Which of the following is equivalent to `(p ^^q):` (a) `p -> ~q` (b) `~(~p ^^ ~q)` (c) `~(p-> ~q)` (d) Non of these

Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ p)->r (b) ~ r->(~ p v q) (c) ~((p^^(~ q))^^(~ r)) (d) ~ r->(~ p^^q)

p to ~(p^^~q) is equivalent to

7. Let A= {p, q, r}. Which of the following is an equivalence relation on A?(a) R, = {(p, q), (q, r), (p, r), (p, q)} (b) R2 = {(1,9).(,p), (r,r). (9,7)} (c) Rz = {(p, p), (q,9), (r, r), (p, q)} (d) one of these

(p to q)^^(q to ~p) is equivalent to

(p ^^ ~ q)vv q is logical equivalent to (a) p vv q (b) ~P (c) p (d) ~q

~[(~p) ^^q] is logically equivalent to a) ~ (p vv q) b) ~ [p ^^ (~q)] c) p ^^ (~q) d) p vv (~q)

The statement ~(~prarrq) is equivalent to (A) pvv~q (B) ~p^^q (C) ~p^^~q (D) ~pvvq

Using the truth table, prove the following logical equivalence : p hArr q -= (p ^^ q) vv(~p ^^~q) .

Construct the truth table for the followings statements : (a) (p^^q) to ~ p " " (b) (p^^q) to (pvvq) (c) (p^^q) to r " " (d) [p^^(~r)] to (qvvr)

Construct the truth table for the followings statements : (a) (p^^q) to ~ p " " (b) (p^^q) to (pvvq) (c) (p^^q) to r " " (d) [p^^(~r)] to (qvvr)