What FJ is talking about, with the multimeter, is called measuring "continuity".
In Castellano, I am not sure what they would call it.
But it requires removing the fuse- and, if some of them belong to your neighbors, and they are not labeled, you risk the anger of your neighbors at coming home and finding things resetting, and angry green and red lights blinking on answering machines, digital clocks, and other electronics.
But if the style of fuse has no outward sign of failure, there is no other way to find out than to remove them and test them, especially if you dont know which ones are for your apartment.
Not all multimeters have a continuity function. You would need to know enough about meters to know if the one you were using has it, and then you can test the continuity of each fuse. Some meters will just show a digital sign, usually OO.OO, and others will have a beeping tone, or lack thereof.
Best policy I can think of is find somebody in the building who knows which fuses are whose. This cant be the first time a fuse has blown, so probably other neighbors know whose are whose. Then, you would pull ALL of the ones that are yours, and take them to a decent ferreteria- not one that specializes in dustpans and plastic clothes hangers, but one that actually knows electricity, and carries a lot of electrical supplies. In my neighborhood, that would be the one on Guemes, near Vidt. They have meters, and they can test the fuses for you, and tell you which one is bad, and sell you a new one.
There are good ferreterias like this all over town, but it takes some figuring to find the right one- some specialize in tools, others in door hardware, others in domestic knicknacks, and a few in electrical.
Personally, I wouldnt buy a multimeter if I were you (I own at least 4, including two Flukes that each cost well over $500 pesos- and that is in the US- I shudder to think what a decent Fluke brand meter would cost in BsAs, but it sure would be more than twenty five pesos) - instead, I would take all suspect fuses to be tested, for free, at a store.
Much cheaper than paying an electrician, but it does require some detective work to isolate which ones are most likely to be the culprits, as opposed to the one running your neighbor's illicit server that is hosting online gambling for all of north america...