Beat The GMAT a GMAT & MBA community

You help us rather; I’m befuddled to see this old post.

_________________
The laws of nature are but the mathematical thoughts of God. ~Euclid

Hi sanju09, charmaine,

x|y| >= |x|y.. (1.)

We know that abs value of a number is always >=0.. therefore (1.) can be true only if y is negative or 0 irrespective of x (x if positive '>' will happen, if negative or 0 '=' will happen.)

a.) alone tells that y is negative..

Hence, [A] is the correct answer.

Hope it helps!!

_________________
If you feel like it, hit thanks

I think both together would be required to comclude that |x|y > = |y|x

from A , we conclude that y <0, no information about x is supplied.--INSUFFICIENT
from B , we conclude that x <0, no information about y is supplied.--INSUFFICIENT

combine them , x<0 and y<0

they hence |x|y and |y|x would be equal to each other.

Hope I was clear.

_________________
Its do or die this time!
Practise, practise and practise.

Hi spartacus1412,

Your solution is incorrect.
Please read my earlier explanation once again and let me know if you have doubts.

As an illustration, let me use an example to reject your solution and establish mine..

let y = -3, x= +/- 5

My argument is that y= -3 is sufficient. Let's evaluate..

Case x = +5
x|y| = 15, |x|y = -15
hence, x|y| >= |x|y

Case x = -5
x|y| = -15, |x|y = -15
hence, x|y| >= |x|y

From this we can safely conclude that sign of x is not required and only y has to be negative for inequality to hold.

Hope it helps!!

_________________
If you feel like it, hit thanks

Oh I see, I thought "there are an absolute value of the subject, how is it so that kind" to be the part of question stem and got confused.

_________________
The laws of nature are but the mathematical thoughts of God. ~Euclid