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

It is currently 15 Oct 2019, 01:59

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 xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58344
If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0  [#permalink]

Show Tags

New post 01 Nov 2018, 00:17
1
3
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (00:51) correct 22% (00:54) wrong based on 84 sessions

HideShow timer Statistics

CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2974
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0  [#permalink]

Show Tags

New post 01 Nov 2018, 01:25
Bunuel wrote:
If xy ≠ 0, is x = y?

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


Question: is x = y?

Statement 1: |x| = |y|

@y=2, x may be 2 or -2 hence
NOT SUFFICIENT

Statement 2: xy > 0

i.e. signs of both x and y are same because their product is positive but their absolute values may be same or different hence
NOT SUFFICIENT

Combining the two statements

Statement 1 states that absolute values of x and y are same
Statement 2 says that signs of x and y are same
i.e. x = y
SUFFICIENT

Answer: Option C
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1024
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Reviews Badge
Re: If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0  [#permalink]

Show Tags

New post 01 Nov 2018, 01:38
1
From statement 1:

|x| = |y|.
Squaring on both sides,
x^2 = y^2
x^2-y^2 = 0
(x+y)(x-y) = 0
x = y or x = -y.
Insufficient.

From statement 2:

xy>0
Either x and y both are positive or both negative.
No extra info.
Insufficient.

Combining both:

x and y are both positive.
hence x = y.

C is the answer.
_________________
Press +1 Kudos If my post helps!
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4988
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0  [#permalink]

Show Tags

New post 01 Nov 2018, 10:35
If xy ≠ 0, is x = y?

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

Stmnt 1= both x & y can be + or - hence not sufficient
stmnt 2= again x& y can be of same sign so not suffcient

combining 1 & 2 suffices the given relation hence C is correct
GMAT Club Bot
Re: If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0   [#permalink] 01 Nov 2018, 10:35
Display posts from previous: Sort by

If xy ≠ 0, is x = y? (1) |x| = |y| (2) xy > 0

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





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