How to embed choices in tabular in exam class?

Question

Similar to the question: Exam class multiple choice answers in table format,
I'm trying to embed the choices into a table format and looking like a table.
documentclass[11pt]{exam}
usepackage{mathtools}
usepackage{xspace}
usepackage{array}
usepackage{tikz}
printanswers
newcommand{wideunderline}[2][2em]{%
  underline{makebox[ifdimwidth>#1widthelse#1fi][c]{#2}}%
}
begin{document}

fbox{parbox{linewidth}{
When compared to the graph of $y=f(x)$, the graph of $8y=f(-x)$ has been reflected in the wideunderline[1.5cm]{textit{i}} and vertically stretched about the x-axis by a factor of wideunderline[1.5cm]{textit{ii}}}}medskip
begin{questions}
question The statement above is completed by the information in row:medskip

begin{choices}
renewcommandarraystretch{1.5}
choice A
correctchoice B
choice C
choice D
end{choices}

question I want choice B embedded in the table. 
%begin{choices}%%%is this possible?
begin{tabular}{|c|c|c|}
hline
    textbf{Row }& textbf{textit{i}}&textbf{textit{ii}}\
    hline
    A &  $y$-axis&8\ 
    hline
        B &  $y$-axis&$frac{1}{8}$\%I would like the choice to be embeded i.e. choice B is in the first column of the table in row 3.
    hline
        C &  $x$-axis&8\
    hline
        D &  $x$-axis&$frac{1}{8}$\
    hline
end{tabular}
%end{choices}%%%%doesn't work. 
end{questions}
end{document}

Can anyone help me with this?

Don Hosek · Answer

The oneparchoices environment almost does what you want but it has two major limitations: First, embedding the choices in a table messes up the handling for correctchoice and second, the formatting automatically adds extra space before each choice after the first which makes sense in the paragraph situation but otherwise not so much.
To get something approaching what you want, I modified the oneparchoices environment to remove horizontal spacing and only apply the correct choice formatting to the label rather than the whole answer (which would be challenging to do in a generalizable way given the fact that we're putting the choice commands into cells of a table.
Here's the new environment definition:
makeatletter
newenvironment{noparchoices}%
  {%
    setcounter{choice}{0}%
    defchoice{%
      refstepcounter{choice}%
      choicelabel
      % No need to put the following into a token string; we just put
      % the choicelabel onto the page, so we're at the spot whose page
      % number we want to record:
      questionobject@pluspagecheck
    }% choice
    defCorrectChoice{%
      refstepcounter{choice}%
      ifprintanswers
        begingroup 
        CorrectChoice@Emphasis
      fi
      choicelabel
      endgroup
      % No need to put the following into a token string; we just put
      % the choicelabel onto the page, so we're at the spot whose page
      % number we want to record:
      questionobject@pluspagecheck
    }% CorrectChoice
    letcorrectchoiceCorrectChoice
    % If we're continuing the paragraph containing the question,
    % then leave a bit of space before the first choice:
    ignorespaces
  }%
  {}
makeatother

and here's an example of its use:
begin{noparchoices}
begin{tabular}{|c|c|c|}
hline
    textbf{Row }& textbf{textit{i}}&textbf{textit{ii}}\
    hline
    choice &  $y$-axis&8\ 
    hline
        correctchoice &  $y$-axis&$frac{1}{8}$\
    hline
        choice &  $x$-axis&8\
    hline
        choice &  $x$-axis&$frac{1}{8}$\
    hline
end{tabular}
end{noparchoices}

How to embed choices in tabular in exam class?

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