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

It is currently 16 Dec 2018, 12:22

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 16, 2018

     December 16, 2018

     03:00 PM EST

     04:00 PM EST

    Strategies and techniques for approaching featured GMAT topics
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

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

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

Hide Tags

Director
Director
avatar
P
Joined: 02 Oct 2017
Posts: 728
If x and y are integers with y > 0, is x positive ?  [#permalink]

Show Tags

New post Updated on: 03 Aug 2018, 09:11
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:11) correct 24% (01:30) wrong based on 49 sessions

HideShow timer Statistics

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


(1) |x| - y = 0

(2) |x - y| > |x + y|

_________________

Give kudos if you like the post


Originally posted by push12345 on 21 Jul 2018, 00:13.
Last edited by Bunuel on 03 Aug 2018, 09:11, edited 2 times in total.
Edited the question.
MBA Section Director
User avatar
V
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1491
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
Re: If x and y are integers with y > 0, is x positive ?  [#permalink]

Show Tags

New post 21 Jul 2018, 00:35
1
To find whether x is positive

Statement 1

|x| - y = 0

=> |x| = y

=> x can be either y or -y

=> x can be either positive or negative

Statement 1 is insufficient

Statement 2

|x-y|>|x+y|

=> \((x-y)^2 > (x+y)^2\)

=> \(x^2 + y^2 - 2xy > x^2 + y^2 + 2xy\)

=> \(-2xy > 2xy\)

=> \(-2x > 2x\) (since y>0)

=> -x > x

=> x is negative

Statement 2 is sufficient

Hence option B
_________________

New project wSTAT(which Schools To Apply To?)

GMATClub School Ambassador

B-School app with GRE

New - RC Butler - 2 RC's everyday

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7108
Re: If x and y are integers with y > 0, is x positive ?  [#permalink]

Show Tags

New post 21 Jul 2018, 01:45
push12345 wrote:
If x & y are integers with y>0, is x positive ?

i) |x|-y=0

ii)|x-y|>|x+y|


Give kudos if you like question



1) |X|-y=0...
|X|=y....
Since y>0, X can be y or -y hence either positive or negative but not 0
Insufficient

2) |x-y|>|x+y|
Now the equation should tell us that ..
subtraction will result in a higher value only if both the variables are opposite in SIGN
So x and y are opposite in sign ....
But y>0, so X<0...... sufficient

OR

Square both sides as both sides are positive..
\(x^2+y^2-2xy>x^2+y^2+2xy...........-2xy>2xy\)
2y>0, so -x>x....only possible if x <0
Sufficient

B
_________________

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

Intern
Intern
avatar
B
Joined: 15 Jun 2015
Posts: 5
Re: If x and y are integers with y > 0, is x positive ?  [#permalink]

Show Tags

New post 21 Jul 2018, 02:51
push12345 wrote:
If x and y are integers with y > 0, is x positive ?

(1) |x| - y = 0

(2) |x - y| > |x + y|
For statement 1: y>0, |X|=y and since y>0, X also should be greater than 0. Wouldn't that be sufficient?

Sent from my Moto G (5S) Plus using GMAT Club Forum mobile app
Intern
Intern
avatar
B
Joined: 11 Jul 2018
Posts: 13
Re: If x and y are integers with y > 0, is x positive ?  [#permalink]

Show Tags

New post 21 Jul 2018, 02:55
PamulaV wrote:
push12345 wrote:
If x and y are integers with y > 0, is x positive ?

(1) |x| - y = 0

(2) |x - y| > |x + y|
For statement 1: y>0, |X|=y and since y>0, X also should be greater than 0. Wouldn't that be sufficient?

Sent from my Moto G (5S) Plus using GMAT Club Forum mobile app
No, all it really tells you is that the modulus of x is a positive number. So you know the distance of the number from 0 on the number life, but no clue is given about the direction.

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
GMAT Club Bot
Re: If x and y are integers with y > 0, is x positive ? &nbs [#permalink] 21 Jul 2018, 02:55
Display posts from previous: Sort by

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

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


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®.