need some explanation?

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gmatwarroom: Junior | Next Rank: 30 Posts; Posts: 12; Joined: Sat May 05, 2012 11:27 am; Thanked: 1 times

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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Source: Beat The GMAT — Problem Solving | Sun May 06, 2012 3:24 pm

shantanu86: Senior | Next Rank: 100 Posts; Posts: 59; Joined: Sun Mar 11, 2012 8:57 pmFollowed by: 1 member; Location: India; Thanked: 16 times

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!!

If you feel like it, hit thanks

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