0^0 DS

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by Anurag@Gurome » Fri Jul 22, 2011 5:48 am
MBA.Aspirant wrote:What is the value of integer J ?

1. |J| = J^{-1}
2. J^J = 1
Statement 1: |J| = J^(-1) = 1/J ----> J*|J| = 1
If J > 0, J*|J| = J*J = 1 ----> J² = 1 ----> J = 1
If J < 0, J*|J| = J*(-J) = 1 ----> J² = -1 ----> No integer value is possible for J

Hence, only possible value of J is 1.

Sufficient


Statement 2: J^J = 1
Only possible way to express 1 as J^J, where J is an integer is 1^1.
Hence, only possible value of J is 1.

Sufficient

The correct answer is D.
Anurag Mairal, Ph.D., MBA
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