The "Curious" Badge is awarded when you "ask a good question on 5 separate days, and maintain a positive question record." What is meant by "good question" in this? It's not the score of 25 required of a "Good Question;" is it just questions with positive net votes?
A well-received question is a question that isn't closed, isn't deleted, and has score>0.
A positive question record is defined by the formula:
(total questions - negative questions - closed - deleted)/total questions >= 0.5
(A question that is negatively scored, and closed, and then deleted, will count triple.)