number properties

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Source: — Data Sufficiency |

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by neelgandham » Thu Jan 12, 2012 8:41 am
y is not zero, is (2^x/y)^x<1?
Assuming (2^x/y) = (2^(x/y)),

If y!=0, Is 2^(x*x/y)< 1?
1). x>y

If x = 4 and y = 2, then 2^(x*x/y) = 2^(8) > 1
If x = 4 and y = -2, then 2^(x*x/y) = 2^(-8) < 1
If x = 0 and y = -2, then 2^(x*x/y) = 2^(0) = 1
Hence Insufficient!
2). y< 0
If x = 4 and y = -2, then 2^(x*x/y) = 2^(-8) < 1
If x = 0 and y = -2, then 2^(x*x/y) = 2^(0) = 1
Hence Insufficient!

From 1 and 2
If x = 4 and y = -2, then 2^(x*x/y) = 2^(-8) < 1
If x = 0 and y = -2, then 2^(x*x/y) = 2^(0) = 1
Hence Insufficient!

IMO E
Anil Gandham
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by ArunangsuSahu » Thu Jan 12, 2012 8:49 am
(E)

Just plug in the data x=+ive and x=-ive