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Directions: In a football tournament. There are four football teams Chennai, Mumbai, Delhi, and Kolkata each will play against each other Two times.
1. One match will be in-home and another match will be away.
2. Each team will get 2 game points when they hit a goal and they will lose 1 game point when they concede a goal.
3. A team will get 5 points in winning a game. To qualify for finals a team should get above 10 points.
Note:
(i) Team Chennai won 3 matches Mumbai won 5 matches and Delhi and Kolkata have won the remaining matches equally.
(ii) Two match between Kolkata and Delhi is drawn due to the equal number of goals.
What is the total number of matches played in the tournament? and how many matches were played by each team?
14 & 7
18 & 9
8 & 4
12 & 6
13 & 7
- In the tournament, each team plays each of the other three teams twice (home and away).
- So, there are \(3 \times 2 = 6\) matches for each team.
- In total, there are 4 teams: Chennai, Mumbai, Delhi, and Kolkata.
- Therefore, the total number of matches is: \((4 \times 3) = 12\).
- As outlined, Chennai won 3 matches, and Mumbai won 5 matches.
- Delhi and Kolkata won the remaining matches equally, with their head-to-head games being drawn.
- Thus, each of them won \(\frac{12-(3+5)}{2} = 2\) matches.
Given this breakdown, we find that:
- Each team plays 6 matches (home and away against each of the three other teams).
Option:4, 12 & 6
By: Parvesh Mehta ProfileResourcesReport error
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