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