Enigma 1142: Policies with strings
7 November 2016
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From New Scientist #2298, 7th July 2001 [link]
Harry used to work for Smallprint, Wriggle, and Payless, a large insurance company. He recalls that every policy number (including some with leading “0”s) had the same number of digits, which was fewer than 20.
He also recalls being passed a neat list of the numbers of five policies for review, and being astonished to find that each number below the first on the list had exactly twice the value of the one above it, and could be obtained from the number above it merely by moving the last digit of that number to its front.
What was the bottom number on his list of five numbers?