Question: You are walking on the road and come to a fork. You ask the inhabitants Ram, Laxman and Lila. ”Which road will take me to the village?”
The best way to solve these kinds of questions is to assume that one of the statements is either true or false and thus figure out whether there is consistency in what everyone is saying.
The first statement of Ram is obviously false, as he is saying that he never speaks to a stranger, when he actually is. So he must be new to those parts. This makes the second statement of Lila false. So she should be married to Ram. This makes the first statement of Ram false. So the left road should take you to the village.