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# DS: x^4+^4>z^4

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Senior Manager
Joined: 31 Jul 2006
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07 Oct 2006, 19:19
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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Manager
Joined: 01 Oct 2006
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07 Oct 2006, 20:05
2 is not sufficient.

(-2) + (-3) > -10
but (-2)^4 + (-3)^4 < (-10)^4

On the other hand (10)+ (9) > 1
(10)^4 + 9^4 > 1^4

1 is also not sufficient
Ex 1: 1+1>1
1^2 + 1^2 > 1^2
Ex2 : 4^2 + 5^2 > 6^2
but 16^2+25^2 < 36^2

Senior Manager
Joined: 31 Jul 2006
Posts: 440
Followers: 3

Kudos [?]: 48 [0], given: 0

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07 Oct 2006, 20:22
mst wrote:
2 is not sufficient.

(-2) + (-3) > -10
but (-2)^4 + (-3)^4 < (-10)^4

On the other hand (10)+ (9) > 1
(10)^4 + 9^4 > 1^4

1 is also not sufficient
Ex 1: 1+1>1
1^2 + 1^2 > 1^2
Ex2 : 4^2 + 5^2 > 6^2
but 16^2+25^2 < 36^2

Yes OA is E. Great explanation, I thought x^2+y^2 would satisfy all conditions, it's interesting as the powers increase the condition may change.
Re: DS: x^4+^4>z^4   [#permalink] 07 Oct 2006, 20:22
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