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 ?
need some explanation?
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IMO the answer is [C] .. both together sufficient.
Explanation-
Is y^x > x^y? .. (i)
from
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)
Explanation-
Is y^x > x^y? .. (i)
from
=> x = y^21) x = y power 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)
Thus, both together are sufficient!!2) y > 2
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