So how should you prepare yourself for these situations? It is simply stated but harder to actually put into practice. Keep your cool, ask pertinent questions and deliver an example of a thought process you would follow to find the solution. If an interviewer is being aggressive and challenging you, be professional and answer the questions to the best of your ability. To fill every pool in the United States discuss the process you would go through to find the answer in a calm and logical way. To answer the hypothetical ask any questions necessary to get the information you need and attempt to present a solution.
You don't have to be exactly correct to ace these tough situations. Employers don't expect you to know everything before you start, but they do expect you to keep your cool.
For practice for responding to these non-traditional questions, please make an appointment with a Career Advisor.