JEE Main | 2018Math miscellaneousHard

Question

The Boolean expression ~ (p ∨ q) ∨ (~ p ∧ q) is equivalent to :

Options

A.

p

B.

q

C.

~ q

D.

~p

Solution

~ (p ∨ q) ∨ (~ p ∧ q)
(~p ∨ ~q) ∨ (~p ∧ q)
⇒ ~p ∧ (~q ∨ q)
⇒ ~p ∧ t ≡~ p

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