CAT 1993DILR Question 8

BasicsEasy
Passage / Data

Refer to the following information and answer the questions that follow.

“Kya – Kya” is an island in the South Pacific. The inhabitants of “Kya – Kya” always answer any question with two sentences, one of which is always true and the other always false.

You want to speak to the chief of the village. You question three inhabitants. Amar, Bobby and Charles. Only Bobby is wearing a red shirt.”
Amar says. “I am not Bobby’s son. The chief wears a red shirt.”
Bobby says, “I am Amar’s father. Charles is the chief.”
Charles says, “The chief is one among us. I am the chief.”
Who is the chief?

Answer & solution

  • A

    Amar

  • Bobby

  • C

    Charles

  • D

    None of them

Solution

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.

If you observe Charle’s statement carefully, you will figure out that his first statement is true and second statement is false. For instance, if his first statement is false, then his second statement cannot be true. There would be inconsistency in what he is talking. So Charles is not the chief. This makes Bobby’s second statement false and first statement true. So Bobby is Amar’s father and hence, Amar’s first statement is false. So his second statement must be true. This implies that the chief is wearing the red shirt. So Bobby is the chief.

CAT 1993 DILR Q8: You want to speak to the chief of the village. You question three inhabitants. Amar, Bobby and Charles. Only B — Solution | TheCATExam