Write the converse and contrapositive of each of the following :
(i) If x is a prime number, then x is odd.
(ii) If a positive integer n is divisible by 9, then the sum of its digits is divisible by 9.
(iii) If the two lines are parallel, then they do not intersect in the same plane.
(iv) If the diagonal of a quadrilateral bisect each other, then it is a parallelogram.
(v) If A and B are subsets of X such that A ⊆ B, then (X – B) ⊆ (X – A)
(vi) If f(2) = 0, then f(x) is divisible by (x – 2).
(vii) If you were born in India, then you are a citizen of India.
(viii) If it rains, then I stay at home.
(i) If x is not an odd number, then it is not a prime.
(ii) If the sum of the digits of a positive integer n is not divisible by 9, then n is not divisible by 9.
(iii) If two lines intersect in the same plane, then they are not parallel.
(iv) If the quadrilateral is not a parallelogram, then its diagonals do not bisect each other.
(v) If A and B are subsets of X such that (X – B) is not a subset of (X – A), then A is not a subset of B.
(vi) If f(x) is not divisible by (x-2), then f(2) ≠ 0.
(vii) If you are not a citizen of India, then you were not born in India.
(viii) If I do not stay at home, then it does not rain.