Given three statements P: 5 is a prime number, Q : 7 is a factor of 192, R : The LCM of 5 & 7 is 35 Then which of the following statements are true (a) `Pvv(~Q^^R)` (b) `~P^^(~Q^^R)` (c) `(PvvQ)^^~R` (d) `~P^^(~Q^^R)`

Given that P+Q+R=0 . Which of the following statement is true?

Consider the following three statements: P: 5 is a prime number Q: 7 is a factor of 192 R: L.C.M of 5 and 7 is 35 Then the truth value of which one of the following statement is true? (~ P) \vee (Q\wedge R) (~ P) \wedge (Q\wedge R) P \vee (~Q\wedge R) (P\wedge Q)\vee (~R)

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

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)

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