Question

If truth values of p ↔ r, r, p ↔ q are F, T, F respectively, then respective truth values of p and q are ______.

Options

• F, T

• T, T

• F, F

• T, F

Answer 1

If truth values of p ↔ r, r, p ↔ q are F, T, F respectively, then respective truth values of p and q are F, T.

Explanation:

r ≡ T

p ↔ r ≡ F and p ↔ q ≡ F

⇒ p ≡ F and p ≡ F

⇒ q ≡ T

∴ Truth values of p and q are F and T respectively.