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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. 

In a match, Mumbai won Delhi by the difference of 6 points and Delhi got 2 points to find the ratio of goals scored by Mumbai and Delhi. 


1. 3 : 2
2. 9 : 4
3. 8: 3
4. 4 : 5
5. 1 : 1

1 Answer

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Best answer
Correct Answer - Option 1 : 3 : 2

Given:

Mumbai and Delhi game points difference = 6 points 

Delhi game points = 2 points

Game points for hitting a goal = 2 points 

Game points for conceding a goal = -1 point

Calculation:

Let the number of goals by Delhi and Mumbai  be x and y  

Mumbai game points =  2 + 6 = 8 points 

Difference between the game points = 6 points 

Mumbai Game points = 2y - x = 8       ----(i)

Delhi game points = 2x - y = 2       ----(ii)

multiplying equation (i) by 2

4y - 2x = 16      ----(iii)

adding with equation (ii) and (iii)

(4y - 2x) + (2x - y) = 16 + 2

3y = 18 

y = 6 

then substitute y value in equation (i)

x = 4

the ratio of goals = 6 : 4 = 3 : 2

∴ The ratio of goals scored by Mumbai and Delhi is 3 : 2

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