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".

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I don't have one of those on my desk, but somebody does. It would be cheating for me to look at them though ^_^

ReplyDeleteWell, this seemed to be too easy to be true, but:

ReplyDeleteCube 1:

0, 1, 2, 3

Cube 2:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

- Rachele

Oh I see... So they're not just dice... They're actually cubes... Here's a second try:

ReplyDeleteCube 1:

0, 1, 2, 3, 4, 5

Cube 2:

1, 2, 6, 7, 8, 9

Nice try, anonymous, but I'm afraid that doesn't work. What happens on the third day? You need to show 03, which isn't possible with your cubes.

ReplyDeleteHere's my 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 trick: The 6 doubles as a 9 when turned the other way around.

Karnov, I don't mind if you cheat, but I'm glad to see you do! :-)

I'm favoring this answer:

ReplyDelete0,1,2,3,4,5

1,2,6,7,8,9

You don't need to use the six as a nine, because you don't technically need two 0's. On the tenth day, just change the order of the cubes so that the 0 is the second cube instead of the first.

Shane

Hi Shane,

ReplyDeletethanks for your answer... but I'm not sure this works. What happens on the third? There's no way to do 03. Or for that matter, the thirtieth (30).

duh, sorry, that's what I get for missing my coffee this morning. You're absolutely correct. Good answer, by the way.

ReplyDeleteShane

Thanks Shane. What got you all the way back to a post from April, anyways?

ReplyDeleteCube 1:

ReplyDelete0,1,2,3,4,5

Cube 2:

4,5,6,7,8,9