Classify each of the following statements as true or false. If false, show a counterexample that makes it false.b. If a number is divisible by 3, then every digit of the number is divisible by 3.b. Select the correct choice below. A. The statement is false; the number 1,767 is divisible by 3 but the individual digits are not. B. The statement is false; the number 369,963 is not divisible by 3 but each digit is divisible by 3. C. The statement is true; a number is divisible by 3 if, and only if, the digits are divisible by 3. D. The statement is true; every digit must be divisible by 3 for the number to be divisible by 3.