The Four-Club Football League
PRACTICEDirections: Read the information given below carefully and answer the 5 questions that follow.
Four local football clubs — P, Q, R, and S — participated in a round-robin tournament where each team played against every other team exactly once (a total of 6 matches in the tournament).
The points system is as follows:
* 3 points for a Win
* 1 point for a Draw (to both teams)
* 0 points for a Loss
At the end of the tournament, the organizing committee released a partial standings table:
| Team | Played | Wins | Draws | Losses | Goals For (GF) | Goals Against (GA) | Points |
|---|---|---|---|---|---|---|---|
| P | 3 | 4 | |||||
| Q | 3 | 4 | 5 | ||||
| R | 3 | 0 | 3 | 2 | |||
| S | 3 | 0 | 5 |
Note: 'Goals For' is the total number of goals a team scored in the tournament. 'Goals Against' is the total number of goals conceded by a team.
Additional Information:
1. The total number of goals scored in the entire tournament across all 6 matches was exactly 16.
2. Teams P and Q ended the tournament with the exact same number of points, and both teams won exactly one match.
3. P scored exactly 3 goals in its match against Q. Apart from this specific instance, no team scored 3 or more goals in any single match in the tournament.
4. The match between P and R ended in a goalless draw (0-0).
5. S's matches against Q and R both ended in draws, and neither was a goalless draw. Furthermore, the total number of goals scored in the match between S and R was exactly double the total number of goals scored in the match between S and Q.