Question

Mark the correct answer in each of the following:
If the truth value of p ∨ q is true, then the truth value of ~ p ∧ q is
(a) false if p is true
(b) true if p is true
(c) false if q is true
(d) true if q is true

Answer 1

If truth value of p ∨ q is true
i.e. either p is true or q is true or both p and q are true.
Then If p is true, ~p ∧ q is false.
If q is true; ~p ∧ q; cannot be judged.

Hence, the correct answer is option A.