Question 125
Michael is a good chess player. He took part in a competition where all the best chess players of the city were invited. The competition had two stages. After the first stage, looking at the partial results, Michael found that the number of players ranked higher than him was a half of the number of players ranked lower than him. In the second stage Michael played better; He managed to surpass four of the players that were ranked higher than him, after the first stage, but he was also surpassed by two ranked lower than him. So, at the end of the competition, the final results showed that the number of players that were ranked higher than him was a quarter of the number of players that were ranked lower. What place did Michael get at the end of the competition? (Justify your answer!)