A series of eight games, numbered G1 to G8r is organized as part of a college fest. In each game, only four players - A, B, C, D - participate and only one of them emerges as the winner. Five persons - P, Q, R, S, T - from among the audience took part in a contest wherein each person predicts the winner of each of the eight games in the series.
A person gets $300 for the right prediction and loses $100 for a wrong prediction. The following table gives the predictions of each of the five person as to who the winners would be. For example in game G1, R predicted player B to win, while both P and T predicted player C to win and both Q and S predicted player D to win.
At the end of eight games, it turned out that if any person had predicted that a single player would win each of the eight games, he would not have gain or lost any amount. At the end of the series of eight games, Q received the maximum amount of $1600, while T neither gained nor lost any amount. Had R made one more correct prediction and Q made one more incorrect prediction, the amounts gained by them at the end of the games would have interchanged.
1. The amount gained by P at the end of the eight games is
d. Cannot be determined.
2. How many correct predictions made by S?
3. In how many of the games was the winner not a player predicted by any of the five person?