Three of the five students are allocated to a hostel put in special requests to the warden. Given the floor plan of the vacant rooms, select the allocation plan that will accommodate all their requests. Request by X: Due to pollen allergy, I want to avoid a wing next to the garden. Request by Y: I want to live as far from the washrooms as possible, since I am very much sensitive to smell. Request by Z: I believe in Vaastu and so I want to stay in South-West wing. The shaded rooms are already occupied. Wt is washroom. A. [Floor plan A] B. [Floor plan B] C. [Floor plan C] D. [Floor plan D]

GATE 2019 · General Aptitude · Direction Sense · medium

Answer: The correct allocation plan is D.

1. Eliminate options where Z is not in the SW wing: Examining the four floor plan options, only option D places Z in the South-West wing room (unshaded). Options A, B, and C place Z elsewhere or in a shaded (occupied) room in the SW wing.
2. Verify X and Y constraints in option D: In option D: X is allocated to a room in the wing that is NOT adjacent to the garden (X's pollen allergy constraint satisfied). Y is allocated to the room furthest from the washroom Wt (Y's smell-sensitivity constraint satisfied). No allocated room is shaded.