1.

If p is true and q is false then the truth values of (p → q) ↔ (~q → ~p) and (~p ∨ q) ∧ (~q ∨ p) are respectively (A) F, F (B) F, T (C) T, F (D) T, T

Answer»

Correct option: (C) T, F

(p → q) ↔ (~q → ~p) and (~p ∨ q) ∧ (~q ∨ p)

∴ (T → F) ↔ (~F → ~T) and (~T ∨ F) ∧ (~F ∨ T)

⇒ F ↔ (T → F) and (F ∨ F) ∧ (T ∨ T)

⇒ F ↔ F and F ∧ T ⇒ T and F



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