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

Author Message
Intern
Joined: 05 Dec 2017
Posts: 19
GMAT 1: 710 Q49 V38
Is |xy| > x^2 * y^2 ?  [#permalink]

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27 Aug 2018, 12:22
1
1
00:00

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
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1010
WE: Supply Chain Management (Energy and Utilities)
Is |xy| > x^2 * y^2 ?  [#permalink]

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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

_________________
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.
Senior Manager
Joined: 07 Oct 2017
Posts: 258
Re: Is |xy| > x^2 * y^2 ?  [#permalink]

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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.
Math Expert
Joined: 02 Sep 2009
Posts: 55802
Re: Is |xy| > x^2 * y^2 ?  [#permalink]

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28 Aug 2018, 04:25
sssjav wrote:
Is |xy| > x^2 * y^2 ?

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

Discussed here: https://gmatclub.com/forum/is-xy-x-2-y-158106.html Hope it helps.
_________________
Re: Is |xy| > x^2 * y^2 ?   [#permalink] 28 Aug 2018, 04:25
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