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Town A lies to the north of Town B. Town C lies to the south of Town A. Town D lies to the northeast of Town C. Town E lies to the south of Town D. Town B lies to the northwest of Town E. Town B lies to the south of Town C. What is the position of Town E with respect to Town C?
Northwest
Northeast
Southwest
Southeast
Southeast
Plot the relative positions step-by-step on a Cartesian plane. Assign coordinates: C at (0,0), D at (x,y) where x>0, y>0 (northeast), E directly south of D, and B south of C.
Plot the relative positions step-by-step on a Cartesian plane. Assign coordinates: C at (0,0), D at (x,y) where x>0, y>0 (northeast), E directly south of D, and B south of C.
Step 1: Set Reference Point C
Assume Town C is at the origin (0, 0) on a Cartesian coordinate plane.
Step 2: Locate Town D
Town D lies to the northeast of Town C, meaning it is positioned to the right (East) and above (North) of C (positive x and positive y coordinates relative to C).
Step 3: Locate Town E
Town E lies to the south of Town D. Since D has a positive x-coordinate (east of C) and E is directly below D, E maintains a positive x-coordinate (East) and a lower y-coordinate relative to D. Given standard puzzle configurations where D is northeast of C and E is south of D, E lies to the southeast of C.
A: Northwest is incorrect because E lies to the right and below C, not top-left. B: Northeast is incorrect as E is south of D which places it in the lower half relative to C. C: Southwest is incorrect because E's x-coordinate is east of C, not west.
D is correct because Town E is positioned to the right (East) and below (South) of Town C, making it Southeast with respect to Town C.
Always assume standard cardinal directions (North up, South down, East right, West left) unless specified otherwise. Drawing a rough coordinate sketch prevents misinterpreting relative angles.
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