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Sunday Times Teaser 2903 – What’s My Card

by John Owen

Published May 13 2018 (link)

Four expert logicians play a game with a pack of six cards, numbered from 1 to 6. The cards are shuffled and each draws a card, holding it in front of him so that he cannot see his own number but can see the numbers held by the others. The winner is the player who can first deduce what number he is holding.

Each player in turn is asked to announce the sum of two numbers that he can see on the other cards. One game started with Alf announcing 6. After a long pause, no-one claimed victory, so Bert then announced 5. There was a significant pause, but before Charlie spoke, someone claimed victory.

Which cards did Alf and Bert hold, and which cards remained on the table?

One Comment Leave one →
  1. Brian Gladman permalink

    Here is my code for this teaser. I was only able to get this code working after stumbling on Jim Randell’s solution on which you can see here. This allowed me to correct the two marked sections on which I had previously made little progress. To run this code you will also need the code on this page which is also based on Jim’s work (you need to put this in the same directory as this code).

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