Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Is it significant that the appliance is a table lamp?
Yes
ok,we break the glass on the globe in the lamp,making sure we don’t break the filament.We drape the curtains over the broken lamp,and go to the other room.We trey a switch a a time,waiting for 10 minutes between each.If the other room catches fire,we know we have found the right switch!
Not as extreme but you are thinking along the right lines. Remember you can only make one trip. Once you have left the first room there is no going back!
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
There is a panel with three switches. One controls the table lamp next door. They all look identical and there is no way that you can see which switch activates the lamp until you leave the room and enter the next room.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
You may be right. You lost me a little with your naming methodology.
here is my answer:
Number the balls 1, 2, 3….., 10, 11, 12
Weigh 1, 2, 3, 4 vs 5, 6, 7, 8 with 3 possible outcomes:-
1/ If they balance then 9,10,11,12 have the odd ball, so weigh 6,7,8 vs 9,10,11 with 3 possible outcomes:-
i/ If 6,7,8 vs 9,10,11 balances, 12 is the odd ball. Weigh it against any other ball to determine if heavy or light.
ii/ If 9,10,11 is heavy then they contain a heavy ball. Weigh 9 vs 10, if balanced then 11 is the odd heavy ball, else the heavier of 9 or 10 is the odd heavy ball.
iii/ If 9,10,11 is light then they contain a light ball. Weigh 9 vs 10, if balanced then 11 is the odd light ball, else the lighter of 9 or 10 is the odd light ball.
2/ If 5,6,7,8 > 1,2,3,4 then either 5,6,7,8 contains a heavy ball or 1,2,3,4 contains a light ball so weigh 1,2,5 vs 3,6,12 with 3 possible outcomes:-
i/ If 1,2,5 vs 3,6,12 balances, then either 4 is the odd light ball or 7 or 8 is the odd heavy ball. Weigh 7 vs 8, if they balance then 4 is the odd light ball, or the heaviest of 7 vs 8 is the odd heavy ball.
ii/ If 3,6,12 is heavy then either 6 is the odd heavy ball or 1 or 2 is the odd light ball. Weigh 1 vs 2, if balanced then 6 is the odd heavy ball, or the lighest of 1 vs 2 is the odd light ball.
iii/ If 3,6,12 is light then either 3 is light or 5 is heavy. Weigh 3 against any other ball, if balanced then 5 is the odd heavy ball else 3 is the odd light ball.
3/ If 1,2,3,4 > 5,6,7,8 then either 1,2,3,4 contains a heavy ball or 5,6,7,8 contains a light ball so weigh 5,6,1 vs 7,2,12 with 3 possible outcomes:-
i/ If 5,6,1 vs 7,2,12 balances, then either 8 is the odd light ball or 3 or 4 is the odd heavy ball. Weigh 3 vs 4, if they balance then 8 is the odd light ball, or the heaviest of 3 vs 4 is the odd heavy ball.
ii/ If 7,2,12 is heavy then either 2 is the odd heavy ball or 5 or 6 is the odd light ball. Weigh 5 vs 6, if balanced then 2 is the odd heavy ball, or the lighest of 5 vs 6 is the odd light ball.
iii/ If 7,2,12 is light then either 7 is light or 1 is heavy. Weigh 7 against any other ball, if balanced then 1 is the odd heavy ball else 7 is the odd light ball.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
Comments may not be relevant to individual circumstances. If you intend making any investment, financial or taxation decision you should consult a professional adviser.
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