maths Maths Puzzle

A perfect square has length n if its last n (decimal) digits are the same and non-zero. What is the maximum possible length? Find all squares that achieve this length.

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maths Other Question

Evaluate 22004 (modulo 2004). Frank and his brother Jack are going to meet each. Frank is leaving school in a sportscar and Jack is on a bike and leaving their house. Although the two boys are going in opposite directions, they take the exact same roads to go to and from school. When they meet who was closer to their home?