MathDB
2020 Individual #18

Source:

May 1, 2022
2020 Individual

Problem Statement

When 171171 is written as the sum of 1919 consecutive integers, the median of those numbers is MM. When 171171 is written as the sum of 1818 consecutive integers, the median of those numbers is NN. Find MN|M - N|.
<spanclass=latexbold>(A)</span>1<spanclass=latexbold>(B)</span>0.5<spanclass=latexbold>(C)</span>0<spanclass=latexbold>(D)</span>0.5<spanclass=latexbold>(E)</span>1<span class='latex-bold'>(A) </span>{-}1\qquad<span class='latex-bold'>(B) </span>{-}0.5\qquad<span class='latex-bold'>(C) </span>0\qquad<span class='latex-bold'>(D) </span>0.5\qquad<span class='latex-bold'>(E) </span>1