From 372c52376dcc84059c21ac4adf42ecd8c80c06c6 Mon Sep 17 00:00:00 2001 From: Mark Date: Fri, 26 Jan 2024 10:48:31 -0800 Subject: [PATCH] Added gallery warm-up --- Misc/Warm-Ups/gallery.tex | 118 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 118 insertions(+) create mode 100755 Misc/Warm-Ups/gallery.tex diff --git a/Misc/Warm-Ups/gallery.tex b/Misc/Warm-Ups/gallery.tex new file mode 100755 index 0000000..b30490d --- /dev/null +++ b/Misc/Warm-Ups/gallery.tex @@ -0,0 +1,118 @@ +\documentclass[ + solutions, + singlenumbering, + nopagenumber +]{../../resources/ormc_handout} +\usepackage{../../resources/macros} + + +\makeatletter +\newcommand{\thisone}{ + \if@solutions + {\color{red} $\Leftarrow$ \texttt{this one}} + \else\fi +} + +\title{Warm-Up: The Gallery} +\subtitle{Prepared by \githref{Mark} on \today} + +\begin{document} + + \maketitle + + A museum curator is arranging seven photographs: Fence, Gardenias, Hibiscus, Irises, Katydid, Lotus, and Magnolia + on a gallery wall in accordance with the photographer's requirements. + + The requirements are as follows: + \begin{itemize} + \item Gardenias must be immediately before Katydid. + \item Hibiscus must be somewhere before Katydid but cannot be the first photograph. + \item Irises and Lotus must be next to one another. + \item Magnolia must be one of the first three photographs. + \item Fence must be either first or seventh. + \end{itemize} + + \problem{} + Which of the below could be a valid ordering? + \begin{itemize} + \item \texttt{FHGMKIL} + \item \texttt{HMGKILF} + \item \texttt{ILMHGKF} \thisone{} + \item \texttt{LMIHGKF} + \item \texttt{MFHGKLI} + \end{itemize} + \vfill + + \problem{} + If Irises is immediately before Gardenias, which of the following could be true? + \begin{itemize} + \item Gardenias is fourth + \item Hibiscus is fourth + \item Irises is third + \item Lotus is second + \item Magnolia is third \thisone{} + \end{itemize} + \vfill + + \problem{} + The ordering of the photographs is fully defined if... + \begin{itemize} + \item Gardenias is fourth + \item Hibiscus is second + \item Irises is second + \item Lotus is first \thisone{} + \item Magnolia is third + \end{itemize} + + \vfill + \pagebreak + + \problem{} + If Magnolia is second, what CANNOT be true? + \begin{itemize} + \item Hibiscus is third + \item Hibiscus is fourth \thisone{} + \item Hibiscus is fifth + \item Gardenias is fourth + \item Gardenias is sixth + \end{itemize} + + \vfill + + \problem{} + Katydid cannot be in which position? + \begin{itemize} + \item Third \thisone{} + \item Fourth + \item Fifth + \item Sixth + \item Seventh + \end{itemize} + \vfill + + \problem{} + If Gardenias is fourth, what must be true? + \begin{itemize} + \item Fence is first \thisone{} + \item Hibiscus is third + \item Irises is seventh + \item Magnolia is first + \item Magnolia is second + \end{itemize} + \vfill + + \problem{} + Which one of the following, + if substituted for the second condition, + would fully determine the arrangement of the photographs? + + \begin{itemize} + \item If Fence is seventh, Hibiscus is second + \item Gardenias is somewhere after Hibiscus, and either Fence or Magnolia is first + \item Hibiscus must be somewhere between the first and sixth photographs + \item Unless Hibiscus is second, it must be somewhere between Magnolia and Gardenias \thisone{} + \item Katydid is somewhere after Hibiscus, which must be after Fence. + \end{itemize} + \vfill + \pagebreak +\end{document} \ No newline at end of file