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JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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The logical statement [∼(∼p∨q)∨(p∧r)]∧(∼q∧r)[ \sim ( \sim p \vee q) \vee (p \wedge r)] \wedge ( \sim q \wedge r) is equivalent to
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Correct option: C
(p∧r)∧∼q(p \wedge r) \wedge \sim q
Option C ((p∧r)∧∼q(p \wedge r) \wedge \sim q) is correct because the logical statement simplifies to this expression using De Morgan's laws and distributive properties.

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