MathDB
Standing in a Circle

Source: AMC 8 2018 #3

November 20, 2018
AMC 82018 AMC 8Bob

Problem Statement

Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a 7 as a digit (such as 47) or is a multiple of 7 that person leaves the circle and the counting continues. Who is the last one present in the circle?
<spanclass=latexbold>(A)</span>Arn<spanclass=latexbold>(B)</span>Bob<spanclass=latexbold>(C)</span>Cyd<spanclass=latexbold>(D)</span>Dan<spanclass=latexbold>(E)</span>Eve<span class='latex-bold'>(A) </span> \text{Arn}\qquad<span class='latex-bold'>(B) </span>\text{Bob}\qquad<span class='latex-bold'>(C) </span>\text{Cyd}\qquad<span class='latex-bold'>(D) </span>\text{Dan}\qquad <span class='latex-bold'>(E) </span>\text{Eve}