If the statements p , q and r are true, false and true statements respectively, then the truth value of the statement pattern [ q (p q) r] p and the truth value of its dual statement respectively are

Step-by-step solution

Given truth values: p T , q F , r T , with negations p F , q T , r F . Evaluating the statement pattern S = [ q (p q) r] p : S = [T (T T) F] T = [T T F] T = F T = T The dual statement S^* is obtained by interchanging with and vice versa: S^* = [ q (p q) r] p = [T (T T) F] T = [T T F] T = T T = T Both the original statement and its dual evaluate to T . The final answer is A