Pro­fes­sor Ste­wart’s Hoard of Math­e­mat­i­cal Trea­sures

The Sunday Telegraph - Sunday - - Puzzles -

“You’re fall­ing be­hind on your de­liv­er­ies, Santa,” said his mar­ket­ing con­sul­tant. “Well, Ru­dolph’s not got the en­ergy he used to have—” “— and nei­ther have you. Face it, you’re get­ting old. You need some help.” “But tra­di­tion­ally—” “This is the 21st cen­tury, Mr Claus. Ef­fi­ciency is more im­por­tant than some old tra­di­tion.” So Santa re­or­gan­ised his de­liv­ery ser­vice, and as well as his orig­i­nal sleigh he now sends out four ex­tra sleighs, each with an elf in charge. The elves are named Red, Yel­low, Blue, and Green. Each wears a coloured hat. The colours avail­able are red, yel­low, blue, and green, and each colour is worn by ex­actly one elf. No elf wears a hat whose colour is the same as his name. Red does not wear a hat whose colour is the name of an elf that wears a red hat. The elf whose name is the colour of Green’s hat wears a hat whose colour is the name of the elf wear­ing a red hat. elf whose name is the colour of Yel­low’s hat wears a hat whose colour is the name of the elf wear­ing a green hat. Which elf wears the blue hat? An­swer next week.

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