MathDB
2019 Individual #21

Source:

May 1, 2022
2019 Individual

Problem Statement

The first 3232 perfect squares, 11, 44, 99, 1616, 2525, \ldots, 961961, 10241024 are combined together into one large number by appending their digits in succession, forming the number N=14916259611024N = 1491625\ldots9611024. How many digits does NN have?
<spanclass=latexbold>(A)</span>84<spanclass=latexbold>(B)</span>85<spanclass=latexbold>(C)</span>86<spanclass=latexbold>(D)</span>87<spanclass=latexbold>(E)</span>88<span class='latex-bold'>(A) </span>84\qquad<span class='latex-bold'>(B) </span>85\qquad<span class='latex-bold'>(C) </span>86\qquad<span class='latex-bold'>(D) </span>87\qquad<span class='latex-bold'>(E) </span>88