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UKMT Intermediate Mathematical Challenge, 2025

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

What is the sum of the recurring decimals $0.\dot{1} + 0.\dot{2} + 0.\dot{3} + 0.\dot{4}$ ?

(A) $1.\dot{1}$ (B) $1.\dot{1}0\dot{}$ (C) $1.1$ (D) $1.\dot{0}1\dot{}$ (E) $1$

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