Is it really possible for me to have a 'faulty' carbon monoxide alarm over and over again?

Here's the deal, my management company ( I live in an apartment in downtown Boston), installed a carbon monoxide alarm this past fall and since then it's randomly gone off 5 times - a month apart, each time. They claim that it's impossible for carbon monoxide to be there since the whole system isn't going off...but I mean, 5 times in 6months??? Each time I've called them and had to have someone come shut it off, take it down, and promise me they'll install a new one...and then the same thing happens. Anyone know how I can test to see if there really is carbon monoxide in my apartment? Anyone I can call? eg. fire dept This is just getting ridiculous....