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Logic Puzzle # 80 Logic Problems Help

Logic Problem Solution:
State Football Playoffs

By clue 1, in one semifinal game, Ocean City walloped Winterhaven 39-12, so Ocean City played in the state championship game. Summerset was a quarterfinal winner (5); and since Longreach won 34-14 over the Comets in one game (7), Longreach must have have met Summerset in the semifinals. By clue 5, two of the semifinal teams were the Owls and Rough Riders. Since the Eagles (3) and Hawks (9) also won games, they must be the other two semifinal teams. The teams which lost quarterfinal games are the Comets (34-14 to Longreach, by clue 7), Pioneers, Spartans, and Tigers. By clue 3, the Eagles total victory margin in game(s) they won was 14 points; they can't be Ocean City (1) or Longreach (7) and aren't Winterhaven (10). The Eagles are from Summerset. Long Reach can't be the Hawks, since the Hawks win over Grove Corners had to be in the quarterfinals and was by a 7-0 margin (9). Ocean City isn't the Hawks (4); Winterhaven is, and they beat Grove Corners 7-0 in the quarterfinals. Since the Spartans 21-point loss (6) was in a quarterfinal game, and since the Summerset Eagles total victory margin was 14 points (3), the Spartans lost to Ocean City. The Pioneers did not get shut out (11), so they aren't Grove Corners (9). The Pioneers lost to Summerset in the quarterfinals. By elimination, Grove Corners are the Tigers. Farmington lost in the quarterfinals by 6 points (2) and thus aren't the Spartans (6) or Comets (7); they are the Pioneers. Cozy Valley are the Comets (8) and Springhill the Spartans. Ocean City are the Owls (13) and Longreach the Rough Riders. Since Summerset defeated Farmington by 6 points and also had a 1-point win (12), the Summerset Eagles must have won a game by 7 points to total 14 points in victory margin (3). Summerset therefore won three games and are state AAA football champions, defeating Ocean City High in the final game. The state football playoff results are as follows:

  • Quarterfinals:
    • Summerset Eagles def. Farmington Pioneers
    • Longreach Rough Riders def. Cozy Valley Comets
    • Ocean City Owls def. Springhill Spartans
    • Winterhaven Hawks def. Grove Corners Tigers
  • Semifinals:
    • Summerset Eagles def. Longreach Rough Riders
    • Ocean City Owls def. Winterhaven Hawks
  • Finals:
    • Summerset Eagles def. Ocean City Owls

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