need some explanation?

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need some explanation?

by gmatwarroom » Sun May 06, 2012 3:24 pm
This is data sufficiency Ques:
If x and y are non zero integers, is x power y < y power x?

1) x = y power 2
2) y > 2

Appreciate some good explanation.

By the way, this is OG (2nd edition) Q 121 -- explanation there is too complex.. any simpleer approach ?

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by shantanu86 » Sun May 06, 2012 5:59 pm
IMO the answer is [C] .. both together sufficient.

Explanation-
Is y^x > x^y? .. (i)

from
1) x = y power 2
=> x = y^2
substituting this in (i)
y^(y^2) > y^(2y) ?
for this to be true..
y>1 & y^2 > 2y
=>y>2
This is an information supplied by 2)
2) y > 2
Thus, both together are sufficient!!
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