With both of your examples (and many others I've come across) those question type captchas can be done with a quick ping to Google and a sanity check on the answer
"what popular figure comes through your chimney in December" -> "Santa Claus - Wikipedia, the free encyclopedia"
"what's 1+1" -> "2"
They only really work if maybe the question is in the market of the site you're registering for "What's <some popular guy on site>'s last name" etc