Correct option is B
Explanation:
If the H.C.F. of two natural numbers A and B is 1, it means that the only common factor between A and B is 1. This defines that A and B are coprime to each other.
Thus, the statement A, B are coprime to each other is always TRUE when their H.C.F. is 1.
Option A: A and B are even consecutive numbers. This is not always true, as consecutive numbers can be odd or even.
Option C: Product AB is a prime number. This is not necessarily true. The product of two coprime numbers does not guarantee a prime number.
Option D: A and B are both prime numbers. This is not always true as well. Coprime numbers need not be prime themselves.
Therefore, the correct answer is Option B: A, B are coprime to each other.