There are 12 coins. One of them is false; it weights differently. It is not known, if the false coin is heavier or lighter than the right coins. How to find the false coin by three weighs on a simple scale?
Answers
Given : 12 coins. One of them is false; it weights differently. It is not known, if the false coin is heavier or lighter than the right coins
To find : False coin by minimum weigh
Solution:
Lets make 3 Heap of 4 Coins Each
and weigh 2 heaps with each other
if both are Equal then
Heavier or Lighter is in 3rd Heap
if they are Heavier & lighter then Check
one heap with 3rd heap to find false coin is heavy or Light ( 2nd weigh)
then Take heavy or light coin ( what ever the case is )
take 1 coins in each Scale
if heavier lighter then found (in 3rd Weigh)
if Equal then check remaining two coins , one in each scale (4th weigh)
Hence total 4 Weigh
another case
taking 3rd Heap
taking 1 Coins in each Scale ( 2nd weigh)
if Heavier or lighter check with one coin of other heap to find lighter or heavier ( 3rd weigh)
if
Equal weight then Check one coin from remaining Coins (3rs Weigh)
and found false
There is one case where 4 weighing are required
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