Direction Sense – Reasoning Ability
(For the Andaman & Nicobar Islands Patwari / Lekhpal Examination)
1. Simple Explanation
Direction sense tests your ability to determine the relative positions of objects or people when they move or stand in different directions.
- It is all about cardinal directions (North, South, East, West) and intermediate directions (NE, NW, SE, SW).
- You must keep track of turns (left/right) and distances while following a series of instructions.
- The goal is to answer questions such as “Where is X relative to Y?” or “After how many turns does the person face West?”
2. Key Points to Master
| # | Concept | How to Handle | Quick Tip |
|---|---|---|---|
| 1 | Cardinal & Intercardinal Directions | Remember the compass rose: N, NE, E, SE, S, SW, W, NW. | Visualize a clock face: 12 o’clock = North, 3 o’clock = East, 6 o’clock = South, 9 o’clock = West. |
| 2 | Relative Position Statements | “A is north of B” ⇒ A is above B. | If statement is reversed, flip the position. |
| 3 | Turning (Left/Right) | A left turn from North → West; a right turn from North → East. | Use a compass: turning left = counter‑clockwise, right = clockwise. |
| 4 | Distance Notation | “Three steps to the right” = move 3 units rightward. | Treat each step as a unit on a grid. |
| 5 | Consecutive Movements | Combine steps sequentially. End position = sum of all displacement vectors. | Write each move as a vector (Δx, Δy) and add them. |
| 6 | Finding Relative Position | After computing final coordinates, compare with the reference point. | Use sign of Δx (East/West) and Δy (North/South). |
| 7 | Multiple People/Objects | Assign a coordinate to each and apply the same procedure. | Keep a simple table: Person |
| 8 | Common Pitfalls | • Mixing up left/right when facing a different direction. • Forgetting that “east of” means the first object is to the right of the second. • Adding distances in wrong order. |
Double‑check orientation at each step. |
3. Worked Example
Problem
Six persons (A, B, C, D, E, F) stand on a flat ground as described:
- A is standing south of B.
- C is standing east of A.
- D is standing north of C.
- E is standing west of D.
- F is standing south of E.
Find the relative position of F with respect to B.
Step‑by‑Step Solution
| Step | Description | Vector from reference | Cumulative Position |
|---|---|---|---|
| 1 | A south of B | B → A : (0, –1) | A: (0, –1) relative to B |
| 2 | C east of A | A → C : (+1, 0) | C: (1, –1) relative to B |
| 3 | D north of C | C → D : (0, +1) | D: (1, 0) relative to B |
| 4 | E west of D | D → E : (–1, 0) | E: (0, 0) relative to B |
| 5 | F south of E | E → F : (0, –1) | F: (0, –1) relative to B |
Result
F is south of B.
Answer – South (or “below B” on a grid).
Visual Check (ASCII Grid)
N
|
W--B--E
|
A
|
C--D
|
F
S
(Note: The diagram is illustrative; the actual positions are relative to each other as computed.)
4. Quick Revision Summary
| Topic | What to Remember |
|---|---|
| Compass Rose | N (12 o’clock), NE (1:30), E (3), SE (4:30), S (6), SW (7:30), W (9), NW (10:30). |
| Left vs Right | Left = counter‑clockwise; Right = clockwise. |
| Distance Vectors | Treat each move as (Δx, Δy): East = (+1, 0), West = (–1, 0), North = (0, +1), South = (0, –1). |
| Relative Statements | “X is north of Y” → X = Y + (0, +1). |
| Combining Moves | Add vectors sequentially; final vector gives relative position. |
| Common Error Check | Verify orientation after each turn; keep signs consistent. |
| Practice Tip | Draw a simple 3×3 grid and plot each person’s moves; the picture often clarifies the answer. |
Final Thought
Direction sense problems are essentially vector addition on a 2‑D grid.
- Assign coordinates to a starting reference.
- Translate each instruction into a (Δx, Δy) vector.
- Sum up the vectors.
- Interpret the resulting coordinates relative to the reference point.
With practice, you’ll spot patterns quickly and answer confidently in the exam. Good luck!