In which of the following situations would you be most likely to write a problem-and-solution essay? movie viewing family gathering slumber party business meeting

Among the four choices, you can easily write a problem-and-solution essay during "movie viewing". Since in a movie, a storyline is involved which consists of a problem at the beginning and a solution at the end. This allows you to easily identify the problem and then wait for the solution at the climax or at the end of the movie.  

Expostion, rising action, climax, falling action, resolution