MathDB
Logic puzzle

Source: 1959 AHSME Problem 46

August 14, 2013
AMClogicAMC 12

Problem Statement

A student on vacation for dd days observed that (1)(1) it rained 77 times, morning or afternoon (2)(2) when it rained in the afternoon, it was clear in the morning (3)(3) there were five clear afternoons (4)(4) there were six clear mornings. Then dd equals: <spanclass=latexbold>(A)</span> 7<spanclass=latexbold>(B)</span> 9<spanclass=latexbold>(C)</span> 10<spanclass=latexbold>(D)</span> 11<spanclass=latexbold>(E)</span> 12 <span class='latex-bold'>(A)</span>\ 7\qquad<span class='latex-bold'>(B)</span>\ 9\qquad<span class='latex-bold'>(C)</span>\ 10\qquad<span class='latex-bold'>(D)</span>\ 11\qquad<span class='latex-bold'>(E)</span>\ 12