(i) A compound statement is made up of two or more statements (Components).

As a result, the elements of the provided statement “57 is divisible by 2 or 3” are as follows:

p: 57 is divisible by 2.

q: 57 is divisible by 3.

The supplied compound statement now takes the form P V Q, which has the truth value T whenever either P or Q, or both, are true.

As a result, the given assertion is correct.

(ii) A compound statement is made up of two or more statements (Components).

As a result, the parts of the provided sentence “24 is a multiple of 4 and 6” are as follows:

p: 24 is a multiple of 4.

q: 24 is a multiple of 6.

Both the p and q components are now true. Because 24 is a multiple of both 4 and 6, it is a prime number.

As a result, the given assertion is correct.