Question

What can be the sum of maximum points scored by the team which came $1^{st}$ and the team which came last?
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Answer 1

If the first team won all the matches, then the points scored by the team finishing $1^{st}$ will be 84.

Now consider all the other matches end in a draw

Total points = 336 - 84 = 252

Dividing these points equally among the last 7 teams, we get $\frac{252}{7}=36points$

Total points scored by $1^{st}+8^{th}$ team = 84 + 36 = 120.