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Is |xy| > x^2 * y^2 ?

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Intern
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Joined: 05 Dec 2017
Posts: 15
GMAT 1: 710 Q49 V38
Is |xy| > x^2 * y^2 ?  [#permalink]

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New post 27 Aug 2018, 12:22
1
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (01:51) correct 29% (00:44) wrong based on 21 sessions

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Is |xy| > x^2 * y^2 ?

(1) : 0 < x^2 < 1/4
(2) : 0 < y^2 < 1/9
Director
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Status: Learning stage
Joined: 01 Oct 2017
Posts: 860
WE: Supply Chain Management (Energy and Utilities)
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Is |xy| > x^2 * y^2 ?  [#permalink]

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New post Updated on: 27 Aug 2018, 13:26
sssjav wrote:
Is |xy| > x^2 * y^2 ?

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


Question stem:- Is \(|xy| > x^2 * y^2 ?\)

St1:- \(0 < x^2 < \frac{1}{4}\)
Or, \(\frac{-1}{2}<x<0\) or, \(0<x<\frac{1}{2}\)------------(1)
No info on 'y' is provided.
Insufficient

St2:- \(0 < y^2 < \frac{1}{9}\)
Or, \(\frac{-1}{3}<y<0\) or, \(0<y<\frac{1}{3}\)------------(2)
No info on 'x' is provided.
Insufficient

Combined, from (1) and (2), we have
Square of a positive fraction(between 0 to 1) is less than the original fraction. Square of a negative fraction is greater than the original fraction.

So, \(|xy|< x^2*y^2\). Since we have a definite answer. Hence, sufficient.

Ans. (C)

Edit: Fixed a typo error

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Regards,

PKN

Rise above the storm, you will find the sunshine


Originally posted by PKN on 27 Aug 2018, 13:13.
Last edited by PKN on 27 Aug 2018, 13:26, edited 1 time in total.
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Re: Is |xy| > x^2 * y^2 ?  [#permalink]

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New post 27 Aug 2018, 13:21
1
PKN wrote:
sssjav wrote:
Is |xy| > x^2 * y^2 ?

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


Question stem:- Is \(|xy| > x^2 * y^2 ?\)

St1:- \(0 < x^2 < 1/4\)
Or, \(\frac{-1}{2}<x<0\) or, \(0<x<\frac{1}{2}\)------------(1)
No info on 'y' is provided.
Insufficient

St2:- \(0 < y^2 < 1/9\)
Or, \(\frac{-1}{3}<x<0\) or, \(0<x<\frac{1}{3}\)------------(2)
No info on 'x' is provided.
Insufficient

Combined, from (1) and (2), we have
Square of a positive fraction(between 0 to 1) is less than the original fraction. Square of a negative fraction is greater than the original fraction.

So, \(|xy|< x^2*y^2\). Since we have a definite answer. Hence, sufficient.

Ans. (C)
So,
Hi PKN,

Statement 2 limits have a typo.

Thank you = Kudos
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Thank you =Kudos
The best thing in life lies on the other side of the pain.

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Joined: 02 Sep 2009
Posts: 49430
Re: Is |xy| > x^2 * y^2 ?  [#permalink]

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New post 28 Aug 2018, 04:25
GMAT Club Bot
Re: Is |xy| > x^2 * y^2 ? &nbs [#permalink] 28 Aug 2018, 04:25
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