Tantalizer 439: High life
12 December 2018
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From New Scientist #990, 4th March 1976 [link]
The Enigma Quartet all live on different floors of a mammoth block of flats. Amble and the drummer are on adjacent floors. The harpist lives four floors above Bumble. Crumble and the flautist are ten floors apart.
None of the four lives on a floor served by a lift. For, although there are three lifts all serving floor 0, one stops only at every third floor, one only at every fourth and one only at every fifth. Apart from floor 0, no floor has three lifts stopping.
Since no musician will ever walk up stairs. Amble has no way of visiting the trombonists flat without walking down at least four sets of stairs. Which instrument does Dimwit play and which floor does he live on?