Difference between revisions of "2021 April MIMC Problems/Problem 19"

(Created page with "<math>(0.51515151...)_n</math> can be expressed as <math>(\frac{6}{n})</math> in base <math>10</math> which <math>n</math> is a positive integer. Find the sum of the digits of...")
(No difference)

Revision as of 17:41, 22 April 2021

$(0.51515151...)_n$ can be expressed as $(\frac{6}{n})$ in base $10$ which $n$ is a positive integer. Find the sum of the digits of $n^{3}$.

$\textbf{(A)} ~6 \qquad\textbf{(B)} ~7 \qquad\textbf{(C)} ~8 \qquad\textbf{(D)} ~9 \qquad  \textbf{(E)} ~\textrm{Does Not Exist}$

Solution

To be Released on April 26th.