13. In a football tournament of repeated games between two teams, team A scored more
goals while team B won more games. What can you conclude?
a. Team B won more games in the first half of the tournament
b. Team B scored more goals first half of the tournament
c. Team A had larger goal victory margins in the games they won
d. Team B had larger goal victory margins in the games they won
Team A scored more goals overall, but Team B won more games. The logical conclusion is option c: Team A had larger goal victory margins in the games they won.
Option Analysis
Option a: Claims Team B won more games in the first half. No tournament timing details exist, so this cannot be concluded.
Option b: States Team B scored more goals in the first half. Total goals favor Team A across all games, with no half-specific data.
Option c (Correct): Team A wins fewer games but scores more total goals, meaning higher margins (e.g., 5-0 vs. Team B’s 1-0 wins). This balances totals while B secures more victories.
Option d: Suggests Team B had larger margins. This contradicts Team A’s higher goal totals, as B’s frequent narrow wins limit their aggregate.
In the intriguing football tournament puzzle where team A scored more goals yet team B won more games, logical reasoning reveals key insights into match margins and scoring patterns. This classic conundrum tests analytical skills, common in competitive exams.
Why Team A Scored More Despite Fewer Wins
Team B racks up wins through narrow margins like 1-0 or 2-1, securing more victories. Team A, however, dominates fewer games with blowouts such as 4-0 or 5-1, boosting total goals. Example scores over 10 games:
| Games | Team A Score | Team B Score | Winner | A Goals | B Goals |
|---|---|---|---|---|---|
| 4 | 5-1, 4-0, 4-0, 3-0 | – | A | 16 | 1 |
| 6 | 0-1 x6 | 1-0 x6 | B | 0 | 6 |
| Total | – | – | A: 4 wins | 16 | 7 |
Team A totals more goals (16 > 7) from larger victory margins.
