Mathematical Re...

$$P\rightarrow (q\rightarrow r)$$ is logically equivalent to

$$p\vee q$$ is true, when 

Contrapositive of the statement  ''if two number are not equal then their square are not equal is ; 

Which of the following is not a tautology?

Select and write the correct answer from the given alternative of the following question:
If $$ p \wedge q $$ is false and $$ p \wedge q $$ is true, then __________ is not true.

Select and write the correct answer from the given alternative of the following question:
Inverse of statement pattern $$ (p \vee q) \rightarrow (p \wedge q) $$ is ________.

Select and write the correct answer from the given alternative of the following question:
The negation of inverse of $$ \sim p \rightarrow q $$ is ___________.

Select and write the correct answer from the given alternative of the following question:
If $$ p \wedge q $$ is F , $$ p \rightarrow q $$ is F then the truth values of $$p$$ and $$q$$ are ___________.

Select and write the correct answer from the given alternative of the following question:
If $$ A =  \left \{1 , 2 , 3 , 4 , 5  \right  \} $$ then which of the following is not true ?

Select and write the correct answer from the given alternative of the following question:
The negation of $$ p \wedge (q \rightarrow r) $$ is __________.