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

It is currently 19 Sep 2018, 08:05

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

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: 617
If x and y are integers with y > 0, is x positive ?  [#permalink]

Show Tags

New post Updated on: 03 Aug 2018, 10:11
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:14) correct 27% (01:30) wrong based on 45 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|

Originally posted by push12345 on 21 Jul 2018, 01:13.
Last edited by Bunuel on 03 Aug 2018, 10:11, edited 2 times in total.
Edited the question.
RC Moderator
User avatar
D
Status: Perfecting myself for GMAT
Joined: 22 May 2017
Posts: 620
Concentration: Nonprofit
Schools: Haas '21
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, 01:35
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
_________________

If you like my post press kudos +1

New - RC Butler - 2 RC's everyday

Tag me in RC questions if you need help. Please provide your analysis of the question in the post along with the tag.

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6787
Re: If x and y are integers with y > 0, is x positive ?  [#permalink]

Show Tags

New post 21 Jul 2018, 02:45
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
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, 03:51
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, 03:55
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
Re: If x and y are integers with y > 0, is x positive ? &nbs [#permalink] 21 Jul 2018, 03:55
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  

Events & Promotions

PREV
NEXT


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®.