Algebra of Statements

$(p\wedge ~q)\Rightarrow (q\vee ~p)$ is logically equivalent to 

The compound statement $~\left(\left(~p\right)\vee \left(~q\right)\iff \left(p\wedge q\right)\right)$ is a 

The negation of $p\vee \left(~q\wedge ~p\right)$ is equivalent to

If $p$ and $q$ are two logical statements, then which of the following is not commutative ?

Let two statements $p$ and $q$ is defined as below

$p : 2\times 4=7$,

$q :$ Kota is in London.

Then truth values of these statements: $\left(i\right) p\leftrightarrow q$             $\left(ii\right) ~p\to q$              $\left(iii\right) \left(p\to q\right)\wedge q$ are

The dual of $p\wedge ~p\equiv F$ is

The logical equivalent statement of $p\leftrightarrow q$ is

$\sim \left(p\vee q\right)\vee \left(\sim p\wedge q\right)$ is equivalent to

The statement $~p\to \left(q\to p\right)$ is equivalent to

Let $p:$ Maths is interesting and $q:$ Maths is easy, then $p\Rightarrow \left(~p\vee q\right)$ is equivalent to

Let $p:$ Maths is interesting and $q:$ Maths is easy, then $p\Rightarrow \left(~p\vee q\right)$ is equivalent to

The proposition $~\left(~p\to q\right)$ is equivalent to

If $p$ and $q$ are logical statements, then $p\Rightarrow \left(~q\Rightarrow p\right)$ is equivalent to

Let $p, q$ and $r$ be three statements, then $\left(~p\to q\right)\to r$ is equivalent to

In the above circuit, the current flows from $A$ to $B$ when

In the above network, current does not flow, when

If $p: 4$ is an odd number and $q: 4^3$ is an even number are two statements, then which of the following statements is equivalent to $~\left(p\Rightarrow q\right)$?

If $p: 25$ is a factor of $625$ and $q: 169$ is a perfect square, then $~\left(p\Rightarrow q\right)$ is equivalent to

Which of the following connectives satisfy commutative law?

Which of the following compound statement represents a series network?