Write the negation of the following statements :
(i) p : For every positive real number x, the number x - 1 is also positive.
(ii) q : All cats scratch.
(iii) r : For every real number x, either x > 1 or x < 1.
(iv) s : There exists a number x such that 0 < x < 1.
Identify the quantifier in the following statements and write the negation of the statements.
(i) There exists a number which is equal to its square.
(ii) For every real number x, x is less than x + 1.
(iii) There exists a capital for every state in India.