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Maths Puzzle
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?
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- Mark coins ABCDEFGHIJKL
First weighing:-
put ABCD on one side and EFGH on other side of balance.
If equal, then 3rd group, IJKL has the odd coin which can be easily found in next 2 weighings.
If ABCD > EFGH,
it means either one of ABCD is heavier or one of EFGH is lighter.
2nd weighing:-
Put ABE in one Pan and CDF in other pan.
If equal, one of GH is lighter which can be found in 3rd weighing.
If ABE>CDF, then either one of AB is heavier or F is lighter which can be found in 3rd weighing by placing A on one side and B on other side.
- 12 years agoHelpfull: Yes(7) No(1)
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