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UKMT Senior Mathematical Challenge, 2024

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

What is two-fifths of the recurring decimal 0.2˙5˙0.\dot{2}\dot{5}?

(A) 0.1˙0.\dot{1} (B) 0.01˙0.0\dot{1} (C) 0.0˙1˙0.\dot{0}\dot{1} (D) 0.100.10 (E) 0.1˙0˙0.\dot{1}\dot{0}

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