Value of x*

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Value of x*

by ronsom » Sun May 16, 2010 6:29 pm
For all integers n, n* = n(n-1). What is the value of x*?

(1) x* = x
(2) (x-1)* = x-2

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by Rahul@gurome » Sun May 16, 2010 7:13 pm
From (1) x(x-1) = x
Or x(x-2) = 0.
Or x = 0 or 2.
Since we do not get a unique value of x (1) is not sufficient.
From (2) (x-1)*(x-2) = (x-2).
Or (x-1)*(x-2)-(x-2) = 0.
Or (x-2)*(x-2) = 0.
Or x = 2.
So (2) alone is sufficient.

The correct answer is (B).
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