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

It is currently 24 Sep 2018, 06:36

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.

Close

Request Expert Reply

Confirm Cancel

Is x+y>0?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
G
Joined: 18 Jan 2017
Posts: 81
Location: India
Concentration: Finance, Economics
GMAT 1: 700 Q50 V34
GMAT ToolKit User
Is x+y>0?  [#permalink]

Show Tags

New post 01 May 2017, 00:26
5
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

60% (01:07) correct 40% (01:12) wrong based on 187 sessions

HideShow timer Statistics

Is x+y>0?

(1) |x| + y<0
(2) xy>0
Intern
Intern
avatar
B
Joined: 08 Jan 2017
Posts: 8
Location: India
Concentration: General Management, Technology
GMAT 1: 750 Q51 V40
GPA: 3.5
WE: Analyst (Retail)
Re: Is x+y>0?  [#permalink]

Show Tags

New post 01 May 2017, 00:48
2
Tan2017 wrote:
Is x+y>0?
(1) |x| + y<0
(2) xy>0


Statement 1 :
|x| + y < 0
This means y is a negative quantity of greater magnitude than x.
Therefore,
x+y will always be less than 0

Statement 1 is sufficient

Statement 2 :
xy > 0
This means that x and y have the same signs, positive or negative
If they are positive than the statement is true, if negative then the statement is false

Therefore, Statement 2 is insufficient

Hence Answer is B
Manager
Manager
avatar
S
Joined: 25 Apr 2016
Posts: 60
CAT Tests
Re: Is x+y>0?  [#permalink]

Show Tags

New post 01 May 2017, 00:57
statement 1st implies that mod(x) +y<0 => y has to be negative and magnitude of y should be greater than the magnitude of x and consequently, suggest that x+y<0 => strict no, an unique answer and hence sufficient. Whereas, statement 2nd could infer a combination of values for x and y and that makes its case insufficient. OPTION->A
Manhattan Prep Instructor
User avatar
G
Joined: 04 Dec 2015
Posts: 596
GMAT 1: 790 Q51 V49
GRE 1: Q170 V170
Re: Is x+y>0?  [#permalink]

Show Tags

New post 02 May 2017, 08:51
Tan2017 wrote:
Is x+y>0?

(1) |x| + y<0
(2) xy>0


For problems like this, I'd recommend doing something that's like case testing, but doesn't use actual numbers. It looks like this:

(1) If |x| + y < 0, then y must be a 'big negative' number. x will be either a 'small positive' or 'small negative' number. In both of those cases, the sum of x and y is negative. Sufficient.

(2) If x is a 'big negative' and y is a 'small positive', the answer to the question would be 'no'. If x is a 'small negative' and y is a 'big positive', the answer to the question would be 'yes'. Since you can get two distinct answers using this statement, it's Insufficient.

The thing to notice is that we didn't try specific numbers, since that can be time-consuming. Instead, we tried different types of numbers - 'big' and 'small', 'negative' and 'positive'.
_________________

Image

Chelsey Cooley | Manhattan Prep Instructor | Seattle and Online

My upcoming GMAT trial classes | GMAT blog archive

Manager
Manager
User avatar
S
Joined: 24 Oct 2016
Posts: 154
GMAT 1: 670 Q46 V36
Is x+y>0?  [#permalink]

Show Tags

New post 27 Jun 2018, 17:39
himanshuv wrote:
Tan2017 wrote:
Is x+y>0?
(1) |x| + y<0
(2) xy>0


Statement 1 :
|x| + y < 0
This means y is a negative quantity of greater magnitude than x.
Therefore,
x+y will always be less than 0

Statement 1 is sufficient

Statement 2 :
xy > 0
This means that x and y have the same signs, positive or negative
If they are positive than the statement is true, if negative then the statement is false

Therefore, Statement 2 is insufficient

Hence Answer is B



Bunuel abhimahna I was trying a different method from the method mentioned above. I was using the standard approach to modulus (3-step approach mentioned in GC Math Book) in which we consider the value of x<0 and x>=0. But that approach doesn't seem to give the same answer. Could you please tell me what I might be doing wrong here? Thanks!

x+y>0?

Simplifying the above equation gives: y>-x?

Case 1: If x<0
(-x)+y<0 => y<x [Doesn't match the required equation]
Case 2: If x>=0
(x)+y<0 => y<-x [Doesn't match the required equation]

Hence Statement 1 is Not Sufficient.
_________________

Verb Tenses Simplified

If you found my post useful KUDOS are much appreciated.

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6804
Re: Is x+y>0?  [#permalink]

Show Tags

New post 27 Jun 2018, 20:05
1
dabaobao wrote:
himanshuv wrote:
Tan2017 wrote:
Is x+y>0?
(1) |x| + y<0
(2) xy>0


Statement 1 :
|x| + y < 0
This means y is a negative quantity of greater magnitude than x.
Therefore,
x+y will always be less than 0

Statement 1 is sufficient

Statement 2 :
xy > 0
This means that x and y have the same signs, positive or negative
If they are positive than the statement is true, if negative then the statement is false

Therefore, Statement 2 is insufficient

Hence Answer is B



Bunuel abhimahna I was trying a different method from the method mentioned above. I was using the standard approach to modulus (3-step approach mentioned in GC Math Book) in which we consider the value of x<0 and x>=0. But that approach doesn't seem to give the same answer. Could you please tell me what I might be doing wrong here? Thanks!

x+y>0?

Simplifying the above equation gives: y>-x?

Case 1: If x<0
(-x)+y<0 => y<x [Doesn't match the required equation]
Case 2: If x>=0
(x)+y<0 => y<-x [Doesn't match the required equation]

Hence Statement 1 is Not Sufficient.


Hi..
Statement I..
Case I ..
X<0 and then you get y<X..
So y<X<0
Both y and X are NEGATIVE so they cannot add to a POSITIVE value.. sufficient to say x+y>0 is wrong
Case II
X>0 and then you got X+y<0..
Straight way your answer for X+y>0 is NO

Hence irrespective of value of x, ans is always NO
Sufficient
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: Is x+y>0? &nbs [#permalink] 27 Jun 2018, 20:05
Display posts from previous: Sort by

Is x+y>0?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.