BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

need some explanation?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 12
Joined: Sat May 05, 2012 11:27 am
Thanked: 1 times

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 ?
Top
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 59
Joined: Sun Mar 11, 2012 8:57 pm
Location: India
Thanked: 16 times
Followed by:1 members

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 :)
Top
Post new topic Post Reply
• Page 1 of 1