Well, from what I understood from the text (which were mostly the symbols, my Spanish sadly isn't what it used to be), this looks exactly like the tests I used to get in my Advanced Logic class (which was offered in my Philosophy department, mind you), and I'm a philosophy major. So I'd say he/she would just do the test (and enjoy it a heck of a lot too, in my case). :) Look, I think I understand what you're trying to say here, and admittedly some, and maybe even a lot of philosophy majors probably detest the subject of Formal Logic, but most, if not all trained (analytic) philosophers these days have a very decent background in Logic, and not just the syllogism-stuff, I'm talking Formal Logic here, very similar in nature to the stuff you would encounter in your average Computer Science curriculum. I'm sorry, but I think you might have to revise your beliefs about Philosophy a bit, it sounds like you've experienced the bad stuff (of which there is quite some to be found, I'll be the first to admit), and not the Philosophy I'm familiar with.

Any good Philosophy department offers advanced classes in Logic, and let me tell you, what they teach you there is nothing like Aristotelean syllogisms, my good sir. In fact, I believe most Philosophy departments have a compulsory Introductory Logic course wherein all Philosophy students are taught the basics of propositional and predicate calculus (I know my department has, it's what got me started on Logic). Your university's Philosophy department must not be very good if the Philosophy majors ran away after an explanation of what counts as a well-formed formula in propositional logic...