Comprehension
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?” The following questions are based on your visit to the island of Kya– Kya.
Question: 1

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

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In such logic puzzles, test both roles against the truthfulness constraint to see if the question itself can be asked.
Updated On: Aug 7, 2025
  • He is a 'No'.
  • He is a 'Yes'.
  • It is impossible for him to have asked such a question.
  • His type cannot be identified.
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The Correct Option is C

Solution and Explanation

In Kya–Kya island: - A 'Yes' type always asks questions whose truthful answer is 'Yes'. - A 'No' type always asks questions whose truthful answer is 'No'. If an islander asks, "Do I belong to the No type?" — - If he is a 'Yes' type, the truthful answer to the question is 'No' (since he is not a No type), which violates the rule that 'Yes' types only ask questions whose answer is 'Yes'. - If he is a 'No' type, the truthful answer to the question is 'Yes' (since he is indeed a No type), but a 'No' type would never ask a question whose truthful answer is 'Yes'. Hence, neither type can logically ask such a question, making the situation impossible.
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Question: 2

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:

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Always separate the logical truth of the statement from the truthfulness of the speaker, then test each assumption for contradiction.
Updated On: Aug 7, 2025
  • Ram is 'No', Laxman is 'Yes'.
  • Both are 'Yes'.
  • Ram is 'Yes', Laxman is 'No'.
  • Both are 'No'.
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The Correct Option is A

Solution and Explanation

Let us analyse: Laxman’s question: "Is at least one of us brothers of type 'No'?" Case 1: If Laxman is a 'Yes' type — he must be telling the truth. - If his answer is 'Yes', then at least one of them is indeed a 'No'. Since Laxman is a 'Yes', the 'No' must be Ram. Case 2: If Laxman is a 'No' type — he must be lying. - If he says 'Yes', the truthful answer is 'No', meaning neither of them is 'No'. This would make both 'Yes', which contradicts the assumption that Laxman is 'No'. - If he says 'No', the truthful answer would be 'Yes', meaning at least one is 'No', which again contradicts the lying rule. Only Case 1 is consistent: Laxman is 'Yes' and Ram is 'No'.
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Question: 3

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

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Identify whether the form of the question aligns only with one type's asking rule; if it does, you can identify their type with certainty.
Updated On: Aug 7, 2025
  • He was a 'No'.
  • He was a 'Yes'.
  • Such a situation is not possible.
  • No conclusion is possible.
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The Correct Option is A

Solution and Explanation

If the islander asks, "Am I of type 'Yes'?" — - If he is a 'Yes' type: The truthful answer to the question is 'Yes' (since he is of type 'Yes'), and he would indeed ask such a question. However, the 'Yes' type only asks questions with truthful answer 'Yes' — so the case is possible. - But analysing carefully: If you are being asked this question, his truthful answer would be 'Yes'. This means if he were a 'Yes' type, there is no trick — but in puzzle logic, the only way to get certain identification is when the question structure forces one type. Here, if he is 'No', the truthful answer is 'No', but a 'No' type would only ask such a question if the truthful answer were 'No'. This perfectly fits the 'No' type rule. Thus, hearing this question ensures he is a 'No' type.
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