Puzzle 6: On the silly side of Silly Street
8 January 2020
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From New Scientist #1057, 23rd June 1977 [link]
On the Island of Imperfection there are three tribes, the Pukkas who always tell the truth, the Wotta-Woppas who never tell the truth, and the Shill-Shallas who make statements which are alternately true and false (or false and true).
The four inhabitants of the Island with whom this story deals live in separate houses all on one side of Silly Street where the numbers of the houses are all odd, from 1 to 41 inclusive.
They speak as follows:
A.1: D’s number is one third of C’s;
A.2: D is a Wotta-Woppa.
B.1: The numbers of all our four houses are multiples of 5;
B.2: C’s number is less than A’s.
C.1: A belongs to the same tribe as I do;
C.2: A Pukka lives in No 35.
D.1: C’s number is greater than B’s;
D.2: B belongs to a more truthful tribe than I do.
You are told that there is at least one representative from each tribe, but only one Shilli-Shalla.
Find their tribes and the numbers of their houses.