State whether the "Or" used in the following statement is "exclusive" or "inclusive". Give reasons for your answer.
To apply for a driving licence,you should have a ration card or a passport.

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.

If $p$: It rains today,$q$: $I$ go to school,$r$: $I$ shall meet my friend,and $s$: $I$ shall go for a movie,then which of the following represents the proposition: "If it does not rain or if $I$ do not go to school,then $I$ shall meet my friend and go for a movie"?

State the converse and contrapositive of the following statement:
$q:$ $I$ go to a beach whenever it is a sunny day.

Negation of "Ram is in Class $X$ or Rashmi is in Class $XII$" is

The negation of the inverse of $\sim p \rightarrow q$ is