InterviewSolution
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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 outside, then you feel thirsty. |
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Answer» (i) Statement p can be written as follows. If a positive integer is prime, then it has no divisors other than 1 and itself. The converse of the statement is as follows. If a positive integer has no divisors other than 1 and itself, then it is prime. The contrapositive of the statement is as follows. If positive integer has divisors other than 1 and itself, then it is not prime. (ii)The given statement can be written as follows. If it is a sunny day, then I go to a beach. The converse of the statement is as follows. If I go to a beach, then it is a sunny day. The contrapositive of the statement is as follows. If I do not go to a beach, then it is not a sunny day. (iii) The converse of statement r is as follows. If you feel thirsty, then it is hot outside. The contrapositive of statement r is as follows. If you do not feel thirsty, then it is not hot outside. |
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