~(p ∨ q) ∨ (~p ∧ q) is logically equivalent to - Vidyadip

MCQ

~(p ∨ q) ∨ (~p ∧ q) is logically equivalent to

✓
~p
B
p
C
q
D
~q

✓

Answer

Correct option: A.

~p

(a) ~p
Hint:
~(p ∨ q) ∨ (~p ∧ q) ≡ (~p ∧ ~q) ∨ (~p ∧ q)
≡ ~p ∧ (~q ∨ q)
≡ ~p ∧ t
≡ ~p

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