This is another great maths riddle I got from my teacher. He finished his Masters degree in the University of London specializing in ‘function analysis’. This isn’t something he made up, but he just has a way with maths …

Balance

Here's the balance to use ...

There are eight pieces of gold of the same mass (i.e. same mass and weight), but one fake piece of gold, which is lighter than every piece else is among them.  We are given a balance but no weights.  How many times at least can we use the balance to sort out the fake piece from the others?

This isn’t really tough.  I’ll post the answer as a comment some other time.  If you are through with this problem, try finding out a fake piece of gold from 10 pieces of gold (including the fake) and from 27 pieces of gold (including the fake).  It gets tougher but nothing’s that difficult.  Enjoy!

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