Kya-Kya Island Questioning Logic
CAT 1992 Slot 1 · Data Interpretation & Logical Reasoning · Hard · Logical Reasoning
This is a hard Data Interpretation & Logical Reasoning question set from the CAT 1992 Slot 1 paper. It tests Logical Reasoning. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
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?
- A.
He is a 'No'.
- B.
He is a 'Yes'.
- C.
It is impossible for him to have asked such a question.
- D.
His type cannot be identified.
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:
- A.
Ram is 'NO', Laxman is 'Yes'.
- B.
both are 'Yes'.
- C.
Ram is 'Yes', Laxman is 'No'.
- D.
both are 'No'.
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:
- A.
he was a 'No'.
- B.
he was a 'Yes'.
- C.
such a situation is not possible.
- D.
no conclusion is possible.
D
Explanation
The answer to this question can be 'No' as well as 'Yes', so no conclusion is possible.
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