The statement $A \rightarrow(B \rightarrow A)$ is equivalent to :

The statement $(\sim(p \Leftrightarrow \sim q)) \wedge q$ is:

Which of the following statements is a tautology?

Which of the following statement is a tautology?

The maximum number of compound propositions, out of $p \vee r \vee s, p \vee r \vee \sim s, p \vee \sim q \vee s$,...

Negation of the Boolean statement $(p \vee q) \Rightarrow((\sim r) \vee p)$ is equivalent to :

Let $\mathrm{A}=\left(\begin{array}{cc}2 & -1 \\ 0 & 2\end{array}\right)$. If $\mathrm{B}=1-{ }^5 \mathrm{C}_1(\operatorname{adj} \mathrm{~A})+{ }^5 \mathrm{C}_2(\operatorname{adj} \mathrm{~A})^2-\ldots \ldots-{ }^5 \mathrm{C}_5(\operatorname{adj} \mathrm{~A})^5$, then the sum of all...

Let $r \in\{p, q, \sim p, \sim q\}$ be such that the logical statement $r \vee(-p) \Rightarrow(p \wedge q) \vee r$ is a tautology. Then...

Consider the following statements :
A : Rishi is a judge.
B : Rishi is honest.
C : Rishi is not arrogant.
The negation of...

The negation of the Boolean expression $((\sim q) \wedge p) \Rightarrow((\sim p) \vee q)$ is logically equivalent to