Write the negation of the following statement:
$q:$ All cats scratch.

The dual of the statement pattern $(p \land \sim q) \to (q \land \sim p)$ is equivalent to

Check whether the following sentence is a statement. Give reasons for your answer.
"The sun is a star."

Which of the following statements is a tautology?

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.

The converse of the statement "If $p < q$,then $p - x < q - x$" is -