MathDB
2023 Individual #13

Source:

April 26, 2023
2023 Individual

Problem Statement

Five cards numbered 1,2,3,4,1,2,3,4, and 55 are given to Paige, Quincy, Ronald, Selena, and Terrence. Paige, Quincy, and Ronald have the following conversation:
[*]Paige: My number is between is between Selena's number and Quincy's number. [*]Quincy: My number is between Ronald's number and Terrence's number. [*]Ronald: My number is between Paige's number and Quincy's number.
Who received the card numbered 33?
<spanclass=latexbold>(A)</span>Paige<spanclass=latexbold>(B)</span>Quincy<spanclass=latexbold>(C)</span>Ronald<spanclass=latexbold>(D)</span>Selena<spanclass=latexbold>(E)</span>Terrence<span class='latex-bold'>(A) </span> \text{Paige}\qquad<span class='latex-bold'>(B) </span> \text{Quincy}\qquad<span class='latex-bold'>(C) </span> \text{Ronald}\qquad<span class='latex-bold'>(D) </span> \text{Selena}\qquad<span class='latex-bold'>(E) </span> \text{Terrence}