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Comprehension

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?


1. 14 & 7
2. 18 & 9
3. 8 & 4
4. 12 & 6
5. 13 & 7

1 Answer

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Best answer
Correct Answer - Option 4 : 12 & 6

Given:

Total number of teams = 4 

Number of times each team play against each other = 2 times 

Calculation:

Let us take the four teams to be A, B, C, D

Matches played at home = A-B, B-C, C-D, D-A, A-C, B-D      ----(i)

Total matches at home  = 6 matches 

Total matches at away = 6 matches 

Total number of matches played in tournament = 12 matches 

From (i)

Matches played by A in-home = 3 matches 

Matches played by A in away  = 3 matches 

Total matches played in tournament by A = 6 matches 

similarly, 6 matches will be played by each team

 ∴ The total number of matches played in the tournament is 12 matches and 6 matches were played by each team

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