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Problem 363

Number theory Difficulty 2.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2024

$232$ and $111$ are both three-digit palindromes as they read the same from left to right as they do right to left. What is the sum of the digits of the largest three-digit palindrome that is also a multiple of $6$ ?

(A) $16$ (B) $18$ (C) $20$ (D) $21$ (E) $24$

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