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Answer: (A) North-west
Explanation
Standard cardinal and intercardinal directions can be represented by angles measured clockwise from North (0°): North = 0° North-East = 45° East = 90° South-East = 135° South = 180° South-West = 225° West = 270° North-West = 315°
The given shift shows: North-West (315°) becomes South (180°), which represents a rotation of 135° anti-clockwise (315° - 135° = 180°). North-East (45°) becomes West (270°), which is also a rotation of 135° anti-clockwise (45° - 135° = -90° = 270°).
Applying the same 135° anti-clockwise rotation to East (90°): 90° - 135° = -45° = 315°, which corresponds to North-West.