Logical adventures with cats and cards
Lewis Carroll, who died 125 years ago on Saturday, was perhaps the world’s greatest populariser of logical puzzles. His most famous book, Alice in Wonderland, is a masterclass in how to turn arcane mathematical logic into whimsy and humour. Today’s challenges begin with a little known conversation between two of Carroll’s best-loved characters.Cheshire Cat: Okay Alice, let us call a whole number ‘handy’ if its digits add to a multiple of 5.
Can you think of a handy number?CC: Very good! But your examples are all quite far apart. How close together do you think two handy numbers can be?CC: I think you can do better than that.Four cards numbered 1, 10, 100 and 1000 lie face down on a table. The cards are distributed between three truth-tellers and one liar, with each person receiving one card. Then the four of them speak one after another:“My number is more than 100.
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