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Which one of the following is not a cont...

Which one of the following is not a contradiction? `[~ p^^(pvv~ q)]^^q` b. `(~ p^^q)vvp` c. `[(pvecq)vec]^^~ p` d. `(~ qvec~ p)harr(pvecq)`

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Which one of the following is not a contradiction? [sim p^^(p vv sim q)]^^q b.(sim p^^q)vv p c.[(p rarr q)rarr]^^sim p d.(sim q rarr sim p)harr(p rarr q)

prove that (p^^q) ^^~(pvvq) is a contradiction.

~ [ ~ p ^^ ( p harr q)] -=

Construct the switching circuit for each of the following statements : (1) (p^^q)vv(~p)vv(p^^~q) (2) (p^^q^^r)vv[~pvv(^^~r)] (3) [pvv(~p^^q)]vv[(~q^^r)vv~p]

Write the negation of each of the following statements (1) p^^(qtor) (2) ~pvv(qto~r) (3) (~pvv~q)^^(p^^~q) .

Which of the following statement is a tautology? А)((prarrq)^^(~q))rarr(~p)" " B) (prarrq)^^(~q))rarr P " "C)((p rarr q)^^q))rarr(~p) " "D)((prarrq)^^q))rarr p

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

Which of the following is equivalent to (p^^q):( a) p rarr sim q(b)sim(sim p^^sim q)(c)sim(p rarr sim q)(d) Non of these

Which of the following is false? (p=>q)hArr(~ a=>~ p) b. pvv(~ p) is a tautology c. ~(~ p)hArr(~ q=>~ p) is a tautology d. p^^(~ p) is a contradiction

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