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AIME 2020(MOCK) Problems

Revision as of 21:38, 26 May 2020 by Shiamk (talk | contribs) (→‎Problem 2)

Problem 1

Let $N$ be $112123123412345... (1000 digits)$. What is the remainder when $N$ is divided by $21$?


Problem 2

Let $K$ be a set of polynomials $P(x)$ with integral coefficients such that the roots of $P(x)$ are $cos \frac{\pi}{2}$, $cos \frac{\pi}{4}$

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