Question

Given ‘p’ and ‘q’ as true and ‘r’ as false, the truth values of ~p ∧ (q ∨ ~r) and (p → q) ∧ r are respectively 

(A) T, F 

(B) F, F 

(C) T, T 

(D) F, T

Answer 1

Correct option: (B) F, F

~p ∧ (q ∨ ~r) and (p → q) ∧ r

∴ ~T ∧ (T ∨ ~F) and (T → T) ∧ F

⇒ F ∧ (T ∨ T) and (T ∧ F)

⇒ F ∧ T and T ∧ F ⇒ F and F