> Cow, hen, pig, sheep.
> The standard answer is supposed to be hen, as it is the only bird. But that is not the only possible correct answer. For example, pig is the only one whose meat is not kosher. And, look, sheep has five letters while the rest have three.
These types of questions irritate the theoretician in me as well, but to play devil's advocate a bit, are they really illegitimate questions? I would guess that your ability to correctly answer an "ambiguous" question like that measures your ability to effectively communicate with other humans, who regularly speak in ways that require the listener to resolve ambiguities that are at LEAST as severe as the farm animal question. If you think hard enough about it, sure, you can come up with a justification for any of the four answers (trivially, a cow is a cow and the other three choices are non-cows), but I would say that if you truly can't come up with the answer to that question that they "want" (barring any possible cultural reasons for not being able to do so), your intuition for pattern recognition could probably use some work.
This is not to defend IQ tests in general; I'm only arguing that ambiguous questions may measure something meaningful about your ability to learn or process information.