Statement the converse and contrapositive of each of the following statements:
A positive integer is prime only if it has no divisors other than $1$ and itself.

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Solution

CONVERSE: If an integer has no divisor other then I and itself, then it is prime.

CONTRAPOSITIVE: If an integer has some divisor other than I and itself, then it is not prime.

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Similar questions

1

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.

State the converse and contrapositive of each of the following statements :

(i) If it is hot outside, then you feel thirsty.

(ii) I go to a beach whenever it is a sunny day.

(iii) A spositive integer is prime only if it has no divisors other than 1 and itself.

(iv) If you live in Delhi, then you have winter clothes.

(v) If a quadrilateral is a parallelogram, then its diagonals bisect each other.

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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