NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 12:44 It is currently 26 Apr 2024, 12:44
Decision Tracker
My Rewards
New posts
New comers' posts

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

Is 2|xy^2|> 0?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
Zarrolou
Director
Director
Joined: 02 Sep 2012
Status:Far, far away!
Posts: 859
Own Kudos [?]: 4891 [21]
Given Kudos: 219
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Send PM
GMAT ToolKit User
Is 2|xy^2|> 0? [#permalink] New post   05 May 2013, 10:35
7
Kudos
14
Bookmarks
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

48% (01:00) correct 52% (01:00) wrong based on 300 sessions
Hide Show timer Statistics
Is 2|xy^2|> 0?

(1) x > 0

(2) xy > 0
ShowHide Answer
Official Answer
B
User avatar
manishuol
Intern
Intern
Joined: 30 Sep 2012
Status:Pushing Hard
Affiliations: GNGO2, SSCRB
Posts: 44
Own Kudos [?]: 203 [4]
Given Kudos: 11
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.33
WE:Analyst (Health Care)
Send PM
Reviews Badge
Re: Is 2|xy^2|> 0? [#permalink] New post   05 May 2013, 20:35
4
Kudos
Zarrolou wrote:
Is \(2|xy^2|> 0\)?

A)\(x>0\)

B)\(xy>0\)

This is a DS I created, I'll post the OA and the OE after some discussion

If you want give it a try, Kudos to the first user(s) who got it right!


This Q . asks Is \(2|xy^2|> 0\)? or \(|xy^2|> 0\)?

Statement :: 1 --- > \(x>0\) .. Dont't Know the value of Y ,.... It can be integer or 0 as well. Therefore, Insufficient.

Statement :: 2--- > \(xy>0\) ........ This means that either of them has +ve signs or -ve signs. Because for both the cases the condition ...\(xy>0\) must be true. & if we use these values in the Q, stem... The result must be same for both the signs. Therefore, Sufficient.

Hence ................ B .
avatar
anish123ster
Intern
Intern
Joined: 19 Aug 2012
Posts: 43
Own Kudos [?]: 283 [3]
Given Kudos: 9
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   Updated on: 05 May 2013, 14:02
3
Kudos
B..
so as to confirm that it equation is not equal to zero..

Originally posted by anish123ster on 05 May 2013, 11:50.
Last edited by anish123ster on 05 May 2013, 14:02, edited 1 time in total.
avatar
navkaran
Intern
Intern
Joined: 27 Jul 2012
Posts: 25
Own Kudos [?]: 71 [1]
Given Kudos: 14
Schools: Stanford '17 (II) HBS '18 (S) Kellogg '18 Wharton '18 (S) Anderson '18 ISB '17 Sloan '18 CBS
Send PM
GMAT ToolKit User
Re: Is 2|xy^2|> 0? [#permalink] New post   05 May 2013, 13:28
1
Kudos
B
2nd option is necessary
Just need to see if the expression is not 0.
1 alone cant assure that, but 2 alone can
User avatar
Bluelagoon
Manager
Manager
Joined: 21 Jan 2010
Posts: 193
Own Kudos [?]: 610 [1]
Given Kudos: 12
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   05 May 2013, 15:35
1
Kudos
The given condition will be true if both x and y are not zero. B clearly states that. Hence B.
User avatar
Archit143
Director
Director
Joined: 21 Sep 2012
Status:Final Lap Up!!!
Affiliations: NYK Line
Posts: 734
Own Kudos [?]: 1858 [1]
Given Kudos: 70
Location: India
Schools: Cox '16 (S) AGSM '16 Tulane '16 (S) McCombs '16 (S) Neeley '16 (S) Jones '16 (S) ISB '15 (D) MIT-LGO '16 (M)
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE:Engineering (Transportation)
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   05 May 2013, 21:13
1
Kudos
missed the point that y could be equal to 0....Of course anopther vote for B

Archit
User avatar
B
mau5
Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 485
Own Kudos [?]: 3093 [1]
Given Kudos: 141
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   05 May 2013, 22:05
1
Kudos
Zarrolou wrote:
Is \(2|xy^2|> 0\)?

A)\(x>0\)

B)\(xy>0\)

This is a DS I created, I'll post the OA and the OE after some discussion

If you want give it a try, Kudos to the first user(s) who got it right!


The question is asking , IS a mod quantity >0? This will always be true, unless there is a possibility that this mod quantity CAN be zero.

From F.S 1, we know that only x>0. y can be 0, in which case we get a NO and y can be a non-zero number, in which case we get a YES. Insufficient.

From F.S 2, we know that xy>0. Thus, both x and y are non-zero numbers. Sufficient.

B.
avatar
AbuRashid
Intern
Intern
Joined: 05 May 2013
Posts: 5
Own Kudos [?]: 6 [1]
Given Kudos: 6
Send PM
GMAT ToolKit User
Re: Is 2|xy^2|> 0? [#permalink] New post   06 May 2013, 03:00
1
Kudos
Answer is B. for S1, the left side cannot be less than zero but certainly it can be zero if y = 0.
User avatar
Reaper
Intern
Intern
Joined: 31 May 2013
Posts: 10
Own Kudos [?]: 4 [1]
Given Kudos: 31
Send PM
GMAT ToolKit User Reviews Badge
Re: Is 2|xy^2|> 0? [#permalink] New post   23 Jun 2013, 08:38
1
Kudos
Not clear about B.

If we open the modulus we arrive at different values

for xy > 0

x < 0, y < 0 then xy^2 < 0
x > 0, y > 0 then xy^2 > 0
User avatar
L
Mo2men
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2461
Own Kudos [?]: 1360 [1]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Send PM
Reviews Badge
Re: Is 2|xy^2|> 0? [#permalink] New post   02 May 2018, 14:32
1
Kudos
srinjoy1990 wrote:
I somehow don't find the question convincing.

2|xy^2|> 0

note that y^2 > 0 for any real value of y. We do not consider imaginary values in gmat. If so,
then,

2|xy^2|> 0 => |x| > 0. [Note that |x| > 0 for any value except 0, x belongs to {(-inf, inf) - 0}]

If so, then the answer cannot be B.

B states xy > 0 This means x > 0 and y >0 or x< 0 and y <0. If y <0 then x <0. So in any case |x| > 0 since |x| != 0.

Then inequality does not depend on the value of y in anyway. IMO D.


y^2 could equal to zero too. i.e. y = 0. Hence the answer is to question is No. If y is any number then answer would be yes.
User avatar
Archit143
Director
Director
Joined: 21 Sep 2012
Status:Final Lap Up!!!
Affiliations: NYK Line
Posts: 734
Own Kudos [?]: 1858 [0]
Given Kudos: 70
Location: India
Schools: Cox '16 (S) AGSM '16 Tulane '16 (S) McCombs '16 (S) Neeley '16 (S) Jones '16 (S) ISB '15 (D) MIT-LGO '16 (M)
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE:Engineering (Transportation)
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   05 May 2013, 11:45
Hi
I think the question is flawed....U need to check it again...I may be wrong, If i am than pls correct me!

Consider kudos if my post helps!!!!!

Archit
User avatar
Zarrolou
Director
Director
Joined: 02 Sep 2012
Status:Far, far away!
Posts: 859
Own Kudos [?]: 4891 [1]
Given Kudos: 219
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Send PM
GMAT ToolKit User
Re: Is 2|xy^2|> 0? [#permalink] New post   06 May 2013, 03:22
1
Bookmarks
Good job guys!

The OA in indeed B.

\(|abs|\) can be \(\geq{0}\), so to make sure that is \(>\) we need to enstablish that both x,y are \(\neq{0}\)

B does just that
User avatar
Bluelagoon
Manager
Manager
Joined: 21 Jan 2010
Posts: 193
Own Kudos [?]: 610 [0]
Given Kudos: 12
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   08 May 2013, 13:37
Zarrolou wrote:
Is 2|xy^2|> 0?

(1) x > 0

(2) xy > 0


Absolute values are always greater than equal to zero. So, the question is asking if both x and y are not zero.
1)No mention of y .
2)Both are positive or negative but not zero. That's what we want to know. SUFFICIENT.
avatar
krrish
Intern
Intern
Joined: 04 Mar 2013
Posts: 47
Own Kudos [?]: 13 [0]
Given Kudos: 6
Location: India
Concentration: General Management, Marketing
Schools: Booth '16 Kellogg '14 Stanford '14 Sloan '14
GPA: 3.49
WE:Web Development (Computer Software)
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   16 May 2013, 09:22
Zarrolou wrote:
Is 2|xy^2|> 0?

(1) x > 0

(2) xy > 0

Stmt 1 is not sufficient,
consider stmt2: sy is positive so no matter what ever may be the value of x, its in mod so its positive :: sufficient.
B. is the answer
User avatar
Zarrolou
Director
Director
Joined: 02 Sep 2012
Status:Far, far away!
Posts: 859
Own Kudos [?]: 4891 [0]
Given Kudos: 219
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Send PM
GMAT ToolKit User
Re: Is 2|xy^2|> 0? [#permalink] New post   23 Jun 2013, 08:45
shivdeepmodi wrote:
Not clear about B.

If we open the modulus we arrive at different values

for xy > 0

x < 0, y < 0 then xy^2 < 0
x > 0, y > 0 then xy^2 > 0


No matter what sign \(xy^2\) has, when we apply the mod it will become positive.

There is only one case in which this does not happen, and it's the case where \(xy=0\) => \(|xy^2|=0\).
With option B we are sure that neither x nor y is zero, so the expression \(2|xy^2|\) will be positive.

There is no need to open the abs value, all we need to check is whether x and y are not zero numbers => B does that and it's sufficient.

Hope it's clear
avatar
tchang
Intern
Intern
Joined: 07 Sep 2013
Posts: 22
Own Kudos [?]: 22 [1]
Given Kudos: 0
Concentration: Entrepreneurship
GPA: 3.52
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   15 Sep 2013, 17:40
1
Bookmarks
Since there's an absolute value symbol in the question, the ONLY time the left side ISN'T > 0 is when it EQUALS 0

So, if x or y = 0, then the answer is NO
If neither x nor y = 0, then the answer is YES

1) x > 0

x is positive, but we don't know about y
If y = 0, then NO
If y = anything else, then YES
Insufficient

2) xy > 0

x and y are either both positive or both negative. Neither can be 0 so the answer is always YES
Sufficient

Choose
Show Spoiler
B


t1000
avatar
B
srinjoy1990
Manager
Manager
Joined: 04 Feb 2016
Posts: 51
Own Kudos [?]: 24 [0]
Given Kudos: 4
Location: India
Concentration: Technology, Marketing
Schools: S.P.Jain Institute (A)
GMAT 1: 650 Q48 V32
GPA: 4
WE:Sales (Computer Software)
Send PM
Is 2|xy^2|> 0? [#permalink] New post   02 May 2018, 13:45
I somehow don't find the question convincing.

2|xy^2|> 0

note that y^2 > 0 for any real value of y. We do not consider imaginary values in gmat. If so,
then,

2|xy^2|> 0 => |x| > 0. [Note that |x| > 0 for any value except 0, x belongs to {(-inf, inf) - 0}]

If so, then the answer cannot be B.

B states xy > 0 This means x > 0 and y >0 or x< 0 and y <0. If y <0 then x <0. So in any case |x| > 0 since |x| != 0.

Then inequality does not depend on the value of y in anyway. IMO D.
avatar
B
srinjoy1990
Manager
Manager
Joined: 04 Feb 2016
Posts: 51
Own Kudos [?]: 24 [0]
Given Kudos: 4
Location: India
Concentration: Technology, Marketing
Schools: S.P.Jain Institute (A)
GMAT 1: 650 Q48 V32
GPA: 4
WE:Sales (Computer Software)
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   02 May 2018, 14:39
Missed it you are right!
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32688
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Is 2|xy^2|> 0? [#permalink] New post   23 Jul 2023, 09:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: Is 2|xy^2|> 0? [#permalink]
23 Jul 2023, 09:06
Moderator:
Bunuel
Math Expert
92948 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions