Question

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 sum of table points of Kolkata and Delhi and sum of the matches were won by them both?

1. 10 points, 2 matches
2. 15 points , 3 matches
3. 20 points, 4 matches
4. 25 points ,5 matches
5. 15 points, 4 matches

Answer 1

Correct Answer - Option 1 : 10 points, 2 matches

Given :

Number of matches drawn between Kolkata and Delhi = 2 matches

Delhi and Kolkata have won matches equally 

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

Number of matches played in home = 6 

Total number of matches played = 12 

Total matches won by Mumbai and Chennai = 5 + 3 = 8 

Number of matches drawn = 2 

Total matches won by Kolkata and Delhi = 12 - ( 8 + 2) = 2

Sum of the matches won by them both = 2

the sum of table points of Kolkata and Delhi  = 5 × 2 = 10 points

∴ The sum of table points of Kolkata and Delhi  is 10 points and the sum of the matches were won by them both is 2 matches