Find the component statements of the following and check whether they are true or not.
$A$ person who has taken Mathematics or Computer Science can go for $MCA$.

The negation of the statement $\forall x \in N, x^2+x$ is an even number is

Among the statements:
$(S1) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow ( p$ $\Rightarrow r )$
$(S2) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow (( p$ $\Rightarrow r ) \vee ( q$ $\Rightarrow r ))$

Identify the type of "Or" used in the following statement and check whether the statement is true or false:
To enter into a public library,children need an identity card from the school or a letter from the school authorities.

The statement pattern $(p \lor q) \to \sim r$ is logically equivalent to

If the statement $p \vee \sim(q \wedge r)$ is false,then the truth values of $p, q$ and $r$ are respectively: