Difference between revisions of "AIME 2020(MOCK) Problems"

Revision as of 21:38, 26 May 2020

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

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

Revision as of 17:25, 21 May 2020 (view source) Shiamk (talk \| contribs) (→‎Problem 2) ← Older edit		Revision as of 21:38, 26 May 2020 (view source) Shiamk (talk \| contribs) (→‎Problem 2) Newer edit →
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	==Problem 2==		==Problem 2==

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