What is the only US state to have an official "State Question"?

New Mexico. The question is, "red or green?"

https://en.wikipedia.org/wiki/List_of_New_Mexico_state_symbols

Interestingly the state question relates to a question oft heard at restaurants in the state. "Red or green?" refers to what kind of chili sauce customers would like with their meal.

This type of "chile" is usually distinct from salsa, as the chile sauce is much finer and thicker and more commonly served with meals. Natives are more likely to refer to the chili sauce put on their meal as just plain "chile", and not as any form of "salsa" (which is usually reserved by natives in English for the salsa served with chips; everything else is just "chile").

see the asterisked footnote on https://en.wikipedia.org/wiki/List_of_New_Mexico_state_symbols