This question is based on logic.
As given, there are three friends, Jose, Michael, and Andrea. They are playing a game where each decides to be either a liar or a truth teller. A liar must always lie and a truth teller must always tell the truth.
As Michael stated, "Jose said that he is a liar." this means Michael is a truth teller because as per the game rule, he is telling the truth. So this gives Jose as a liar.
Andrea said, " If one of us is a liar, then we are all liars." This makes Andrea a liar as Michael's statement already proved that he is the truth teller.
Hence, Michael is a truth teller and Jose ans Andrea are liars.