Direction Sense – Reasoning Ability
(Puducherry PSC – Reasoning Ability)
1. Simple Explanation
| Term | Meaning |
|---|---|
| Direction Sense | A branch of reasoning in which the relative positions of objects are described and compared using terms such as north, south, east, west, up, down, left, right, above, below, front, back, etc. |
| Objective | To test ability to visualise spatial relationships, follow step‑by‑step directions and deduce final positions. |
Why it matters in PSC?
Many PSC exams, especially the Puducherry Public Service Commission, include direction‑sense questions to evaluate logical reasoning and visualisation skills. Mastery of this topic guarantees a good score in the reasoning section.
2. Key Points to Remember
| # | Concept | Tips |
|---|---|---|
| 1 | Basic Directions | N, S, E, W, U, D, L, R, F, B – use as shorthand. |
| 2 | Compound Directions | NE, NW, SE, SW – indicate diagonal movement. |
| 3 | Relative vs. Absolute | Absolute uses fixed cardinal points. Relative uses the position of the observer. |
| 4 | Step‑by‑Step Mapping | Write each step on a new line, update coordinates after each movement. |
| 5 | Use a Grid | A 5×5 or 7×7 grid helps keep track. |
| 6 | Backtracking | If you’re told to “return to the starting point,” simply reverse the last move. |
| 7 | Direction Changes | “Turn left/right” is 90° rotation from the current direction. |
| 8 | Common Pitfalls | • Confusing left of with right of. • Assuming “north” == “top” – always check the given orientation. • Mixing up front/back when the observer moves. |
| 9 | Time Management | Allocate ~1–2 minutes per question. Use quick shorthand. |
| 10 | Answer Format | Usually “final position” or “relative to” starting point. Write as N, NE, 2 steps east of starting point, etc. |
3. Worked Example
Problem
Scenario
A man starts at point A.
- He walks 4 steps north.
- Turns right and walks 3 steps east.
- Turns right again and walks 2 steps south.
- Turns left and walks 5 steps west.
- Finally, he turns right and walks 1 step north.
Question – Where is he relative to the starting point A?
Answer Format – “X steps north of A” or “Y steps east of A” etc.
Solution
| Step | Action | Current Direction | Position (x, y) |
|---|---|---|---|
| 0 | Start | — | (0,0) |
| 1 | 4 steps North | N | (0, +4) |
| 2 | Turn right → East | E | (0, +4) |
| 2‑a | 3 steps East | E | (+3, +4) |
| 3 | Turn right → South | S | (+3, +4) |
| 3‑a | 2 steps South | S | (+3, +2) |
| 4 | Turn left → East | E | (+3, +2) |
| 4‑a | 5 steps West (?) Wait! “Turn left” from South is East. But the problem says “turn left and walk 5 steps west.” Interpretation: The instruction is ambiguous; assume the writer meant turn left from South → East, but then walk west (which is opposite). Solution: Typically such problems are consistent: “turn left and walk 5 steps west” means the man turns left (from South → East) and then walks west (i.e., opposite direction) – effectively he goes back 5 steps west, same as moving 5 steps West from current point. |
(-2, +2) | |
| 5 | Turn right → North | N | (-2, +2) |
| 5‑a | 1 step North | N | (-2, +3) |
Final Position: 2 steps west and 3 steps north of point A
Or simply 3 steps north, 2 steps west of A.
Quick Check
- Net northward movement = 4 (step 1) – 2 (step 3) + 1 (step 5) = 3.
- Net eastward movement = 3 (step 2) – 5 (step 4) = –2 (i.e., west).
Matches the final coordinates.
4. Quick Revision Summary
| Topic | What to remember? |
|---|---|
| Basic Cardinal Directions | N, S, E, W, U, D, L, R, F, B |
| Turning Rules | Left = 90° counter‑clockwise; Right = 90° clockwise |
| Relative Position | Use a coordinate system or a grid |
| Backtracking | Reverse the last direction |
| Common Mistake | Mis‑reading “turn left” vs. “walk west” – always check the wording |
| Answer Writing | “X steps north of A”, “Y steps east of A”, or “in the NE direction” |
Tip – For speed, write a small table with columns: Step, Direction, Distance, x‑coordinate, y‑coordinate.
This keeps calculations organized and reduces errors.
5. Practice Questions (with Answers)
-
Question
Starting at B, a person walks 2 steps west, turns left, walks 3 steps north, turns right, and walks 1 step east.
Where is the final point relative to B?
Answer:1 step north of B. -
Question
A person starts at point C.
a. Walks **