Question

Four teams-P, Q, R, S-play in a tournament. Each team plays exactly one match against each other team. P wins against Q and R. S wins against Q. R wins against S. Which team has the most wins?

• A. P
• B. Q
• C. R
• D. S
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Hint:

In tournament questions, track each team’s wins and losses systematically, ensuring all matches are accounted for to find the team with the most wins.

Answer 1

The Correct Option is A

- Step 1: List matches. Each team plays 3 matches (P vs Q, P vs R, P vs S, Q vs R, Q vs S, R vs S). Total matches: $4 \times 3 \div 2 = 6$.
- Step 2: Assign wins. P wins vs Q and R (2 wins). S wins vs Q (1 win). R wins vs S (1 win).
- Step 3: Determine remaining matches. Matches: P-Q (P wins), P-R (P wins), P-S, Q-R, Q-S (S wins), R-S (R wins).
- Step 4: Assign P-S and Q-R. Assume P wins vs S (P: 3 wins). Assume R wins vs Q (R: 2 wins).
- Step 5: Tally wins. P: 3 (Q, R, S). R: 2 (S, Q). S: 1 (Q). Q: 0.
- Step 6: Verify. All matches covered: P-Q (P), P-R (P), P-S (P), Q-R (R), Q-S (S), R-S (R). P has the most wins.
- Step 7: Final conclusion. Option (1) P is the correct answer.
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