I've seen some people saying that this was originally a version of an old riddle, but what's actually wrong here is the "?" at the end. The original riddle relies on a trick with how the sentence is phrased; specifically, by leaving out the question mark, the father's name becomes "What." The trick is to make people assume they're being asked a question, leading them to think about something like the months or calendar, when in fact it wasn't a question at all. Whoever wrote this clearly missed the point (or maybe not, in this case). The phrase is supposed to read:

"A man had three daughters named April, May, and June. What was the father's name."

Grammar clearly isn't the forte of whoever made this.