Final answer:
Option (A), The statement is true; a conjunction with a contradiction as one of its conjuncts is always false due to the principle of noncontradiction.
Step-by-step explanation:
A conjunction which has a contradiction as one of its conjuncts is always false. The answer to this is A. True. By definition, a contradiction is a statement that is always false because it asserts both a statement and its negation at the same time.
According to the principle of noncontradiction, contradictory propositions cannot both be true in the same sense at the same time. For example, the statement "My dog is on her bed and my dog is not on her bed" cannot be true because these two conjuncts negate each other, making the conjunction false.