While I don't always appreciate some questions, neither do I let them ruin my day or dictate my mood.
I dislike questions that have definite answers that can be found by going to Google or one of the other search engines of one's' choice. It strikes me as laziness on the part of anyone who asks a question that could be easily answered with 5 minutes or less of research. Why does anyone think we should all do their research for them?
I prefer questions that are mostly, and ideally, asking for opinion. Often times there is no right or wrong to opinion, there is simply different opinion.
Of course opinion that disregards facts is another matter. One is entitled to their own opinion but not to their own facts. I've noticed a lot of people like to treat facts they dislike as if they were opinion instead of fact. I think that is because an awful lot of people are confused about what is fact and what is opinion. I wrote an article about that, incidentally, to help people understand the difference.
Anyway, questions that can easily be answered with just a couple of minutes of research on Google are the sort that I find irritating. I'm surprised that after all these years computers and the Internet have been around, so many people do not know how to research a question they have. It isn't just older people who are computer/Internet illiterate. In fact many older people have embraced the Internet and enrich their lives with it everyday. It has been a blessing I think, to many people who are shut-ins. What surprises me is the number of young people who are computer illiterate (under 60).