Final answer:
The conclusion of the conditional statement "A number is divisible by 3 if the sum of the digits of the number is divisible by 3" is that the number itself is divisible by 3, which corresponds to option C: "If the sum of the digits of a number is divisible by 3, then the number is divisible by 3."
Step-by-step explanation:
The question asks for the conclusion of a conditional statement: "A number is divisible by 3 if the sum of the digits of the number is divisible by 3." The conclusion of a conditional statement is the part that follows "if." Here, the conclusion is what we can assert when the hypothesis (the sum of the digits of a number being divisible by 3) is true. Thus, the conclusion is "The number is divisible by 3." Option C, "If the sum of the digits of a number is divisible by 3, then the number is divisible by 3" is a restatement of the entire conditional statement, making it the correct choice. The reason why this is the answer is tied to the rule that governs divisibility by 3. A number is indeed divisible by 3 if the sum of its digits is divisible by 3, which makes the conclusion directly relevant to the given conditional statement. Other options, such as a number being odd, or the statement simply being about the sum of digits, are not conclusions derived from the hypothesis. They are either unrelated (option B) or a part of the hypothesis itself (option D).