Relative position from start after rectangular path: Arun: A→B 10 km East, B→C 3 km North, C→D 12 km West, D→E 3 km South. From the starting point A, in which direction is point E?

Verbal Reasoning Direction Sense Test Difficulty: Easy
Choose an option
  • A
    East
  • B
    South
  • C
    West
  • D
    North
  • E
    None of these

Answer

Correct Answer: West

Explanation

Introduction / Context:A standard grid-walk with cardinal legs. We must identify the final location relative to the origin (A).

Given Data / Assumptions:

  • A→B: +10 x.
  • B→C: +3 y.
  • C→D: −12 x.
  • D→E: −3 y.

Concept / Approach:Sum x and y displacements separately to get E’s coordinates relative to A.

Step-by-Step Solution:

Net x = +10 − 12 = −2 (2 km West).Net y = +3 − 3 = 0.Therefore, E is due West of A.

Verification / Alternative check:Drawing a quick rectangle shows overshoot by 2 km to the west after returning south.

Why Other Options Are Wrong:

  • East/North/South would require nonzero x or y in those respective senses, which is not the case.

Common Pitfalls:Losing track of signs during the west leg; keep axes consistent.

Final Answer:West

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