Cogitème’s logic games

round the circle, roundabout
Roundabouts
straight in the row, row
Rows
championship
Championships
logic system
Logic Systems

Solved examples

Basketball tournament

This type of question relies on the bracket system of a tournament where after each match, one team advances. So, there are two semi-final matches where one team from each match advances to the final to play the winner from the other semi-final match. There is then one winner from the final match who is the tournament winner.

The basketball season is nearly over. The states that have made it to the semifinals of the basketball tournament are: Wisconsin, Florida, Oregon and Missouri.
(1) No match was played between Florida and Wisconsin.
(2) Oregon was defeated by Missouri.
(3) No match was played between Florida and Oregon.

Step 1:

Since there was no match between Florida and Wisconsin (1) and there was no match between Florida and Oregon (3), Florida must have played Missouri in the semi-finals and Wisconsin must have played Oregon.
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?
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Florida Wisconsin
Missouri Oregon

Step 2:

Since Oregon defeated Missouri (2) and since these teams did not play each other in the semi-final match (step 1), Oregon and Missouri must have both advanced to the finals.
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Oregon
Missouri
Florida Wisconsin
Missouri Oregon

Step 3:

Finally, Oregon was defeated by Missouri (2), so Missouri must have won the tournament.
Missouri
Oregon
Missouri
Florida Wisconsin
Missouri Oregon