Direction sense — Point X is in which direction with respect to Y? Statements: I. Point Z is at equal distance from both X and Y. II. From X, walk 5 km east; turn right and walk 5 km; turn right again and walk 5 km to reach Y.

Introduction / Context:
Find the relative direction of X from Y using movement instructions.

Given Data / Assumptions:

• I: Z is equidistant from X and Y (a locus statement; says nothing about bearing).
• II: Path from X → (E 5) → right (S 5) → right (W 5) = Y.

Concept / Approach:
Resolve net displacement from X to Y using vector addition.

Step-by-Step Solution:

Verification / Alternative check:
Sketching confirms a down-and-back Γ path ending directly south of start.

Why Other Options Are Wrong:

• I alone: infinite possibilities; no direction.
• Either alone / Both together not sufficient / Both together sufficient: incorrect because II alone already yields a unique direction.

Common Pitfalls:
Mistaking 'right' turn orientation; forgetting that right after heading east points south.

Final Answer:
Statement II alone is sufficient; Statement I alone is not sufficient. (X is north of Y.)