NEW HERE? LEARN MORE
closeclose
It is currently 09 Dec 2023, 10:14
Register
GMAT Classic Tests
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

Is x > 0 ? (1) xy > 0 (2) x + y > 0

8 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
Bull78
Manager
Manager
Joined: 06 Oct 2009
Posts: 56
Location: Mexico
Concentration: Entrepreneurship, Finance
Schools: Columbia EMBA"19 (A)
GPA: 3.85
WE:Sales (Commercial Banking)
Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink] New post  10 Aug 2010, 13:58
5
Bookmarks
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

80% (00:54) correct 20% (00:57) wrong based on 292 sessions

Hide Show timer Statistics

Is x > 0 ?

(1) xy > 0
(2) x + y > 0
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.
User avatar
L
IanStewart
GMAT Tutor
Joined: 24 Jun 2008
Posts: 4131
Re: Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink] New post  10 Aug 2010, 14:04
1
Kudos
3
Bookmarks
Expert Reply
Bull78 wrote:
Is \(X > 0\) ?

1) \(xy>0\)

2) \(x+y>0\)


From Statement 1, x and y have the same sign. Not sufficient, since both could be negative.

From Statement 2, x and y could certainly both be positive, but it might be that x = -1 and y = 2, say. Not sufficient.

Taken together, we know from statement 1 that x and y share the same sign. Could they both be negative? No, because if they were, x+y would need to be negative, and that's not the case, as we learn from statement 2. So both x and y need to be positive, and the answer is C.
_________________
http://www.ianstewartgmat.com
Signature Read More
User avatar
ezhilkumarank
Senior Manager
Senior Manager
Joined: 24 Jun 2010
Status:Time to step up the tempo
Posts: 273
Location: Milky way
Schools:ISB, Tepper - CMU, Chicago Booth, LSB
Re: Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink] New post  11 Aug 2010, 18:10
Bull78 wrote:
Is \(X > 0\) ?

1) \(xy>0\)

2) \(x+y>0\)


Statement A:

xy > 0

(x, y) could be (-ve, -ve) or (+ve, +ve). Since there are two scenarios, we can't say whether x is +ve.

Insufficient.

Statement B:

x + y > 0

(x,y) can be (3, 4) or (7, -6) or (-8, 25). Hence cannot say x is +ve.

Insufficient.

Combining Statement A & B, xy > 0 & x+y > 0.
(x, y) could be (+ve, +ve) and not (-ve, -ve).
(x,y) can be (3, 4) and not (7, -6) or (-8, 25).


Hence statement A and B can be used together and not alone to answer this question.

Answer : C.
User avatar
B
NoHalfMeasures
Retired Moderator
Joined: 29 Oct 2013
Posts: 223
Concentration: Finance
GPA: 3.7
WE:Corporate Finance (Retail Banking)
GMAT ToolKit User
Re: Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink] New post  12 Jan 2016, 01:18
is there an algebraic solution to this problem? thanks
avatar
B
Mamsi
Intern
Intern
Joined: 17 Jul 2017
Posts: 4
Location: Cote d'Ivoire
Schools: Wharton '22 Sloan '23
GPA: 4
Re: Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink] New post  29 Nov 2019, 04:48
Anyone could give more explaination? Why not E?
User avatar
P
LevanKhukhunashvili
Senior Manager
Senior Manager
Joined: 13 Feb 2018
Posts: 387
GMAT 1: 640 Q48 V28
Re: Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink] New post  29 Nov 2019, 04:59
1
Kudos
Mamsi wrote:
Anyone could give more explaination? Why not E?



1 stm just tels us that x and y have the same +- nature and none of them is 0
2 stm tells us that x>-y

From the both statements we have got
If x is positive y is positive and satisfy the second statement x>-y
If x is negative then y is negative too, with this we cant satisfy the second statement negative number cant be more than any positive number

So only option one (when x and y are positive) is left

Hope it's clear
avatar
B
Mamsi
Intern
Intern
Joined: 17 Jul 2017
Posts: 4
Location: Cote d'Ivoire
Schools: Wharton '22 Sloan '23
GPA: 4
Re: Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink] New post  29 Nov 2019, 05:03
LevanKhukhunashvili wrote:
Mamsi wrote:
Anyone could give more explaination? Why not E?



1 stm just tels us that x and y have the same +- nature and none of them is 0
2 stm tells us that x>-y

From the both statements we have got
If x is positive y is positive and satisfy the second statement x>-y
If x is negative then y is negative too, with this we cant satisfy the second statement negative number cant be more than any positive number

So only option one (when x and y are positive) is left

Hope it's clear



It's good for me now! Thank
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 30863
Re: Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink] New post  23 Aug 2023, 12:20
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.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: Is x > 0 ? (1) xy > 0 (2) x + y > 0 [#permalink]
23 Aug 2023, 12:20
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
90196 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions