MathDB
Digital watch

Source: AMC 12 2006A, Problem 4

February 5, 2006
AMC

Problem Statement

A digital watch displays hours and minutes with cAM \text c{AM} and cPM \text c{PM}. What is the largest possible sum of the digits in the display? <spanclass=latexbold>(A)</span>17<spanclass=latexbold>(B)</span>19<spanclass=latexbold>(C)</span>21<spanclass=latexbold>(D)</span>22<spanclass=latexbold>(E)</span>23 <span class='latex-bold'>(A) </span> 17\qquad <span class='latex-bold'>(B) </span> 19\qquad <span class='latex-bold'>(C) </span> 21\qquad <span class='latex-bold'>(D) </span> 22\qquad <span class='latex-bold'>(E) </span> 23