Convert warm-ups to typst #2
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\documentclass[
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solutions,
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singlenumbering,
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nopagenumber
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]{../../../lib/tex/ormc_handout}
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\usepackage{../../../lib/tex/macros}
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\makeatletter
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\newcommand{\thisone}{
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\if@solutions
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{\color{red} $\Leftarrow$ \texttt{this one}}
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\else\fi
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}
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\title{Zeno's Furniture}
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\uptitlel{Warm Ups}
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\uptitler{\smallurl{}}
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\subtitle{Prepared by Mark on \today}
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\begin{document}
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\maketitle
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Zeno Furniture sells exactly five types of furniture:
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\begin{itemize}
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\item Footstools
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\item Hutches
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\item Sideboards
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\item Tables
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\item Vanities
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\end{itemize}
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Irene buys four items, each of a different type,
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and each made of exactly one kind of wood:
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\begin{itemize}
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\item Maple
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\item Oak
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\item Pine
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\item Rosewood
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\end{itemize}
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The following conditions govern Irene's purchases:
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\begin{itemize}
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\item Any vanity she buys is Maple.
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\item Any rosewood item she buys is a sideboard.
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\item If she buys a vanity, she does not buy a footstool.
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\item If she buys a footstool, she also buys a table made of the same material.
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\item Irene does not buy an oak table.
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\item Exactly two of the items she buys are made of the same kind of wood.
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\end{itemize}
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\problem{}
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Which one of the following could be an accurate
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list of the items Irene buys? \par
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\begin{itemize}
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\item maple footstool, maple hutch, rosewood sideboard, maple table
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\item oak hutch, rosewood sideboard, pine table, oak vanity
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\item rosewood hutch, maple sideboard, oak table, maple vanity
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\item pine footstool, rosewood sideboard, pine table, maple vanity
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\item maple footstool, pine hutch, oak sideboard, maple table \thisone{}
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\end{itemize}
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\vfill
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\problem{}
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If Irene buys one item made of rosewood and two items made
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of maple, then which one of the following pairs could be two
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of the items she buys?
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\begin{itemize}
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\item a rosewood sideboard and an oak footstool
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\item an oak hutch and a pine sideboard
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\item an oak hutch and a maple table \thisone{}
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\item a maple sideboard and a maple vanity
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\item a maple hutch and a maple table
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\end{itemize}
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\vfill
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\pagebreak
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\problem{}
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Which one of the following is a complete and accurate list
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of all the woods any footstool that Irene buys could be made of?
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\begin{itemize}
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\item maple, oak
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\item maple, pine \thisone{}
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\item maple, rosewood
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\item maple, oak, pine
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\item maple, oak, pine, rosewood
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\end{itemize}
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\vfill
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\problem{}
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Suppose Irene buys a footstool. Then which one of the following
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is a complete and accurate list of items and any one of which she
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could buy in maple?
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\begin{itemize}
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\item footstool, hutch, sideboard, table, vanity
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\item footstool, hutch, sideboard, table \thisone{}
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\item footstool, hutch, sideboard
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\item footstool, hutch
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\item footstool
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\end{itemize}
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\vfill
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\problem{}
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Which one of the following cannot be the two items Irene
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buys that are made of the same wood as each other?
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\begin{itemize}
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\item footstool, hutch \thisone{}
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\item hutch, sideboard
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\item hutch, table
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\item sideboard, vanity
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\item table, vanity
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\end{itemize}
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\vfill
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\pagebreak
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\problem{}
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If Irene does not buy an item made of maple, then each of the
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following must be true except...
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\begin{itemize}
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\item Irene buys a footstool
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\item Irene buys a pine hutch \thisone{}
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\item Irene buys a rosewood sideboard
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\item Irene buys exactly one item made of oak
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\item Irene buys exactly two items made of pine
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\end{itemize}
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\vfill
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\problem{}
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Suppose the condition that Irene does not buy an oak table is
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replaced with the condition that she does not buy a pine table.
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If all the other conditions hold as originally given, which of the
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following cannot be true?
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\begin{itemize}
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\item Irene buys an oak footstool.
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\item Irene buys a hutch and a table made of the same wood.
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\item Irene buys a vanity, but she does not buy an oak table.
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\item Irene buys a maple table and an oak hutch.
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\item Irene buys a rosewood sideboard and exactly two items made of pine. \thisone{}
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\end{itemize}
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\vfill
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\pagebreak
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\end{document}
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125
src/Warm-Ups/Zeno's Furniture/main.typ
Normal file
125
src/Warm-Ups/Zeno's Furniture/main.typ
Normal file
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#import "@local/handout:0.1.0": *
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#show: handout.with(
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title: [Warm-Up: Zeno's Furniture],
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by: "Mark",
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)
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#let thisone = if_solutions(
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text(fill: ored, [#sym.arrow.l.double.long `this one`]),
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)
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Zeno's Furniture sells exactly five types of furniture: \
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Footstools, Hutches, Sideboards, Tables, and Vanities.
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#v(3mm)
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Each can be made of exactly one kind of wood: \
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Maple, Oak, Pine, or Rosewood
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#v(3mm)
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Irene buys four items, each of a different type. \
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The following conditions govern Irene's purchases:
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- Any vanity she buys is Maple.
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- Any rosewood item she buys is a sideboard.
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- If she buys a vanity, she does not buy a footstool.
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- If she buys a footstool, she also buys a table made of the same material.
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- Irene does not buy an oak table.
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- Exactly two of the items she buys are made of the same kind of wood.
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#v(5mm)
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#problem()
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Which one of the following could be an accurate
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list of the items Irene buys? \
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- maple footstool, maple hutch, rosewood sideboard, maple table
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- oak hutch, rosewood sideboard, pine table, oak vanity
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- rosewood hutch, maple sideboard, oak table, maple vanity
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- pine footstool, rosewood sideboard, pine table, maple vanity
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- maple footstool, pine hutch, oak sideboard, maple table #thisone
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#v(1fr)
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#problem()
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If Irene buys one item made of rosewood and two items made
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of maple, then which one of the following pairs could be two
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of the items she buys?
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- a rosewood sideboard and an oak footstool
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- an oak hutch and a pine sideboard
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- an oak hutch and a maple table #thisone
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- a maple sideboard and a maple vanity
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- a maple hutch and a maple table
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#v(1fr)
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#pagebreak()
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#problem()
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Which one of the following is a complete and accurate list
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of all the woods any footstool that Irene buys could be made of?
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- maple, oak
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- maple, pine #thisone
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- maple, rosewood
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- maple, oak, pine
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- maple, oak, pine, rosewood
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#v(1fr)
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#problem()
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Suppose Irene buys a footstool. Then which one of the following
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is a complete and accurate list of items and any one of which she
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could buy in maple?
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- footstool, hutch, sideboard, table, vanity
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- footstool, hutch, sideboard, table #thisone
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- footstool, hutch, sideboard
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- footstool, hutch
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- footstool
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#v(1fr)
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#problem()
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Which one of the following cannot be the two items Irene
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buys that are made of the same wood as each other?
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- footstool, hutch #thisone
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- hutch, sideboard
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- hutch, table
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- sideboard, vanity
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- table, vanity
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#v(1fr)
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#pagebreak()
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||||
|
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#problem()
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If Irene does not buy an item made of maple, then each of the
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following must be true except...
|
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- Irene buys a footstool
|
||||
- Irene buys a pine hutch #thisone
|
||||
- Irene buys a rosewood sideboard
|
||||
- Irene buys exactly one item made of oak
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- Irene buys exactly two items made of pine
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||||
|
||||
#v(1fr)
|
||||
|
||||
|
||||
#problem()
|
||||
Suppose the condition that Irene does not buy an oak table is
|
||||
replaced with the condition that she does not buy a pine table.
|
||||
If all the other conditions hold as originally given, which of the
|
||||
following cannot be true?
|
||||
- Irene buys an oak footstool.
|
||||
- Irene buys a hutch and a table made of the same wood.
|
||||
- Irene buys a vanity, but she does not buy an oak table.
|
||||
- Irene buys a maple table and an oak hutch.
|
||||
- Irene buys a rosewood sideboard and exactly two items made of pine. #thisone
|
||||
|
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#v(1fr)
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||||
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