Aptitude Question ID : 94817

The value of
1-\frac{a}{1-\frac{1}{1+\frac{a}{1-a}}} is :
[A]0
[B]1
[C]1 – a
[D]a

0
Expression = 1-\frac{a}{1-\frac{1}{1+\frac{a}{1-a}}}
= 1-\frac{a}{1-\frac{1}{\frac{1-a+a}{1-a}}} = 1-\frac{a}{1-\frac{1}{\frac{1}{1-a}}}
= 1-\frac{a}{1-\left ( 1-a \right )} = 1-\frac{a}{1-1+a}
= 1-1 = 0
Hence option [A] is right answer.

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