I do not want to type the answer all over again.
SVP
Joined: 01 May 2006
Posts: 1768

### Show Tags

Updated on: 06 Feb 2007, 00:13
(B) as well

I prefer the approach of XY plan uses.

Stat1
7x-2y>0
<=> y <7>0 and y>0), in cadran III (x<0 and y<0>0 and y<0> 0, we can be either in cadran I or IV. Thus, y <0> 0 (Fig1).

INSUFF.

Stat2
-y> x
<=> y < -x

Thus, we are below the line y = -x in the XY plan. We can be either in cadran II (x<0>0), in cadran III (x<0 and y<0>0 and y<0> 0, we are necesserary in the cadran IV with y < 0 (Fig2).

SUFF.
Attachments

Fig1_Below 3.5 x X and X positive.GIF [ 3.07 KiB | Viewed 1671 times ]

Fig2_Below X and X positive.GIF [ 2.53 KiB | Viewed 1667 times ]

Originally posted by Fig on 06 Feb 2007, 00:05.
Last edited by Fig on 06 Feb 2007, 00:13, edited 1 time in total.
SVP
Joined: 01 May 2006
Posts: 1768
Re: DS - Is y>0?  [#permalink]

### Show Tags

06 Feb 2007, 00:08
devilmirror wrote:
devilmirror wrote:
Question: x and y are integers. x > 0, y > 0 ?

Info(1): 7x-2y>0
-2y>-7x
y<7x>x
y<x>0 or -x<0
we can conclude that y<-x<0
or y<0>0? The answer is NO. SUFF

Could anyone fix the bugs about inequality signs?
I do not want to type the answer all over again.

In your post, click the option "Disable HTML in this post". U should not have any problem after that
Retired Moderator
Joined: 05 Jul 2006
Posts: 1713

### Show Tags

06 Feb 2007, 04:06
1
If x and y are integers and x>0, is y>0?

1) 7x-2y>0

2) -y>x

7x>2y..........insuff

from two

-y>x ...........suff ( x is +ve thus sure -y is too , and y is -ve

the answer is NO Y IS NOT +VE
Senior Manager
Joined: 17 Aug 2005
Posts: 369
Location: Boston, MA

### Show Tags

06 Feb 2007, 07:44
Sorry folks, typo in the question.

stmt (2) should be: -y<x>0, is y>0?

1) 7x-2y>0

2) -y<x

Current Student
Joined: 28 Dec 2004
Posts: 3203
Location: New York City
Schools: Wharton'11 HBS'12

### Show Tags

06 Feb 2007, 09:36
B it is...

statment 1) easy...Insuff

statement 2) -y>x, we know x >0

therefore y has to be less than zero, has to be negative...suff
Intern
Joined: 13 Feb 2007
Posts: 7

### Show Tags

13 Feb 2007, 19:57
buckkitty wrote:
Sorry folks, typo in the question.

stmt (2) should be: -y<x>0, is y>0?

1) 7x-2y>0

2) -y<x

then the answer i guess is E.

y (<) 3.5*x ; insuff

-y< x ; y can also be negative where |y|<x or simply be positive

and from both 1 & 2 does not constrain y hence E. Simply draw the lines y = 3.5 x and y= -x and the area between them is the solution and in both cases Y is not bounded to the first quadrant. hence E.

hence both are inSuff
Senior Manager
Joined: 12 Mar 2006
Posts: 346
Schools: Kellogg School of Management

### Show Tags

13 Feb 2007, 22:40
stat1: 7x-2y>0

=> y y > x so if x>0 y is certainly > 0 so suff

B

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Non-Human User
Joined: 09 Sep 2013
Posts: 10147
Re: If x and y are integers and x>0, is y>0? 1) 7x-2y>0  [#permalink]

### Show Tags

10 Mar 2019, 17:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If x and y are integers and x>0, is y>0? 1) 7x-2y>0   [#permalink] 10 Mar 2019, 17:19
Display posts from previous: Sort by