Here n stands for any integer, and remainders are taken after division with a positive divisor. One or more of the statements below are true. Which are they?

MathematicsAdvancedHigh School (11–12)Number Systems › Exponents and Radicals Olympiad

Here $n$ stands for any integer, and remainders are taken after division with a positive divisor. One or more of the statements below are true. Which are they?

One or more options are correct. Tick all the correct ones: a wrong option costs marks, and a part-right answer earns part of the marks.

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← Add the numbers 1¹, 2², 3³ and so on, where the kth term is k raised to the power k, up to 2026²⁰²⁶. What is the units digit of this sum?Four claims about HCF, LCM and numbers that share no factor with a given number are listed. At least one claim is true. Pick every true claim. →

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