To solve this question, the user needs to understand the basic control flow of the while loop and the concept of variable assignment.

The code initializes the variable k to 0 and the variable n to 12. The while loop continues running as long as the value of k is less than the value of n. In each iteration of the loop, the value of k is incremented by 1.

Since the loop runs 12 times, the value of k will be incremented 12 times. Therefore, at the end of the loop, the value of k will be equal to 12.

Now, let's go through each option and explain why it is right or wrong:

A. O: This option is incorrect because the value of k is incremented 12 times, resulting in a final value of 12, not 0.

B. 11: This option is incorrect because the value of k is incremented 12 times, resulting in a final value of 12, not 11.

C. 12: This option is correct. The value of k is incremented 12 times, resulting in a final value of 12.

D. -3: This option is incorrect because the loop increments the value of k by 1 each time, and the starting value of k is 0. Therefore, the value of k can never be negative.

The Answer is: C