Two doors with talking doorknockers - one always tells the truth and one always lies. One door leads to death other to escape. Only one question may be asked to either of the door knockers. What would that question be?
Given hint says that the question ought to be about both doors.
PS: There are a couple of similar questions on MSE but the answers to those are not satisfactory.
(Also,I have come across more complicated puzzles of this type.)
ADDED: I found this article helpful.
Let $L$ be the proposition that the left door leads to escape.
You ask a question $Q$ (some proposition). Let $R$ be the truth-telling/lying status of the person you ask (so true if the person is a truth-teller, false if the person is a liar). The response from this person is the truth value of $Q \Leftrightarrow R$.
So what you want to do is come up with some $Q$ such that $Q \Leftrightarrow R$ is equivalent to $L$. That is, you want the actual answer to your question to be the truth status of $L$.
Just make a truth table:
$\begin{array}{c|c|c|c} L & R & Q & Q\Leftrightarrow R \\ \hline T & T & ? & T \\ T & F & ? & T \\ F & T & ? & F \\ F & F & ? & F \end{array}$
I've made the $Q \Leftrightarrow R$ column match the $L$ column (because this is what we want).
Now you can fill in the $Q$ column such that it works (there's only one way):
$\begin{array}{c|c|c|c} L & R & Q & Q\Leftrightarrow R \\ \hline T & T & T & T \\ T & F & F & T \\ F & T & F & F \\ F & F & T & F \end{array}$
You see the answer is to set $Q$ equal to $L \Leftrightarrow R$.
That is, you can ask "Is it either the case that you're a truth-teller and the escape door is the left one, or the case that you're a liar and the escape door is the right one?" (There are equivalent ways to word this.) Then if the response is yes, go left, and if it's no, go right.