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Curious Cyclic Circumstance (Posted on 2009-02-07) Difficulty: 2 of 5
Three distinct 3-digit positive decimal integers P, Q and R, each having no leading zeroes and with P > Q > R, are such that:

(i) The product P*Q*R contains precisely one 8, one 6, one 5, one 4, two 3ís and three 2ís (albeit not necessarily in this order), and:

(ii) P*Q*R consists of precisely 9 digits with the last digit being 6, and:

(iii) P, Q and R are obtained from one another by cyclic permutation of digits.

Determine all possible triplet(s) (P, Q, R) that satisfy the given conditions.

Note: This problem can be solved without using a computer program, however computer program/spreadsheet solutions are welcome.

See The Solution Submitted by K Sengupta    
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  Subject Author Date
Solutioncomputer solutionCharlie2009-02-07 17:00:51
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