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MathNet 1964 — Part 01 Question 16

Math Olympiad Vault · MathNet 1964 — Part 01

Question 16

a) Find the smallest square with last digit not $0$ which becomes another square (not zero) by the deletion of its last two digits.


b) Find all squares, not containing the digits $0$ or $5$, such that if the second digit is deleted the resulting number divides the original one.