Final answer:
The method method0202(5) doubles the count variable four times, starting from 1 and resulting in a value of 16 when returned.
Step-by-step explanation:
When using the method method0202(5), it initially sets count to 1. Then, for every integer q starting from 1 and incrementing by 1 up to but not including p (which is 5), it doubles the count. The for-loop runs four times (q = 1, 2, 3, 4), so count doubles four times: 1 (initial), 2, 4, 8, 16. Therefore, when the loop is finished, and count is returned, the value will be 16.