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State the converse and contrapositive of each of the following statements: (i) p : A positive integer is prime only if it has no divisors other than 1 and itself. (ii) q : I go to a beach whenever it is a sunny day. (iii) r : If it is hot outs

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(i) Given statement : a positive integer is prime only if it has no divisors other than 1 and itself.
Converse: if a positive integer has no divisors other than 1 and itself, then it is a prime.
Contrapositive : if positive integer has divisors other than 1 and itself, then it is not prime.
(ii) Given statement : I go to a beach whenever it is a sunny day.
Converse : if I go to beach, it is a sunny day.
Contrapositive : if I do not go to beach, then it is not a sunny day.
(iii) given statement: if it is hot outside, then you feel thirsty.
Converse: if you feel thirsty, it is hot outside,
Contrapositive : if you do not feel thirsty. then it is not hot outside.
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