AMC 10 Step by Step
2025 AMC 10BProblem 18P16-20~5 minPrint

What is the ones digit of the sum 1+2+3++2025?\lfloor \sqrt{1} \rfloor + \lfloor \sqrt{2} \rfloor + \lfloor \sqrt{3} \rfloor + \dots + \lfloor \sqrt{2025} \rfloor? (Recall that x\lfloor x \rfloor represents the greatest integer less than or equal to xx .)

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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.