\nonstopmode
%$Modified: Tue May  4 10:04:43 1993 by bill $
\def\allfloor#1{\lfloor #1\rfloor}
\def\Bbb#1{{\bf #1}}
\def\abs#1{|#1|}
\def\indent#1{\hbox to \hsize{\hskip 5em\relax#1\hfil}}
\def\Reals{${\Bbb R}$}
\def\nn(#1){$\langle#1\rangle$}
\let\dump=\endinput\input macros.tex
\def\scriptfrac#1#2{{{\scriptstyle#1}\over{\scriptstyle#2}}}
\def\pt(#1,#2){\hbox to .5in{\hfil$\left(#1,#2\right)$\hfil}}
\def\highexp#1#2{\raise #1pt\hbox{${\mathsurround=0pt%
\scriptstyle#2}$}}
\global\overfullrule0pt\relax
\global\lineskip=6pt\relax

\input perms1
\setproblempermutations{\version3:1,10,3,4,2,7,5,6,8,9,12,11}
\setproblempermutations{\version2:10,1,2,12,11,9,8,7,6,5,4,3}

\firstversion=2
\lastversion=2
\normalafterproblemskip=0.0in
\twocolumn{p.6}
\title{Math 336{--}Final Exam}
\date{May 1993}
\global\def\CommentText{\vbox{\lineskip3pt\relax
\advance \hsize by -30pt\relax\parindent0em\relax
\parskip0.0pt\relax
This exam will be 2 hours in length. It consists
of 2 essay questions whose point values are indicated in the body of the
test, and 10 multiple-choice problems worth 10 points
each.  Write the answers to the essay questions in the blue book, and 
for each of the multiple-choice problems mark an {\bf
X} over the letter below that corresponds to the
correct choice. You may use the back of the blue book for scratch
work. 
\vskip5pt\relax
At the end of the exam please hand in a {\bf complete} test booklet
(answer sheet~$+$ question sheets) with your name on it, together with
a blue book, also with your name on it.
}}
\comment{\CommentText}
\pageannouncements={none}
\vertmultchoice2.65in\relax
\nosection

\problem \input p1
\problem \input p2
\problem \input p3
\problem \input p4
\problem \input p5
\problem \input p6
\problem \input p7
\problem \input p8
\problem \input p9
\problem \input p10
\problem \input p11
\problem \input p12
%\problem \input p13
%\problem \input p14
%\problem \input p15

\end
\endinput


