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Source: — Data Sufficiency |
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by anin » Wed Jun 23, 2010 10:07 am
blaster wrote:Is x > y?

(1) x^2 > y

(2) x - |y| > 0
IMO it's: B - 2 alone is sufficient.

In 1, x & y can be any value. ex. x= -2 and y = 1. x^2 > 1 but x > y is not true. Insufficient.

In 2, x -|y| > 0 is sufficient.
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by Patrick_GMATFix » Wed Jun 23, 2010 11:21 am
Hello blaster,

(1) is not sufficient. If x = 5, y could be 7 (x would be greater0 but y could also be 0 (x would not be greater). We don't know whether x > y.

(2) is sufficient. It tells us that x is greater than |y|, so x must be positive.
-->If y is also positive, then y=|y| and because x > |y|, it is guaranteed that x > y.

-->On the other hand, if y is negative, then x >y (since x is positive)

either way, x>y, so (2) is sufficient. the answer is B

Hope that helped,
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by jonathan123456 » Wed Jun 23, 2010 3:53 pm
IMO B
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by kvcpk » Wed Jun 23, 2010 6:21 pm
Patrick_GMATFix wrote:Hello blaster,
-->On the other hand, if y is negative, then x >y (since x is positive)
-Patrick
Hi Patrick,

How do we know that x is positive?
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by Testluv » Wed Jun 23, 2010 9:19 pm
kvcpk wrote:
Patrick_GMATFix wrote:Hello blaster,
-->On the other hand, if y is negative, then x >y (since x is positive)
-Patrick
Hi Patrick,

How do we know that x is positive?
Because absolute value is always positive or zero:

x>|y|

x>pos or zero

If x is greater than pos or zero, then x is definitely positive.

Suppose |z| = w

We know the left hand side must be positive or zero. We know the left hand side must equal the right hand side. Thus, w is positive or zero.
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by raunakrajan » Wed Jun 23, 2010 9:20 pm
First Statement defi doesnt qualify to be correct.

IMO, the second statement states x-!y!>0, this x has to be positive. if X is not positive x - mod y wouldnt be greater than 0
hence we can conclude that B is sufficient
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by kvcpk » Thu Jun 24, 2010 4:47 am
Testluv wrote:
kvcpk wrote:
Patrick_GMATFix wrote:Hello blaster,
-->On the other hand, if y is negative, then x >y (since x is positive)
-Patrick
Hi Patrick,

How do we know that x is positive?
Because absolute value is always positive or zero:

x>|y|

x>pos or zero

If x is greater than pos or zero, then x is definitely positive.

Suppose |z| = w

We know the left hand side must be positive or zero. We know the left hand side must equal the right hand side. Thus, w is positive or zero.
Got it now.. thanks!!
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