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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.
In a match, Chennai has scored 2 goals more than Delhi. The game point of Chennai is 7 and Delhi is 1. What is the average of the two team goals?
1
2
3
4
5
Let’s break this down step by step:
- Each team plays every other team twice (home and away), so each team plays 6 matches.
- Scoring system: +2 points per goal scored, -1 point per goal conceded, +5 points per match win.
- Chennai won 3 matches; Mumbai won 5; Delhi and Kolkata split the rest (each won 2).
- Two matches between Delhi and Kolkata ended in draws: same number of goals.
- In one specific Chennai vs. Delhi match:
- Chennai scored 2 more goals than Delhi.
- Chennai’s game point = 7, Delhi’s game point = 1.
Here’s what really matters for the last bit:
- Let’s say Delhi scored x, Chennai scored x+2.
- For Chennai: (x+2)*2 - x*1 = 7 ? 2x + 4 - x = 7 ? x = 3 (so Chennai scored 5, Delhi 3)
- For Delhi: x*2 - (x+2)*1 = 1 ? 2x - x - 2 = 1 ? x - 2 = 1 ? x = 3 (matches above)
So:
- Chennai: 5 goals, Delhi: 3 goals.
- Average goal per team: (5+3)/2 = 4
Correct Option:
Option:4, 4
The rest:
- Option 1, 2, 3, 5 – these don’t fit the numbers above.
- All statements are consistent with the calculations.
- Draw matches info just confirms both teams are equal for those games, doesn’t affect this calculation.
If you get 4, you get the math and the rules. Nice work.
By: Parvesh Mehta ProfileResourcesReport error
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