$5 - [3 + {5 - (3 + \bar{5 - 2})}] =$

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answer is B.

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Detailed Solution

$\begin{array}{l} = 5 - [3 + {5 - (3 + \bar{5 - 2})}] (∵ \bar{5 - 2} = 3) \\ = 5 - [3 + {5 - (3 + 3)}] \\ = 5 - [3 + {5 - 6}] \\ = 5 - [3 + {- 1}] \\ = 5 - [3 - 1] (∵ + \times - = -) \\ = 5 - 2 \\ = 3 \end{array}$

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