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Source: — Data Sufficiency |
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by cramya » Sat Nov 08, 2008 12:27 pm
E)

Stmt I)

x^2+y^2 > z^2

Square both sides

x^4 + y ^ 4 +2 x ^ 2 y^2 > z ^ 2

Since we dont know anyhting about the value 2 x ^ 2 y^2 cant say if just
x^4 + y ^ 4 > z ^ 4 (may or may not be)

INSUFF

Stmt II

Pick numbers

x=2 y =4 z=3

x^4 + y ^ 4 > z ^ 4

x=2 y=5 z=7

x^4 + y ^ 4 < z ^ 4

INSUFF

Both stements put together still INSUFF
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by logitech » Sat Nov 08, 2008 12:30 pm
cramya wrote:E)

Stmt I)

x^2+y^2 > z^2

Square both sides

x^4 + y ^ 4 +2 x ^ 2 y^2 > z ^ 2
Cramya, we don't know whether the sign will stay the same, when you square both sides/

4 > -5

16 < 25
LGTCH
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by cramya » Sat Nov 08, 2008 12:40 pm
You are squaring something and adding on one side and squaring something on the other side. Hence it will always be positive so we can square this.
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by logitech » Sat Nov 08, 2008 12:55 pm
cramya wrote:You are squaring something and adding on one side and squaring something on the other side. Hence it will always be positive so we can square this.
As long as they are not complex numbers.
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by cramya » Sat Nov 08, 2008 1:06 pm
In Alice's Wonderland yes they can be complex numbers but not in the GMAT land :-)
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by logitech » Sat Nov 08, 2008 1:08 pm
cramya wrote:In Alice's Wonderland yes they can be complex numbers but not in the GMAT land :-)
You got me! :D
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