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2021 AMC Fall 10AProblem 12P11-15~3 minPrint
Modular ArithmeticBases & DigitsSet up the equation/formula and compute; no special trick needed

The base-nine representation of the number NN is 27,006,000,052nine.27{,}006{,}000{,}052_{\text{nine}}. What is the remainder when NN is divided by 5?5?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.