GATE CS 2019 Set 1 — Question 10
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General Aptitude → Analytical Aptitude → Deduction & Induction
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Question
Three of the five students 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 sensitive to smell.
Request by Z: I believe in Vaastu and so want to stay in the South-west wing.
The shaded rooms are already occupied. WR is washroom.
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 sensitive to smell.
Request by Z: I believe in Vaastu and so want to stay in the South-west wing.
The shaded rooms are already occupied. WR is washroom.
Correct answer
(D) [figure]
Solution
Reading the compass. In every plan the compass arms point to the corners: N to the top-left, E to the top-right, S to the bottom-right and W to the bottom-left. So the four sides of the building are the wings:
- top side: North-east wing
- right side: South-east wing (the side with the Garden)
- bottom side: South-west wing
- left side: North-west wing
- Z wants the South-west wing, i.e. a room on the bottom side.
- X must avoid the wing next to the garden, i.e. must not be on the right side.
- Y wants to be as far from the washrooms as possible, i.e. on the right side (the washrooms are on the left).
- (A) Z is on the left side (North-west wing). Fails.
- (B) Z is on the left side, and X is in the top-right room next to the garden. Fails.
- (C) Z is on the top side (North-east wing). Fails.
- (D) Z is on the bottom side (South-west wing), X is on the bottom side away from the garden, and Y is on the right side, farthest from the washrooms. All three requests are met.
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