Last visit was: 20 Nov 2025, 03:23 It is currently 20 Nov 2025, 03:23
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Nov 2025
Posts: 105,408
Own Kudos:
778,459
 [2]
Given Kudos: 99,987
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,408
Kudos: 778,459
 [2]
Is |x| + |y| = 0 (1) x + 2|y| = 0 (2) y + 2|x| = 0 05 Mar 2018, 09:45
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

55% (01:47) correct 45% (01:35) wrong based on 139 sessions

History

Date
Time
Result
Not Attempted Yet
Is |x| + |y| = 0

(1) x + 2|y| = 0

(2) y + 2|x| = 0
ShowHide Answer
Official Answer
C
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 15 Nov 2025
Posts: 11,238
Own Kudos:
43,707
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,238
Kudos: 43,707
 [1]
Is |x| + |y| = 0 (1) x + 2|y| = 0 (2) y + 2|x| = 0 05 Mar 2018, 09:59
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
Is |x| + |y| = 0

(1) x + 2|y| = 0

(2) y + 2|x| = 0
Show more


|x| + |y| = 0 is possible only when x =y =0

(1) x + 2|y| = 0
both x and y could be 0
or x= -2|y|, so say y =1 , x = -1
insuff

(2) y + 2|x| = 0
SAME as statement I above
insuff

combined..
x+y+2|x|+2|y|=0
x=-2|y| not possible as then y cannot equal -2|x|
so x=y=0..
ans is YES for "is |x|+|y|=0?"
suff
User avatar
Raksat
User avatar
Joined: 20 Feb 2017
Last visit: 13 Feb 2025
Posts: 151
Own Kudos:
524
Given Kudos: 489
Location: India
Concentration: Operations, Strategy
WE:Engineering (Other)
Posts: 151
Kudos: 524
Is |x| + |y| = 0 (1) x + 2|y| = 0 (2) y + 2|x| = 0 05 Mar 2018, 10:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is |x| + |y| = 0
only possible when x=0 and y =0
statement 1
x + 2|y| = 0
possible values :
x=-2, y= 1 (No |x| + |y| is not equal to zero )
x=0 y =0 (yes |x| + |y| is equal to zero )
Not sufficient
statement 2
same as in statement 1
not sufficient
combining
x=0, y=0 (sufficient )
hence answer should be C
User avatar
MikeScarn
User avatar
Current Student
Joined: 04 Sep 2017
Last visit: 01 Jun 2025
Posts: 275
Own Kudos:
1,280
Given Kudos: 227
Location: United States (IL)
Concentration: Technology, Leadership
Schools: Tuck '24 (WA) Harvard '24 (D) Kellogg '24 (WA) Wharton '24 (D) Haas '24 (D) Sloan '24 (D) Fuqua '24 (D) Booth '24 (M) Yale '24 (A$)
GMAT 1: 690 Q44 V41
GMAT 2: 730 Q50 V38
GPA: 3.62
WE:Sales (Computer Software)
Schools: Tuck '24 (WA) Harvard '24 (D) Kellogg '24 (WA) Wharton '24 (D) Haas '24 (D) Sloan '24 (D) Fuqua '24 (D) Booth '24 (M) Yale '24 (A$)
GMAT 2: 730 Q50 V38
Posts: 275
Kudos: 1,280
Is |x| + |y| = 0 (1) x + 2|y| = 0 (2) y + 2|x| = 0 12 Mar 2018, 04:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Is |x| + |y| = 0

(1) x + 2|y| = 0

(2) y + 2|x| = 0
Show more

Is |x| + |y| = 0 ?
First, think of possible scenarios where this is true. Due to Modulus, the only possibility is if x=0 and y=0. Remember this when approaching Statement 1 and 2.

(1) x + 2|y| = 0
If x=0 and y=0, then our answer is Yes.
If we make x=-2 and y=1, then this statement will satisfy the equation, however our answer to the question will now be No.
Yes+No=NF

(2) y + 2|x| = 0
If x=0 and y=0, then our answer is Yes.
If we make y=-2 and x=1, this this statement satisfies the equation, however our answer to the question will now be No.
Yes+No=NF

(1)+(2) x+y+2|x|+2|y|=0
If x=0 and y=0, then our answer is Yes.
There is not a possible scenario where you can use negative numbers for x or y and satisfy the equation.
Therefore, the only possible answer here is x=0 y=0. Yes. Sufficient

Answer: C
avatar
rohail7869
avatar
Joined: 09 Dec 2017
Last visit: 04 Apr 2018
Posts: 3
Posts: 3
Kudos: 0
Is |x| + |y| = 0 (1) x + 2|y| = 0 (2) y + 2|x| = 0 12 Mar 2018, 05:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Chetan could you please explain the logic used here ?

Im a bit confused
Moderators:
Bunuel
Math Expert
105408 posts
kingbucky
496 posts