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According to the map shown in the figure, which one of the following statements is correct? Note: The figure shown is representative. The map shows: Library (NW area), Canteen (NE area), Physics Lab (West side), Hospital (East side), 5th Cross Road (horizontal road in center), Hostel (SW area), Chemistry Lab (SE area), Classrooms (South area). A compass with +X pointing East and +Y pointing North is shown at the bottom-right. A. The library is located to the northwest of the canteen. B. The hospital is located to the east of the chemistry lab. C. The chemistry lab is to the southeast of physics lab. D. The classrooms and canteen are next to each other.

GATE 2025 · General Aptitude · Direction Sense · medium

Answer: The chemistry lab is to the southeast of physics lab. (Option C)

  1. Read building positions from the map: From the map (using +X = East, +Y = North): Library: NW zone (west, north of road). Canteen: NE zone (east, north of road). Physics Lab: West side, mid-north. Hospital: East side, mid-north. Chemistry Lab: SE zone (east, south of road). Classrooms: South-center. Hostel: SW zone.
  2. Check option A: Library is NW of Canteen: Library is in the NW zone and Canteen is in the NE zone. Library has lower X (further west) and similar or slightly higher Y than Canteen. This makes Library west of Canteen but at roughly the same latitude, not clearly northwest. The claim is ambiguous or depends on exact positions.
  3. Check option C: Chemistry Lab is SE of Physics Lab: Physics Lab is on the West side (low X, above road = high Y). Chemistry Lab is on the SE side (high X, below road = low Y). Compared to Physics Lab, Chemistry Lab has: higher X (East direction) and lower Y (South direction). Therefore Chemistry Lab is both East and South of Physics Lab, i.e., South-East. Option C is correct.
  4. Confirm B and D are false: Option B: Hospital is east of Chemistry Lab. Both are in the eastern part of the map; Hospital is north of Chemistry Lab, not east of it. False. Option D: Classrooms and Canteen are next to each other. Classrooms are in the south-center while Canteen is in the north-east, separated by 5th Cross Road. False.