What is the largest number of pieces of (round) pie that you can get with five straight cuts? The pieces do not all have to be the same size.
You have an unlimited supply of water and two unmarked cylindrical containers. The first container holds 5 litres and the other holds 3 litres. How would you get exactly 4 litres of water?
Solution:
Fill the five and pour what you can into the three
Empty the three and pour what remains in the five into the three.
Fill the five. Pour what you can into the three so 4 litres remains in the five.
Could you get exactly 5 litres with unmarked cylinders that hold 6 litres and 2 litres?
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