Modified 12 coins riddle?!
Question: Modified 12 coins riddle!?
i got a new riddle about 12 coins!.
you still have to find a 'fake' coin amongs them!. and you still have a scale to observe the fake coin!.because the fake coin has a different weight!.it may be lighter or heavier!.and you may only use the scale 3 times!. but you have to decide the combination of the 3 uses of the scale first before you can know the result of every scale weighting!.Www@Enter-QA@Com
you still have to find a 'fake' coin amongs them!. and you still have a scale to observe the fake coin!.because the fake coin has a different weight!.it may be lighter or heavier!.and you may only use the scale 3 times!. but you have to decide the combination of the 3 uses of the scale first before you can know the result of every scale weighting!.Www@Enter-QA@Com
Answers:
One solution is to label the coins with the letters FAKE MIND CLOT and weigh the coins in the following three combinations:
MA DO -- LIKE
ME TO -- FIND
FAKE -- COIN
Logic will now allow you to find the fake coin based on the three results!. For instance, if the results were left down, balanced, left down, we could work out which coin is fake in the following way:
From the middle weighing we know that the coins METOFIND are all normal!. So one of the coins ACKL is fake!. Therefore looking at these coins one at a time in the other two weighings, we can see that:
A - appears on the left twice and could be fake!.
C - appears only once, therefore can't be fake (otherwise the first weighing would be balanced)!.
K - appears on opposite sides, so it can't make the left side go down both times!.
L - appears only once, therefore can't be fake (otherwise the third weighing would be balanced)!.
Therefore the only possibility is A, which must be heavier!. Any other combination of ups and downs will allow you to use the same logic to find the fake coin!.Www@Enter-QA@Com
MA DO -- LIKE
ME TO -- FIND
FAKE -- COIN
Logic will now allow you to find the fake coin based on the three results!. For instance, if the results were left down, balanced, left down, we could work out which coin is fake in the following way:
From the middle weighing we know that the coins METOFIND are all normal!. So one of the coins ACKL is fake!. Therefore looking at these coins one at a time in the other two weighings, we can see that:
A - appears on the left twice and could be fake!.
C - appears only once, therefore can't be fake (otherwise the first weighing would be balanced)!.
K - appears on opposite sides, so it can't make the left side go down both times!.
L - appears only once, therefore can't be fake (otherwise the third weighing would be balanced)!.
Therefore the only possibility is A, which must be heavier!. Any other combination of ups and downs will allow you to use the same logic to find the fake coin!.Www@Enter-QA@Com
I don't know!.!.!.!.but I'm definitely going to keep an eye on this one!. interesting!.!.!.Www@Enter-QA@Com
In a word, I don't think so!.!.!.!Www@Enter-QA@Com