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The negation of q ∨ ~(p ∧ r) is (A) ~q ∧ ~(p ∨ r)  (B) ~q ∧ (p ∧ r) 

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The negation of q ∨ ~(p ∧ r) is

(A) ~q ∧ ~(p ∨ r) 

(B) ~q ∧ (p ∧ r) 

(C) ~q ∧ (p ∧ r) 

(D) ~q ∧ (p ∧ r)

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1 Answer

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Correct option: (B) ~q ∧ (p ∧ r) 

Negation of q ∨ ~(p ∧ r) is

~[q ∨ ~(p ∧ r)] ≡ ~q ∧ ~(~(p ∧ r))

≡ ~q ∧ (p ∧ r)

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