The Cubes | Folj.com

6. The Cubes

A corporate businessman has two cubes on his office desk. Every day he arranges both cubes so that the front faces show the current day of the month.

What numbers are on the faces of the cubes to allow this?

Note: You can't represent the day "7" with a single cube with a side that says 7 on it. You have to use both cubes all the time. So the 7th day would be "07".

Added 1 January 2007

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Hint:

1 & 2 must be on both cubes (11 & 22). So must one other number. 6=9 upside down.

Solution:

Cube One has the following numbers: 0, 1, 2, 3, 4, 5

Cube two has the following numbers: 0, 1, 2, 6, 7, 8

The 6 doubles as a 9 when turned the other way around.

There is no day 00, but you still need the 0 on both cubes in order to make all the numbers between 01 and 09.

Alternate solutions are also possible e.g.
Cube One: 1, 2, 4, 0, 5, 6
Cube Two: 3, 1, 2, 7, 8, 0

Comments (4)

Anonymous 6 January 2010

Hi,

In the Question named "The Cubes" Why do you need number 2 on second dice as we can have all the months displayed without using that. Instead we can have 9 at the second dice so that we do not have to turn the number 6 to display nine.

Regards,
Saurabh Jain

Why do you need number 2 on the second die as we can have all the months displayed without using that? Instead, we can have 9 on the second die so that we do not have to turn the number 6 to display nine.

In the question named 'The Cubes', why do you need number 2 on the second dice? We can have all the months displayed without using that. Instead, we can have 9 at the second dice.

Anonymous 11 November 2012

I have an alternative solution for the puzzle. Cube1:0,1,2,3,5,7 and Cube2:0,1,2,4,9,8.

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