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.
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.

(I) Statement \[p\]can be written in the structure ‘assuming’ is as per the following

Assuming a positive number is prime, it has no divisors other than \[1\] and itself

The opposite of the assertion is given beneath

On the off chance that a positive number has no divisors other than \[1\] and itself, it is prime.

The contrapositive of the assertion is given underneath

In the event that a positive whole number has divisors other than \[1\] and itself, it isn’t prime.

 

(ii) The given assertion can be composed as follows

In the event that it is a bright day, I go to a sea shore.

The opposite of the assertion is given underneath

Assuming I go to a sea shore, it is a radiant day.

The contrapositive of the assertion is given beneath

On the off chance that I don’t go to a sea shore, it’s anything but a bright day.