Crthuky

With printanswers I can print all the answers following each of the questions. Now I want to print the answers only without the questions. I need this because I want to upload answers only, not the questions on website.

documentclass[11pt,oneside,A4paper,final,leqno]exam
usepackagetikz
usepackageenumerate
usepackageamsfonts
usepackageamsmath
usepackagelongtable
usepackagexcolor
renewcommandsectionmark[1] markrightrm smallthesection. #1
usepackage[paper=a4paper,margin=1.086571in]geometry%
usepackageetex

usepackage[mathscr]eucal
usepackagegraphics, graphpap
usepackagemulticol,color
usepackageindentfirst

renewcommandthefootnote



usepackagepgf,tikz
usepackagemathrsfs
usetikzlibraryarrows

usepackage[absolute,overlay]textpos
usepackagepgf,tikz
usepackagemathrsfs
usetikzlibraryarrows
usepackageamsthm
defbitextbfi
defbjtextbfj
defbktextbfk


usepackage[all]xy SelectTipseu

renewcommandquestionlabelthequestion. %replace period with parenthesis
renewcommandthequestionbfseries arabicquestion
printanswers
begindocument


section*Maths Test # 1901 rule5.92cm.4pt





beginquestions



question What is the probability of picking an ace in two consecutive attempts in a 52 card deck?
beginmulticols4
beginchoices 
choice $displaystylefrac13221$
choice $displaystylefrac23221$
choice $displaystylefrac33221$
choice $displaystylefrac43221$
endchoices 
endmulticols
beginsolution $(C)$.
In the first attempt, the chance not to get an ace is $48/52$. In the second one, the chance is $47/51$. Therefore, the chance not to get an ace in two consecutive attempts is $48*47/51*52=188/221$. Hence, the result must be $1-188/221=33/221$.
endsolution




question Given three points $A(1,5), B(4,1)$ and $C(5,8)$. What is the angle $widehatACB$?
beginmulticols4
beginchoices 
choice $90$
choice $45$ %b
choice $60$
choice $120$
endchoices 
endmulticols
beginsolution $(B)$
We have $overrightarrowAB=(3,-4)$ and $overrightarrowAC=(4,3)$. Therefore, $ABC$ is an isosceles triangle with $widehatBAC=90$. Thus, the answer is $widehatACB=45$.
endsolution

question Suppose the ball moves freely inside the square domain with constant speed and the reflection off the boundary elastic and subject to a familiar law: the angle of incidence equals the angle of reflection. Put the ball at the center of the domain. At which angle $alpha$ does the ball have to start so that it will hit one of the four corners of the domain?
begincenter

begintikzpicture 
clip(-4.5,1.5) rectangle (2.5,8.5);
%fill[line width=.4pt,fill=white] (2.,2.) -- (2.,8.) -- (-4.,8.) -- (-4.,2.) -- cycle;
draw[line width=.4pt,color=black] (-0.6928530532823249,2.) -- (-0.6928530532823249,2.3071469467176757) -- (-1.,2.3071469467176757) -- (-1.,2.) -- cycle; 
draw [shift=(-1.,5.),line width=.6pt,color=black] (0,0) -- (270.:1) arc (270.:303.6900675259798:1) -- cycle;
draw [line width=.6pt] (2.,2.)-- (2.,8.);
draw [line width=.66pt] (2.,8.)-- (-4.,8.);
draw [line width=.6pt] (-4.,8.)-- (-4.,2.);
draw [line width=.6pt] (-4.,2.)-- (2.,2.);
draw [line width=.6pt] (-1.,5.)-- (-1.,2.);
draw [line width=.6pt] (-1.,5.)-- (1.,2.);
beginscriptsize
draw[] (-0.1,4.6081570530868605) node $alpha$;
endscriptsize
endtikzpicture
endcenter


beginchoices 
choice $displaystyletanalpha=frac12017$
choice $displaystyletanalpha=frac12018$ %b
choice $displaystyletanalpha=frac22019$
choice $displaystyletanalpha=2020$
endchoices 


endquestions

 enddocument