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 $MCA$.

Which of the following pairs are not logically equivalent?

Consider the following statements:
$r: \text{If } p \to q \text{ is false, then } p \vee q \text{ is false.}$
$s: \text{If } p \leftrightarrow q \text{ is false, then } p \vee q \text{ is false.}$
The truth values of $r \to s$ and $s \to r$ are respectively:

The statement pattern $\sim(p \vee q) \vee(\sim p \wedge q)$ is equivalent to

Consider the following statements.
$p: \text{If } 3^4 > 4^3, \text{then } 3^3 > 4^1$
$q: \text{The roots of the equation } x^2 - 2x + 2 = 0 \text{ are real if and only if Mumbai is in Maharashtra.}$
$r: \text{Statement } p \text{ is true or statement } q \text{ is false.}$
Which of the following has truth value $T$ (true)?

Which of the following statement patterns is a tautology?