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Direction : Study the table chart carefully and answer the questions given beside.

Ten teams — Athletic, Barcelona, Celta, Deportivo, Eibar, Febla, Girona, Hergis, Indiana and Joltis — played a football tournament named La Liga, wherein every team played exactly one match with each of the other nine teams. Given below is an incomplete table which gives the results of the matches between the teams. For any team, a match can have only three results - win, draw or loss. The points awarded to a team for a win, draw and a loss are +3, 0 and –3 respectively. The team with the highest number of points at the end is the winner of the tournament.

 Teams Athletic Barcelona Celta Deportivo Eibar Febla Girona Hergis Indiana Joltis Total points Athletic ----- Deportivo Athletic –3 Barcelona Athletic ----- Barcelona 18 Celta Barcelona ----- Celta Tie 3 Deportivo Celta ------ Hergis Deportivo Eibar Eibar ----- –12 Febla Barcelona Tie ----- Febla Girona Tie Tie ---- 18 Hergis ----- Indiana Barcelona Indiana Tie ----- –3 Joltis ----- 3

The entry in any particular cell of the table gives the winner of the match between the corresponding two teams unless the cell contains a "Tie" which means that the match ended in a draw. Also the following information is available :

(I) Only five matches ended as draws.

(2) Hergis lost all its matches except one.

(3) The team which did not lose any match got a maximum number of points.

(4) The total number of points of Deportivo is greater than that of Eibar.
Important for :
1
Which team got the least number of points?
» Explain it
C
Common explanation: In the first column second row, 'Athletic' won the match between 'Barcelona' and 'Athletic'

⇒ We can also place 'Athletic' in the first row, second column.

By placing the teams In the grids which present above the dotted line, below it and Vice versa

We have six blanks for "Girona" and for each win a team gets '3' points and 'Girona' got '18; points

⇒ Girona won in all the remaining six games.

It is given that 'Hergis' won only in one match and from the table we know that 'Hergis' won against 'Deportivo'

⇒ Hergis lost all of its remaining matches.

⇒ Total no of points secured by Hergis = (3 × 1) + (8 × – 3) = – 21

Total no. of points 'Joltis got was '3'

And from the table 'Joltis' lost matches against Barcelona, Deportivo, Febla and Girona and won against 'Hergis'

To get total no of points as 3. 'Joltis' must win all the remaining matches against Athletic, Celta, Eibar and lndiana.

As of now the total no. of points Celta' got is '3'

To get ‘–12’ points Eibar must lose all the remaining four matches.

And to get ‘–3’ points 'Indiana' must lose the match against 'Febla'

And to get points 'Athletic' must lose against 'Febla and to equate the total no of points secured by 'Barcelona'. Barcelona must win against ‘Deportivo’ and the only match which is to be finalized is the match between Febla and Deportivo.

It ‘Febla’ wins that match the total no of points that ‘Deportivo’ got will be less than that of Eibar.

⇒  'Deportivo' won that match.

Hence, Team 'Hergis' got the least no. of points i.e., "– 21"

Therefore, option (C) is correct.

2
What is the difference between the maximum number of points scored by any team and the minimum number of points scored by any team?
» Explain it
B
The maximum and minimum no. of points scored by any team are '18' and "– 21" respectively.

∴ difference = 18 – (– 21) =  39

Hence, option (B) is correct.
3
Which of the following statements is definitely true?
» Explain it
C
Only option (c) is definitely true.

Hence, option (C) is correct.
4
The match between which of the following pairs of teams ended in a draw?
» Explain it
A
The match between Indiana and Girona ended in a draw.

Hence, option (A) is correct.
5
Find the total number of points of Hergis
» Explain it
A
See common solution and try yourself, make proper table and get the answer

Hence, option (A) is correct.
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