"I will determine which project requires my attention by the number of hours we are behind and then the project size. I am comfortable delegating tasks when needed, but I know these times will require an additional commitment of hours from me. Never have I underdelivered on a deadline."

Prioritizing is a skill that requires practice. There are many approaches you can take. Here are some suggestions:

1) Make a list. By thinking through and writing down each item that needs completion, you can see it on paper.
2) Mark what is urgent or essential. Take into account deadlines and meetings.
3) Order each task based on effort and estimated value. Considering due dates and how long it will take to do each item (also considering how much time you have).

In answering this question, show the interviewer that you have a system in place that helps you to think through what needs to happen, and when. The better you can prioritize, the more productive you will be, making you an asset to their company!

When you feel torn between multiple projects or tasks, break down how you decide which one needs your attention the most. Describe the conflict, how you track your progress, and your ability to pick up where you left off. Assure the interviewer that you can be diligent in assessing your priorities.

Multitasking means performing two high level cognitive tasks simultaneously. This is something the human brain is not capable of. However, the meaning extrapolated from multitasking is typically one's ability to switch back and forth from one task to another, your ability to prioritize their importance, and track your progress on each.