The negation of the inverse of the statement $∼ p \lor q$ is...

Which one of the following is a tautology?

Identify the quantifier in the following statement and write the negation of the statement.
There exists a capital for every state in India.

The negation of the statement "If an integer is greater than $4$ and less than $5$, then it is a multiple of $3$" is:

Which of the following statements has the truth value $T$?
$A$: Cube roots of unity are in Geometric Progression and their sum is $0$.
$B$: $4+7 > 10$ iff $2+8 < 10$.
$C$: $\exists x \in N$ such that $x^2-3x+2=0$ and $\exists n \in N$ such that $n$ is an odd number.
$D$: $3+i$ is a complex number or $\sqrt{2}+\sqrt{3}=\sqrt{5}$.

For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
The school is closed if it is a holiday or a Sunday.