MathDB
2022 A Individual #18

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April 28, 2022
2022 A Individual

Problem Statement

If the six-digit number 2‾ 0‾ 2‾ 1‾ a‾ b‾\underline{2}\, \underline{0}\, \underline{2} \, \underline{1} \, \underline{a} \, \underline{b} is divisible by 99, what is the greatest possible value of a⋅ba \cdot b?
<spanclass=′latex−bold′>(A)</span>18<spanclass=′latex−bold′>(B)</span>20<spanclass=′latex−bold′>(C)</span>36<spanclass=′latex−bold′>(D)</span>40<spanclass=′latex−bold′>(E)</span>42<span class='latex-bold'>(A) </span>18\qquad<span class='latex-bold'>(B) </span>20\qquad<span class='latex-bold'>(C) </span>36\qquad<span class='latex-bold'>(D) </span>40\qquad<span class='latex-bold'>(E) </span>42
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