Direction sense — What is the direction of tower P with respect to tower Q? Statements: I. P is to the west of H, and H is to the south of Q. II. F is to the west of Q and to the north of P.

Introduction / Context:
We must determine the direction of P with respect to Q using two spatial statements. Direction-sense DS questions test whether a unique conclusion is implied without assuming distances or collinearity.

Given Data / Assumptions:

• I: P is west of H; H is south of Q.
• II: F is west of Q and north of P.
• Standard compass directions; distances are unspecified.

Concept / Approach:
Translate each statement to relative quadrants. With no distances, multiple placements can satisfy the constraints. We need uniqueness for a sufficient conclusion.

Step-by-Step Solution:

Verification / Alternative check:
Try to force a single compass word (e.g., 'north-east'). Distances remain free variables, so uniqueness fails.

Why Other Options Are Wrong:

• I alone: does not fix distances; multiple directions possible.
• II alone: gives only relative info via F; P vs Q undetermined.
• Either alone sufficient: false for the reasons above.
• Both together sufficient: still multiple arrangements exist.

Common Pitfalls:
Assuming equal distances or grid alignment that is not stated; reading 'west of' as a fixed offset; forcing diagonals without necessity.

Final Answer:
Both Statements I and II together are not sufficient.