Form the biconditional statement p ↔ q, where

p : A natural number n is odd.

q : Natural number n is not divisible by 2.

Rewrite each of the following statements in the form of conditional statements

(i) The square of an odd number is odd.

(ii) You will get a sweet dish after the dinner.

(iii) You will fail, if you will not study.

(iv) The unit digit of an integer is 0 or 5 if it is divisible by 5.

(v) The square of a prime number is not prime.

(vi) 2b = a + c, if a, b and c are in A.P.

Form the biconditional statement p ↔ q, where

p : The unit digit of an integer is zero.

q : It is divisible by 5.

Form the biconditional statement p ↔ q, where

p : A triangle is an equilateral triangle.

q : All three sides of a triangle are equal.

Write down the contrapositive of the following statements:

(i) If x = y and y = 3, then x = 3.

(ii) If n is a natural number, then n is an integer.

(iii) If all three sides of a triangle are equal, then the triangle is equilateral.

(iv) If x and y are negative integers, then xy is positive.

(v) If natural number n is divisible by 6, then n is divisible by 2 and 3.

(vi) If it snows, then the weather will be cold.

(vii) If x is a real number such that 0 < x < 1, then x² < 1.