Write the converse of the following statements.
(i) If a number n is even, then `n^(2)` is even.
(ii) If you do all the exercises in the book, you get an A grade in the class.
(iii) If two integers a and b are such that `a gt b`, then `a -b` is always a positive integer.

Write each of the following statements in the form ''if-then'' To get an A^(+) in the class, it is necessary that you do all the exercises of the book.

Write the contrapositive of the following statement: (i) If a number is not divisible by 3, it is not divisible by 9. (ii) If you are not a citizen of India, then you were not born in India. (iii) If a triangle is not isosceles, then it is not equilateral.

Which of the following are statement? (i) 7 +2 lt 10 (ii) Set of rational numbers is finite (iii) How beautiful you are (iv) wish you all the best

Write the negation of the following statements: (i) Chennai is the capital of Tami Nadu. (ii) sqrt2 is not a complex number (iii) All triangle are not equilateral triangle.

In the expansion of (a+b)^(n) , if two consecutive terms are equal, then which of the following is/are always integer ?

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (a) If you live in Delhi, then you have winter clothes. (i) If you do not have winter clothes, then you do not live in Delhi. (ii) If you have winter clothes, then you live in Delhi.

i. Write the component statements, "All prime numbers are either even or odd. ii. Check whether these component statements are true or false. iii. Write the negation of the statement.

Identify the quantifier in the following statements and write its negation. i. for all positive integers x, we have x+2 gt 8 ii. There exists a capital for every state in India. iii. For every real number x, x lt x +1 .

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P= {m, n} and Q = {n, m}, then P xx Q= {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A xx B is a non-empty set of ordered pairs (x, y) such that x in A and y in B. (iii) If A={1,2}, B={3,4} then A xx (B cap phi)=phi