Enigma 1027: Five-digit cubes
18 January 2019
Posted by on
From New Scientist #2183, 24th April 1999 [link]
Harry, Tom and I were asked by Mary each to select a five-digit perfect cube that consisted of five different digits and to tell her (in secret) which one had been selected. After we had each done so she said:
“If I now told any one of you individually how many digits his cube has in common with each of the other two cubes he could deduce with certainty one, but not both of them”.
That in itself was enough information to enable me to deduce with certainty both the cubes that Harry and Tom had between them selected.
What were those two cubes?
In the magazine this puzzle was published as Enigma 1026 (despite that number having been used the previous week).