What are the inverse of the conditional statement “ A positive integer is a composite only if it hasdivisors other than 1 and itself.”(a) “A positive integer is a composite if it has divisors other than 1 and itself.”(b) “If a positive integer has no divisors other than 1 and itself, then it is not composite.”(c) “If a positive integer is not composite, then it has no divisors other than 1 and itself.”(d) None of the mentionedThe question was posed to me in an interview.My enquiry is from Logics in chapter The Foundation: Logics and Proofs of Discrete Mathematics

What are the inverse of the conditional statement “ A positive integ

1.	What are the inverse of the conditional statement “ A positive integer is a composite only if it hasdivisors other than 1 and itself.”(a) “A positive integer is a composite if it has divisors other than 1 and itself.”(b) “If a positive integer has no divisors other than 1 and itself, then it is not composite.”(c) “If a positive integer is not composite, then it has no divisors other than 1 and itself.”(d) None of the mentionedThe question was posed to me in an interview.My enquiry is from Logics in chapter The Foundation: Logics and Proofs of Discrete Mathematics
Answer» The correct choice is (C) “If a positive INTEGER is not composite, then it has no divisors other than 1 and itself.” For explanation I would say: P only if Q has inverse ¬p → ¬q.

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