Last visit was: 27 Apr 2026, 17:41 It is currently 27 Apr 2026, 17:41
Home
Messages
Tests
Schools
Events
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
HIUY
User avatar
Joined: 22 Mar 2018
Last visit: 20 Apr 2018
Posts: 4
Own Kudos:
11
 [10]
Given Kudos: 3
Posts: 4
Kudos: 11
 [10]
If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0 27 Mar 2018, 02:30
Kudos
Add Kudos
10
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:

15% (low)

Question Stats:

77% (00:48) correct 23% (00:49) wrong based on 471 sessions

History

Date
Time
Result
Not Attempted Yet
If xy ≠ 0, is x = y?

(1) |x| = |y|
(2) xy > 0

Show Spoiler
Statement (1) is not sufficient as x could be either >0 or <0 and same for y

Statement (2) is also insufficient as if x>0 then y must be >0 to have xy>0 and if x<0 then y must be <0 to have xy>0
but x could differ from y

However, I do not understand why taking together statement (1) and statement (2) is sufficient as we have two possibilities:
x>0 y>0 , lxl=lyl , then x=y
x<0 y<0, lxl=lyl, then x=y
ShowHide Answer
Official Answer
C
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 27 Apr 2026
Posts: 109,929
Own Kudos:
811,619
 [1]
Given Kudos: 105,914
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: 109,929
Kudos: 811,619
 [1]
If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0 27 Mar 2018, 06:06
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
HIUY
If xy ≠ 0, is x = y?

(1) |x| = |y|
(2) xy > 0

Show Spoiler
Statement (1) is not sufficient as x could be either >0 or <0 and same for y

Statement (2) is also insufficient as if x>0 then y must be >0 to have xy>0 and if x<0 then y must be <0 to have xy>0
but x could differ from y

However, I do not understand why taking together statement (1) and statement (2) is sufficient as we have two possibilities:
x>0 y>0 , lxl=lyl , then x=y
x<0 y<0, lxl=lyl, then x=y
Show more


If xy ≠ 0, is x = y?

(1) |x| = |y|. This implies that x and y are same distance from 0: either x = y or x = -y. Not sufficient.

(2) xy > 0. This implies that x and y have the same sign. Not sufficient.

(1)+(2) Since from (2) we know that x and y have the same sign and from (1) we know that x and y are same distance from 0, then it must be true that x = y. Sufficient.

Answer: C.

HIUY
If xy ≠ 0, is x = y?

(1) |x| = |y|
(2) xy > 0

Statement (1) is not sufficient as x could be either >0 or <0 and same for y

Statement (2) is also insufficient as if x>0 then y must be >0 to have xy>0 and if x<0 then y must be <0 to have xy>0
but x could differ from y

However, I do not understand why taking together statement (1) and statement (2) is sufficient as we have two possibilities:
x>0 y>0 , lxl=lyl , then x=y
x<0 y<0, lxl=lyl, then x=y
Show more

Are both cases you have there the same? The question asks whether x = y and both cases give an YES answer to the question.
User avatar
rohan2345
User avatar
Current Student
Joined: 29 Jan 2015
Last visit: 29 Aug 2024
Posts: 1,366
Own Kudos:
3,184
 [1]
Given Kudos: 144
Location: India
WE:General Management (Consumer Packaged Goods)
Products:
My Reviews
Posts: 1,366
Kudos: 3,184
 [1]
If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0 27 Mar 2018, 13:43
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
HIUY
If xy ≠ 0, is x = y?

(1) |x| = |y|
(2) xy > 0

Show Spoiler
Statement (1) is not sufficient as x could be either >0 or <0 and same for y

Statement (2) is also insufficient as if x>0 then y must be >0 to have xy>0 and if x<0 then y must be <0 to have xy>0
but x could differ from y

However, I do not understand why taking together statement (1) and statement (2) is sufficient as we have two possibilities:
x>0 y>0 , lxl=lyl , then x=y
x<0 y<0, lxl=lyl, then x=y
Show more

Straight C.

1- We do not know anything about their sign. X can be +5 and Y can be -5. Not sufficient.
2- X and Y can be any number other than 0. This statement does tell us that both x and y have the same sign.

Statement 1 and 2 together are sufficient. Hence C.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 27 Apr 2026
Posts: 109,929
Own Kudos:
811,619
Given Kudos: 105,914
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: 109,929
Kudos: 811,619
If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0 30 Mar 2018, 08:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
HIUY
If xy ≠ 0, is x = y?

(1) |x| = |y|
(2) xy > 0

Show Spoiler
Statement (1) is not sufficient as x could be either >0 or <0 and same for y

Statement (2) is also insufficient as if x>0 then y must be >0 to have xy>0 and if x<0 then y must be <0 to have xy>0
but x could differ from y

However, I do not understand why taking together statement (1) and statement (2) is sufficient as we have two possibilities:
x>0 y>0 , lxl=lyl , then x=y
x<0 y<0, lxl=lyl, then x=y
Show more


10. Absolute Value



For more check Ultimate GMAT Quantitative Megathread

User avatar
AkshdeepS
User avatar
Joined: 13 Apr 2013
Last visit: 20 Apr 2026
Posts: 1,423
Own Kudos:
1,937
Given Kudos: 1,002
Status:It's near - I can see.
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Products:
My Reviews
Posts: 1,423
Kudos: 1,937
If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0 30 Mar 2018, 09:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
HIUY
If xy ≠ 0, is x = y?

(1) |x| = |y|
(2) xy > 0
Show more

Statement 1: It tells you only that distance of x and y from 0 on the number line equal. Insufficient

Statement 2: It tells you only that sign of x and y are same. Insufficient

Combining we know that x = y

(C)
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,984
Own Kudos:
1,119
Posts: 38,984
Kudos: 1,119
If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0 09 Nov 2022, 07:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109929 posts
kingbucky
498 posts
Gmat860sanskar
212 posts