GATE 2024 EC – Question 2
P, Q, R, S, and T 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 S and Q are single children, and the room allocations shown below are acceptable to all, then, which one of the given options is the siblings?

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Correct answer: (A) P and T
Explanation
Siblings never share a room, so none of the pairs sharing a room in either allocation can be siblings: {P,R}, {T,S} (first allocation) and {P,Q}, {R,T} (second). S and Q are single children, so they are not siblings. The siblings must be two of P, R, T, and the only pair among them that never shares a room is P and T.