SOLUTION IF #6 IS EITHER LIGHT OR HEAVY

 

Here is the Solution if the unique weight is number 6
and is LIGHTER than all the others (followed by Solution if
it was HEAVIER than all the others).

Weigh#1
Place 1 2 3 4 on Left and Place 5 6 7 8 on Right
Either 1 2 3 or 4 is Heavy or 5 6 7 0r 8 is Light

Weigh#2
Place 1 2 6 on Left and Place 3 4 5 on Right
Either 1 2 or 6 is Light OR 3 4 or 5 is Heavy
Must be 6 is Light or 3 or 4 is Heavy

Weigh #3
Place 3 on Left side of scale and Place 4 on Right side
Scale is in balance
Therefore 6 is the Unique one and is Light
******* Here is SOLUTION if weight number 6 is Heavy

Weigh #1
Place 1 2 3 4 on Left side Place 5 6 7 8 on Right
Solver now knows Unique Weight is either 1 2 3 or 4 as LIGHT
OR 5 6 7 or 8 as Heavy

Weigh #2
Place 1 2 6 on Left Place 3 4 5 on Right
Left side is Heavy OR Right side is Light
Analyze previous Weigh resultS
It must be that 3 or 4 is Light or 6 is Heavy

Weigh #3
Place 3 on Left AND Place 4 on Right
Scale is in balance
Therefore it is 6 being Heavy

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