Question

Mark the correct answer in each of the following:
The contrapositive of the statement ~ p ⇒ (p ∧ ~q) is
(a) p ⇒ (~ p ∨ q)
(b) p ⇒ (p ∧ q)
(c) p ⇒ (~ p ∧ q)
(d) (~p ∨ q) ⇒ p

Answer 1

For given statement;
∼p ⇒ (p∧ ∼q)
has contrapositive from given by
∼(p∧ ∼q) ⇒ ∼ (∼p)
i.e. (∼p∨ ∼(∼q)) ⇒ p (By De-Morgan's law)
i.e. (∼p ∨ q) ⇒ p

Hence, the correct answer is option D.