Hi Sanjoy,

Two or three years ago Wolfgang helped me to solve an analogous question. Here is an example which works fine, and moreover one can navigate from a question to its hint (if there is one…) and then from the hint to its solution (if present…).

Best regards: OK

%%%% begin interactive-question-hint-answer.tex
%%%% Here, following Wolfgang Schuster's ideas, 
%%%% we define some macros allowing to couple
%%%% Questions, Hints and Answers in an automatic way
%%%% Upon clicking on an interactive title for Question, Hint or Answer
%%%% one goes to the corresponding Hint, Answer or Question

\setupinteraction[state=start]

% We define two counters which follow the numbers
% appearing in Question and Answer

\newcounter\QuestionCounter
\newcounter\HintCounter
\newcounter\AnswerCounter

% We create two commands to be used in the
% enumeration environments
% Note that the check for trial typestting 
% \doifnotmode{*trialtypesetting}
% is necessary in order to avoid unwanted incrementation
\define[1]\QuestionTextCommand
  {\doifnotmode{*trialtypesetting}
     {\doglobal\increment\QuestionCounter
      \pagereference[question:\QuestionCounter]}%
   \doifreferencefoundelse{hint:\QuestionCounter}
     {\goto{#1}[hint:\QuestionCounter]}
     {#1}}

\define[1]\HintTextCommand
  {\doifnotmode{*trialtypesetting}
     {\doglobal\increment\HintCounter
      \pagereference[hint:\HintCounter]}%
   \doifreferencefoundelse{answer:\QuestionCounter}
     {\goto{#1}[answer:\QuestionCounter]}
     {#1}}

\define[1]\AnswerTextCommand
  {\doifnotmode{*trialtypesetting}
     {\doglobal\increment\AnswerCounter
      \pagereference[answer:\AnswerCounter]}%
   \doifreferencefoundelse{question:\AnswerCounter}
     {\goto{#1}[question:\AnswerCounter]}
     {#1}}

% We define here two enumeration environments for
% Questions and Answers
\defineenumeration[question]
[text=Question,
headcommand=\QuestionTextCommand,
number=yes,
prefix=yes,
prefixsegments=chapter,
coupling=hint]

\defineenumeration[hint]
[text=Hint,
headcommand=\HintTextCommand,
number=yes,
prefix=yes,
prefixsegments=chapter,
coupling=answer]


\defineenumeration[answer]
[text=Answer,
headcommand=\AnswerTextCommand,
number=yes,
prefix=yes,
prefixsegments=chapter,
coupling=question]

% Each question is followed immediately by its answer.
% The answers are put in a block which will be used later
\defineblock[hint]
\hideblocks[hint]

\defineblock[answer]
\hideblocks[answer]

% We define a command used after a  
% Question for which no Answer is provided
% Since the block commands 
% \beginanswer ... \endanswer
% cannot be used directly in a macro definition
% we use a trick...
% In the buffer the two counters associated to Answer
% are incremented...
\startbuffer[noanswer]
    \beginhint
    \doglobal\increment\HintCounter
    \incrementcounter[hint]
    \endhint
    \beginanswer
    \doglobal\increment\AnswerCounter
    \incrementcounter[answer]
    \endanswer
\stopbuffer

% ...and then the above buffer is invoked
\define\noanswer
  {\getbuffer[noanswer]}

% example of use:
\starttext
\startchapter[title=Questions]

\startquestion[q:1]
Prove that ${\rm e}\sim 2.73$ is irrational.

    

This is the first question, with its own reference, for later use.
\stopquestion

\beginhint
\starthint
Write ${\rm e}$ as a series.
\stophint
\endhint

\beginanswer
\startanswer
This is the answer to the first question (to \in{Question}[q:1]).
\stopanswer
\endanswer

\startquestion 
This is the second question, without its own reference.
\stopquestion

\beginhint
\starthint
Do you really need a hint? :-)
\stophint
\endhint

\beginanswer
\startanswer[a:Test]
This is the answer to the second question. 

(Note that this answer has a reference named \type{a:Test}).
\stopanswer
\endanswer

\startquestion[q:Obvious]
This is the third question, an easy one, without a given solution.
\stopquestion

% we increment here the counters for Answer
\noanswer

\startquestion[q:2]
This is the fourth question with its own reference.
\stopquestion

\beginhint
\starthint
Do you really need a hint? :-)
\stophint
\endhint

\beginanswer
\startanswer
This is the answer to the fourth question: use the result of \in{Question}[q:1].
\stopanswer
\endanswer

\startquestion 
This is the fifth question, without its own reference. 

({\it Hint:} look again at \in{Question}[q:Obvious]).
\stopquestion

\beginhint
\starthint
Do you really need a hint? :-)
\stophint
\endhint

\beginanswer
\startanswer
This is the answer to the fifth question. Read again \in{Answer}[a:Test].
\stopanswer
\endanswer  

\stopchapter

% Here we say ownnumber=1, in order to match the prefix 
% of numbers associated to Answer
\startchapter[ownnumber=1,title=Hints]
\useblocks[hint]
\stopchapter

\startchapter[ownnumber=1,title=Answers and solutions]
\useblocks[answer]
\stopchapter

\stoptext
%%%% end interactive-question-hint-answer.tex


On 1 Feb 2019, at 04:10, Sanjoy Mahajan <sanjoy@olin.edu> wrote:

Thank you, Matthias and Wolfgang, for the examples/solutions.

If I understand them right, there must be one solution for each exercise
(otherwise the solution numbering gets out of sync).  Or do the
coupling= options in Matthias's example remove that restriction?  In my
experiments with the examples, deleting the first solution
unsynchronized the exercise--solution numbering, no matter how I fiddled
with the coupling keys.

In the ideal pedagogical world, I'd write a solution for each exercise.
But reality might intervene, so I still wonder if the solutions can
automatically know and include the exercise number (perhaps by placing
\startanswer..\stopanswer inside \startexercise..\stopexercise and using
\getnumber[exercise]).  If there is a clever way, that's great.  But,
the nature of TeX as a macro language may preclude the \getnumber code
being evaluated just when one wants.

Regards,
-Sanjoy
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