\documentclass{article}
\usepackage{exam}
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%%%% with the following:
%\documentstyle[exam]{article}
\paper{445.123 FC}
\degree{BA, BSc etc}
\title{An introduction to basic set theory}
\note{Attempt any {\bf THREE} questions}

\begin{document}
\begin{questions}
\item Assume ZF is consistent.  Prove that ZFC is consistent.

\item
\begin{enumerate}
\item Prove that Tychonoff's Theorem is equivalent to the Axiom of Choice.
\item Assume that all Dedikind-finite sets are finite.  Show that every cardinal is comparable with $\omega$.
\end{enumerate}

\item Show that if there is a free ultrafilter on some set which is countably complete, then there is a measurable cardinal.
\end{questions}
\end{document}
easurable cardinal.
\end{questions}
\end{document}
