Points on a grid: X is East of Y; Y is North of Z. P is East of Z. With respect to X, in which direction is P located?

Introduction / Context:This is a relative-position problem: you must visualize a simple coordinate layout and then compare two points. No distances are needed—only directions.

Given Data / Assumptions:

• Place Z at the origin for convenience.
• Y is North of Z → Y above Z.
• X is East of Y → X to the right of Y.
• P is East of Z → P to the right of Z on the same horizontal line as Z.

Concept / Approach:Assign coordinates: Z = (0,0), Y = (0,1), X = (1,1). Since P is East of Z on the same row, P = (1,0). Compare P relative to X: vector from X to P is (1,0) − (1,1) = (0, −1).

Step-by-Step Solution:

Verification / Alternative check:Sketch a 2×2 grid; the relationship is visually obvious: P is directly below X.

Why Other Options Are Wrong:

• West or South-West would require P to be left of X, which it is not.
• South-East would require P to be right and below X; P is directly below.

Common Pitfalls:Mixing “direction of P from X” with “direction of X from P.” Direction is not symmetric.

Final Answer:South