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Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A group of students took a test which consisted of $3$ questions. We know that $90\%$ answered the first question correctly, $80\%$ answered the second question correctly and $70\%$ answered the third question correctly. What is the smallest possible percentage of students who answered all three questions correctly?

(A) $30\%$ (B) $35\%$ (C) $40\%$ (D) $50\%$ (E) $70\%$

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