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JEE Main 2016 · 3 Apr · Shift 1, Mathematics question 90

The Boolean Expression (p∧∼q)∨q∨(∼p∧q)(p\wedge\sim q)\vee q\vee(\sim p\wedge q) is equivalent to :

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Answer and worked solution

Official answer: C

(p∧∼q)∨q=p∨q(p\wedge\sim q)\vee q=p\vee q, and (∼p∧q)(\sim p\wedge q) adds nothing new, so the expression is p∨qp\vee q.

Topics:Mathematical reasoning
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