isoifer,
Thanks for the question! The problem with answer choice (E) is that it is not valid reasoning, while the stimulus is. Answer choice (E) says: "Only teachers at the Culinary Institute are allowed to use the main kitchen of the institute. Dinners at Cafe Delice are usually prepared by Culinary Institute teachers. So dinners at Cafe Delice must sometimes be prepared in the main kitchen of the Culinary Institute." But this conclusion doesn't follow. I could represent the premises thusly:
Use main kitchen
teachers at culinary institute
Dinner at Cafe D
prepared by culinary institute teachers
This doesn't really tell us much of anything. It means that dinners prepared in the main kitchen are from culinary institute teachers, but it doesn't tell us that is the
only place they can prepare them...and so the conclusion "dinners at Cafe Delice must sometimes be prepared in the main kitchen of the Culinary Institute" isn't true...it could be that they are prepared by culinary institute teachers somewhere else. Because the reasoning for (E) is invalid, while the reasoning for (A) is valid, (E) cannot be the credited answer.
Hope that helps!
Alex