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# DS-gmatprep

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Joined: 16 Jan 2008
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22 Dec 2008, 07:05
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Can someone get me the break up of this problem, I could not get the breaking condition...

Attachment:

q4.JPG [ 5.26 KiB | Viewed 1053 times ]
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Joined: 07 Nov 2007
Posts: 1764
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22 Dec 2008, 13:45
1
KUDOS
technocrat wrote:
Can someone get me the break up of this problem, I could not get the breaking condition...

Attachment:
q4.JPG

1) x^2+y^2>z^2

x^2=2 y^2=2 z^2=3 --> x^4+y^4>z^4 ---> fasle
x^2=3 y^2=1 z^2=2 --> x^4+y^4>z^4 ---> true

not sufficient

2) x+y>z

x=sqrt(2) y=sqrt(2) z= sqrt(3) --> x^4+y^4>z^4 ---> fasle
x=sqrt(3) y=sqrt(1) z= sqrt(2) --> x^4+y^4>z^4 ---> true
not sufficient

combined
not sufficient. (same as above.)

E.
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Joined: 29 Aug 2007
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23 Dec 2008, 11:39
technocrat wrote:
Can someone get me the break up of this problem, I could not get the breaking condition...

Attachment:
q4.JPG

Try with some integers and fractions.

1: if x = y = 5, and z = 5 or 4, true.
x = y = 5, and z = 6, not true.

2: x = y = 5, and z = 5 or 4, true.
x = y = 5, and z = 6, not true.

so E..
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Joined: 17 Jun 2008
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24 Dec 2008, 03:01
Alternatively, assuming x = 0,

From stmt1: y^2 > z^2

If y and z are integers, then y^4 > z^4, but if y and z are fractions then, y^4 < z^4 and hence insufficient.

Same explanation for stmt2

Hence, E.
Re: DS-gmatprep   [#permalink] 24 Dec 2008, 03:01
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