Question

If (p ∧ q) ∧ (p  -  r)  → ~ p  ∨ q is false, then the truth values of p, q and r are, respectively, 

(A) F, T, F 

(B) T, F, T 

(C) T, T, T 

(D) F, F, F

Answer 1

Answer is (B) T, F, T

Given (p ∧ ~ q) ∧ (p ∧ r) → ~ p ∨ q  is false.

Now, the truth table is

Only possible solution of (p, q, r) is (T, F, T) or (T, F, F).