Deshawn is given the following conjecture. How can he determine whether the conjecture is true? The first and third digits of a three-digit number are the same. If the second digit is equal to the sum of the first and third digits, then the number must be
divisible by 11.
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Use a comma to separate answers as needed.)
O A. There are too many numbers whose digits fit the given pattern for testing each to be practical. The four smallest such numbers are None of these is
divisible by 11. This means there is at least one counterexample, and so the conjecture is false.
OB. There are too many numbers whose digits fit the given pattern for testing each to be practical. The four smallest such numbers are Of these, only
is/are divisible by 11. This means there is at least one counterexample, and so the conjecture is false.
OC. The only number(s) whose digits fit the given pattern is/are Each of these is divisible by 11, so the conjecture is true,
OD. The only number(s) whose digits fit the given pattern is/are None of these is divisible by 11. This means there is at least one counterexample, and so
the conjecture is false.
O E. The only number(s) whose digits fit the given pattern is/are Of these, only is/are divisible by 11. This means there is at least one counterexample
and so the conjecture is false.
OF. There are too many numbers whose digits fit the given pattern for testing each to be practical. The four smallest such numbers are Each of these is
divisible by 11. It can be assumed the pattern continues, so the conjecture is true.