To find the number of ways these questions can be answered, we need to consider that each question has two possible answers: "yes" or "no."
Since there are 12 questions, we can calculate the number of ways by multiplying the number of choices for each question together.
Therefore, the total number of ways the questions can be answered is 2^12, which is equal to 4096.
So, the correct answer is option C: 4096.