Calendar Cubes

A man has two paper cubes on his desk. Every day he arranges both cubes so that the front faces show the current day of the month. What numbers are required on the faces of the cubes to allow this for all possible days in the calendar?

Answer

The first cube has the numbers: 012345.
The second cube has the numbers: 012678.
The number ‘6’ can be used for both ‘6’ and ‘9’.

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