Maths Olympiad Prep

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Number theory Difficulty 1.0 Junior Find the answer United Kingdom

How many of the following take integer values? 11\dfrac{1}{1}, 111+1\dfrac{11}{1+1}, 1111+1+1\dfrac{111}{1+1+1}, 11111+1+1+1\dfrac{1111}{1+1+1+1}, 111111+1+1+1+1\dfrac{11111}{1+1+1+1+1}

(A) 00 (B) 11 (C) 22 (D) 33 (E) 44

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