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\documentclass{article}
\usepackage[nostamp]{moodle}
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\begin{document}

\section*{Introduction}

This document is intended to check the support of truefalse questions.

The penalty keyword is overridden.

\begin{quiz}[points=3]{Truefalse questions}

\begin{truefalse}[feedback={general feedback},penalty=3]{Truefalse Test 1}
This is a matching question.
\item[feedback={Feedback for students choosing "true"}] this is discarded 
because the feedback key is defined
\item[]* Feedback for students choosing "false"
\item* Extra items are ignored
\end{truefalse}

\begin{truefalse}[feedback={general feedback}]{Truefalse Test 2}
This is an essay question.
\item Feedback for students choosing "true"
\item[feedback={Feedback for students choosing "false"}]*
\end{truefalse}

\begin{truefalse}[feedback={general feedback}]{Truefalse Test 3}
Please answer "True".
\item*
%\item % if the correct answer is "true", the second item is optional
\end{truefalse}

\begin{truefalse}[feedback={general feedback}]{Truefalse Test 4}
Please answer "False".
\item % if the correct answer is "false", the first item is mandatory, even 
%when it is not given any feedback
\item*
\end{truefalse}

\end{quiz}

\end{document}