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|xy| > x^2y^2

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Manager
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|xy| > x^2y^2 [#permalink] New post 17 Aug 2013, 11:51
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

58% (02:04) correct 41% (01:08) wrong based on 43 sessions
|xy| > x^2y^2 ?

(1) 0 < x^2 < 1/4
(2) 0 < y^2 < 1/9


Source: GMAT Prep Question Pack 1
Difficulty: Medium

--------------------
[Reveal] Spoiler:
Can someone please explain what to do with |xy| > x^2y^2 before we look into the equations?

I got |xy| > (xy)^2 but I didn't know how to interpret the inequality from here. Thanks in advance
[Reveal] Spoiler: OA

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Director
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Joined: 14 Dec 2012
Posts: 836
Location: India
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GMAT 1: 640 Q49 V29
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Kudos [?]: 481 [1] , given: 196

Re: |xy| > x^2y^2 [#permalink] New post 17 Aug 2013, 12:01
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DelSingh wrote:
|xy| > x^2y^2 ?

1) 0 < x^2 < 1/4

2) 0 < y^2 < 1/9


IMO C

|xy| > x^2y^2
since both sides are positive square both sides
(xy)^2 > (xy)^4
(xy)^2((xy)^2-1)<0
since (xy)^2>0 therefore (xy)^2-1<0
(xy)^2<1
or -1<xy<1
......so finally this is question.

finally you need both x and y to come to conclusion

STATEMENT 1==>ONLY X HENCE INSUFFICIENT.
0 < x^2 < 1/4
-1/2<x<1/2

STATEMENT 2 ==>ONLY Y HENCE INSUFFICIENT
0 < y^2 < 1/9
-1/3<y<1/3
now combining both clearly -1<xy<1
hence C

HOPE IT HELPS
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Last edited by blueseas on 17 Aug 2013, 14:16, edited 1 time in total.
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Re: |xy| > x^2y^2 [#permalink] New post 17 Aug 2013, 13:45
blueseas wrote:
DelSingh wrote:
|xy| > x^2y^2 ?

1) 0 < x^2 < 1/4

2) 0 < y^2 < 1/9


|xy| > x^2y^2
since both sides are positive square both sides
(xy)^2 > (xy)^4
(xy)^2((xy)^2-1)<0
since (xy)^2>0 therefore (xy)^2-1<0
(xy)^2<1
......so finally this is question.

finally you need both x and y to come to conclusion

STATEMENT 1==>ONLY X HENCE INSUFFICIENT.
STATEMENT 2 ==>ONLY Y HENCE INSUFFICIENT
hence D

HOPE IT HELPS



If both are insufficient OA is either C or E. Could you please elaborate?


for me the OA is C

Case 1: -> -1/2 < x < 1/2 and x <> 0

we dont know if |xy|>x^2y^2 as we dont know about Y

case 2; -> -1/3 < y < 1/3 and y <> 0

we dont know if |xy|>x^2y^2 as we dont know about X

Combining both

for any values of x & Y , |xy| > x^2y^2
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Maadhu

MGMAT1 - 540 ( Trying to improve )

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Director
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User avatar
Joined: 14 Dec 2012
Posts: 836
Location: India
Concentration: Finance, Real Estate
GMAT 1: 640 Q49 V29
GMAT 2: 670 Q50 V29
GMAT 3: 620 Q49 V26
GMAT 4: 700 Q50 V34
GPA: 3.6
Followers: 35

Kudos [?]: 481 [1] , given: 196

Re: |xy| > x^2y^2 [#permalink] New post 17 Aug 2013, 14:17
1
This post received
KUDOS
maaadhu wrote:


If both are insufficient OA is either C or E. Could you please elaborate?


for me the OA is C


THANKS .
that was mistake.
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...



GMAT RCs VOCABULARY LIST: vocabulary-list-for-gmat-reading-comprehension-155228.html
learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat- ... assessment
: http://www.youtube.com/watch?v=APt9ITygGss

Re: |xy| > x^2y^2   [#permalink] 17 Aug 2013, 14:17
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