Question

If p, q are true statement and r is false statement, then which of the following statements is a true statement.

Options

• (p → r) → q is false

• (p ↔ q) ↔ r is false

• (p ∧ q) → r is true

• (p v q) v r is false

Answer 1

(p ↔ q) → r is false

Explanation:

p	q	r	(p → r) → q	(p ↔ q) ↔ r	(p ∧ q) → r	(p v q) v r
T	T	F	T	F	F	T

∴ (p ↔ q) ↔ r is false is true statement.