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.

Write the negation of the following statements: (i) p: For every real number x, x^(2)gtx . (ii) q: There exists a rational number x such that x^(2) = 2 . (iii) r: All birds have wings. (iv) s: All students study mathematics at the elementary level.

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.

Write the following rational numbers in the form of p//q, where q is of the form 2^(n)5^(m) where n,m are non-negative integers and then write the numbers in their decimal form. (iii) 51/64

Write the following rational numbers in the form of p//q, where q is of the form 2^(n)5^(m) where n,m are non-negative integers and then write the numbers in their decimal form. (ii) 7/25

Write the following rational numbers in the form of p//q, where q is of the form 2^(n)5^(m) where n,m are non-negative integers and then write the numbers in their decimal form. (i) 3/4

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c (i) x = -5 (ii) y = 2 (iii) 2x = 3 (iv) 5y = -3

Restate the following statements with appropriate conditioins, so that they become true statements. i. For every real number x, 3x gt x . ii. For every real number x, x^(2) ge x iii. If you divide a number by two, you will always get half of that number. iv. The angle subtended by a chord of a circle at a point on the circle is 90°. v. If a quadrilateral has all its sides equal, then it is a square.