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# If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?

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Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true? [#permalink]
NischalSR ZenJames

If someone can lease exlain me where am I going wrong,
For A, I started w dividing the question with 0.5 throughout so it was x^7>y^5>z^3 if we take y as 2 and z as 3 then this condition is satisfied 32 (i.e 2^5)>27 (i.e 3^3) but 2>3 is not satisfied hence A cannot be true
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Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true? [#permalink]
Dhwanii

I think you are stopping at testing just one case. I took the theoretical approach instead, but I reckon you can do both.
The question is asking "which of the following CANNOT be true" meaning that there is no way that it can be true.
Consider this for option A: if x=3, y=2 , z=1, then A is true.
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Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true? [#permalink]
ZenJames, Thanks for your help. Understood, so basically even if one value can be true, option has to be discarded. Guess I used the must be true approach.
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Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true? [#permalink]
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Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true? [#permalink]
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