SOLUTION IF #10 IS EITHER HEAVY OR LIGHT

 

Here is solution if Unique Weight was number 10 and Heavy
(followed by solution if it was Light).

Weigh #1
Place 1 2 3 4 on Left Place 5 6 7 8 on Right
Scale would be in balance so Solver knows Unique is either 9 10 11 or 12

Weigh #2
Place 1 and 9 on Left and Place 11 and 12 on Right
Scale would be in balance
So Unique weight must be 10 as Heavy or Light

weigh#3
Solver would place 9 (a known Standard) on one side and 10 on the other side.
It would reveal that 10 is Heavy.
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Now assume instead that 10 is Light
All 3 Weighs would be as above except now Weigh#3
would reveal that the unique weight number 10 is Light.


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