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You could ask the person that "What would the other person answer if I ask him the road to heaven". Whatever the answer or the road he points to, take the other road.

Case 1: If you ask the one who always speaks the truth, he would say that the other community guy would lie and show you the wrong road.

Case 2: If you ask the one who always lies, he would lie and say that the truthful person would choose the one that is the wrong road as well.

So, in either case, the road either person would show you is the wrong road, so take the other road.

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A Way Around It (that probably would not work):

The 2 people do not know you and you know that one always lies and the other always tells the truth. Ask them both a question to which neither one could know the truth and the answer must be a "yes" or "no", such as, "Do you know what really, really irritates me?" or "Do you know the name of my first pet?"

The one that always lies, not knowing the answer, would lie and say "Yes", while the one that always tells the truth would say "No". Having determined which is the liar and having used your only question, you say (not ask a question because you were only allowed one question, but the riddle said nothing about non-questions), "Point to the road to Heaven." The one you know is the liar will point to the road to Hell and the honest one will point to the road to Heaven - the road you will follow.

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It's better to use propositional calculus even if it seems more complex cos then you'd be able to solve the puzzle even when there's only 1 person at the crossroad ...

Suppose

Statement Letter A means : The left path leads to heaven

Statement Letter B means : You are a truth teller

Now let's build a truth table, representing the answer to the propositional question , which should be True whenever the left road leads to heaven and False otherwise ...

A B

F F | F*

F T | F

T F | T*

T T | T

* We should be very careful when B is False because this means that the person is a liar and our truth answers will get inversed. So to make up for that, we modify the table to get something like :

A B

F F | T

F T | F

T F | F

T T | T

Now by using our knowledge of CNF ( Conjunctive Normal Form) we get

((¬ A) � (¬ B)) � (A� B ) which means

You are not a truth teller and the left path does not lead to heaven, or you are a truth teller and the left path leads to heaven ?

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Hasn't anyone here ever seen Labyrinth?

"Would the other person say this (say, the left road, for instance) is the road to Heaven?"

It doesn't matter which person you ask, or whether they're lying or telling the truth; if they say "no", it's the road to Heaven; if they say "yes", it's the road to Hell.

---

* This is based on the Liar's Paradox and is asked and answered several times in other questions.

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Oh come on people - the answer is quite simple really.

Just ask yourself - what's neither in heaven nor in hell? By asking yourself that it becomes obvious really fast that you can't really say for certain what exactly is in heaven OR hell. The only thing you really know that'll be in either place is...(drumroll)

The people you used to know!

Now it's quite obvious that everyone you ever saw or heard of will NOT be at one place. Some loved ones, people you admired, people you looked up to, even though you'd like to have all of them in one place...

When all is said and done,

Not all will be at one.

So ask the riddler, ask the face

Only Truth will sadly tell,

Crack the mask of burning hell,

And lead you to the holy place

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10y ago

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