Number theory · Digit sums · Remainders · Decimal representation
For every natural number, Perica computed the remainder that this number leaves on division by the sum of its digits in the decimal system, and wrote that remainder on the board.
Has Perica in this way written every natural number on the board?
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Regional Competition (Okruzno takmicenje) 2026, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source