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These puzzles are also printed in Eight days a week, a booklet published by the Association of Teachers of Mathematics.The Association of Teachers of Mathematics

Which number am I describing ? It is palindromic (i.e. reads the same backwards as forwards). It is an odd number, it is a cube number, it is a multiple of 7, two more than it is divisible by 5 and it has 3 digits. (A cube number is like 125 which is 5x5x5 or 27 which is 3x3x3)

Answer: 343


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