Kya-Kya Island Questioning Logic

CAT 1992 Slot 1 · DILR · Hard · Logical Reasoning

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Passage / data set

Kya–Kya is an obscure island which is inhabited by two types of people: the 'Yes' type and the 'No' type. Native of type 'Yes' ask only questions the right answer to which is 'Yes' while those of type 'No' ask only questions the right answer to which is 'No'. For example, the 'Yes' type will ask questions like "Is 2 plus 2 equal to 4?" while the 'No' type will ask questions like "Is 2 plus 2 equal to five?"

Question 1 of 3

If an islander asks, "Do I belong to the 'No' type?", which of the following is correct?

  1. A.

    He is a 'No'.

  2. B.

    He is a 'Yes'.

  3. C.

    It is impossible for him to have asked such a question.

  4. D.

    His type cannot be identified.

Answer

C

Explanation

The answer to this question can be neither 'No' nor 'Yes' as both would contradict the given conditions.

Question 2 of 3

Ram and Laxman are brothers from the Island. Laxman asks you, "Is at least one of us brothers of type 'No'?". You can conclude that:

  1. A.

    Ram is 'NO', Laxman is 'Yes'.

  2. B.

    both are 'Yes'.

  3. C.

    Ram is 'Yes', Laxman is 'No'.

  4. D.

    both are 'No'.

Answer

A

Explanation

The answer to the question has to be 'Yes' implying that Laxman is 'Yes', hence Ram has to be 'No'.

Question 3 of 3

You are approached by one of the islanders and asked, "Am I of type 'Yes'?". You can infer that:

  1. A.

    he was a 'No'.

  2. B.

    he was a 'Yes'.

  3. C.

    such a situation is not possible.

  4. D.

    no conclusion is possible.

Answer

D

Explanation

The answer to this question can be 'No' as well as 'Yes', so no conclusion is possible.

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