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Town I is to the east of Town X. Town L is to the west of Town X. Town N is to the north of Town L. Town P is to the north-east of Town L. Town P is to the east of Town N. Town I is to the south-west of Town P. What is the position of Town P with respect to Town X?
West
North-east
South-west
East
North-east
Map positions relative to Town X using coordinates or a cross-axis: Place X at center (0,0), then systematically add town vectors.
Map positions relative to Town X using coordinates or a cross-axis: Place X at center (0,0), then systematically add town vectors.
Establish Coordinates
Let Town X be the origin (0,0). Given: Town I is East of X (+X), Town L is West of X (-X). Town N is North of L (-X, +Y).
Map Town P
Town P is North-East of L and East of N. This places P at the same Y-level as N, directly North of X (if P is East of N) or North-East of X.
Verification
Since P is East of N and N is North of L (which is West of X), P's Y-coordinate is North of X, and its X-coordinate aligns to be East of the vertical axis passing through X. Thus, P is North-East of X.
A: North-west is incorrect as P is East of N. C: West is incorrect as P is East of N. D: North is incorrect because while P is North of X, the 'North-east' description is more specific based on the relative East-ward shift from N.
B is correct because mapping the relative positions of X, L, N, and P shows P is situated in the North-East quadrant relative to Town X.
In directional puzzles, always draw a reference cross (N-S-E-W) at each mentioned point to maintain consistent relative distance and angle orientation.