Inventiveness Interview Questions

If you are given a specific problem to solve, how do you decide what information is necessary to come up with a good solution?
What steps do you take when you have to make an immediate decision and you do not feel you have all the relevant or necessary information?
When you need to create an order of job tasks that need to be completed, how do you decide which task has priority?
You need information, and access to it is being denied to you. What steps do you take to acquire the information?
When was the last time you used an inventive method to draw out company resources beyond a level that is usually met?
When you are working, how often do you think of innovations that will improve your work performance?
What if there was a person you intensively disliked within your work team, yet you sense that this person is going to be the most creative in bringing the assignment to an effective conclusion. What steps do you take to nurture their contribution and demonstrate that you value their input?