There are many different ways interviews can be conducted, including face-to-face, distance, group, and performance . which style would you prefer the most? why? which style would you prefer the least? why?

If your asking personally, I would say face to face because it provides an opportunity to closely examine the person your interviewing. You get to see their facial reactions, body language and tone of voice to see if they fit the criteria your looking for. I say the least favored would be distance because distance interviews can go wrong in so many ways. You have to set up times and those can be messed up. You can't tell if the person your are interviewing is putting up a front, their professional at first, but once you hire them that become a nightmare! This is all based off of personal choice though, I would say go for the easiest interview method for you.

Food or dance it basically asking to write a paper on a step by step process

Nope but maybe you should study