GATE EC 2024 Set 1 — Question 2
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General Aptitude → Analytical Aptitude → Deduction & Induction
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Question
, and have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the siblings should not share the same room. If and are single children, and the room allocations shown below are acceptable to all,
then, which one of the given options is the siblings?

Correct answer
(A) P and T
Solution
1.Identify potential siblings: We are told and are single children, so they cannot be part of the sibling pair. The siblings must be chosen from the remaining set: .
2.Analyze constraints: Siblings cannot share the same room.
3.Examine Allocation 1: share a room. Therefore, and cannot be siblings.
4.Examine Allocation 2: share a room. Therefore, and cannot be siblings.
5.Conclusion: Since the siblings must be a pair from and we have ruled out and , the only remaining possibility is that and are the siblings.
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