InterviewSolution
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The negation of p ∨ ( ~ q ∧ ~ p) is (A) ~ p ∧ q (B) p ∧ ~ q (C) ~ p ∨ ~ q (D) ~ p ∨ ~ q |
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Answer» Correct option: (A) ~ p ∧ q ~[ p ∨ ( ~ q ∧ ~ p)] ≡ ~ p ∧ ~ (~ q ∧ ~ p) ….[By De Morgan’s law] ≡ ~ p ∧ [ ~ ( ~ q ) ∨ ~ (~ p) ] ≡ ~ p ∧ (q ∨ p) ≡ ( ~ p ∧ q ) ∨ ( ~ p ∧ p) ….[Distributive property] ≡ ( ~ p ∧ q ) ∨ F ….[Complement law] ≡ ~ p ∧ q ….[Identity law] |
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