Write the negation of the following statements and check whether the resulting statements are true or false
(i) p : Diagonals of a square are equal
(ii) q : Irrational number are natural numbers
(iii) r : There are infinite even prime number

Explanation

(i) ~p : It is false that diagonals of a square are equal.
~p is false, since diagpnal of a square are of equal length
(ii) q : Irrational numbers are not natural numters.
~q is true.
(iii) ~r : It is false that there are infinite even prime numbers.
~r is true. Since there is oniy one even prime number.