Direction sense: Reasoning Ability Notes for Delhi Police Constable

Reasoning Ability – Direction Sense

Delhi Police Constable (DP Constable) – Study Notes

1. Simple Explanation

Direction sense in reasoning tests checks your ability to follow a chain of movements or turns, and to deduce relative positions.
Typical questions give you a starting direction (North, South, East, West, or a 45° direction like North‑East) and a series of instructions such as “turn left”, “go 3 steps”, “move 90° right”, etc.
Your job is to find out where the subject ends up—what direction they are facing, or where a person/object is located relative to a reference point.

Why it matters
Police work involves navigation, coordination, and quick decision‑making. Mastering direction sense sharpens spatial reasoning and reduces errors in real‑world tasks.

2. Key Points & Rules

Concept	What It Means	How to Use
Cardinal Directions	N, S, E, W	Basic compass points.
Intercardinal (Intermediate) Directions	NE, SE, SW, NW	45° between cardinal points.
Relative Directions	Left, Right, Same, Opposite	Dependent on current facing direction.
Turning Rules	Left = 90° counter‑clockwise, Right = 90° clockwise, U‑turn = 180°.	Keep track of multiple turns.
Degrees & Orientation	0° = North, 90° = East, 180° = South, 270° = West.	Convert turns to degrees for accuracy.
Grid / Coordinate System	Use a simple x‑y grid (East = +x, North = +y).	Helpful for “distance”‑based problems.
Direction of Movement vs. Facing	The subject may face one way but move another (e.g., “turn left, then walk”).	Pay attention to “walk” vs. “turn”.
Clockwise (CW) vs. Counter‑Clockwise (CCW)	CW = Right turns, CCW = Left turns.	Many problems describe turns in CW/CCW terms.
Relative to Others	“To the left of X” or “in front of Y”	Resolve using the relative orientation of X or Y.

Quick Turn Table

Turn	Degree Change	New Facing
Right	+90°	CW
Left	–90°	CCW
U‑turn	+180°	Opposite
45° Right	+45°	Diagonal
45° Left	–45°	Diagonal

3. Worked Example

Problem

*A police officer starts at point A facing North.

He walks 5 steps forward.

He turns right and walks 3 steps.

He turns left and walks 4 steps.

He turns right twice (i.e., a 180° turn) and walks 2 steps.

Finally, he turns left and walks 1 step.
Where is he relative to point A, and which direction is he facing now?*

Step‑by‑Step Solution

Step	Action	Direction Before	Direction After	Movement Vector (x, y)
1	Walk 5 steps	North	North	(0, +5)
2	Turn right	North	East	(3, +5)
3	Walk 3 steps	East	East	(3, +5)
4	Turn left	East	North	(3, +8)
5	Walk 4 steps	North	North	(3, +8)
6	Turn right twice	North	South	(3, +6)
7	Walk 2 steps	South	South	(3, +6)
8	Turn left	South	East	(4, +6)
9	Walk 1 step	East	East	(4, +6)

Result

Final position relative to A: 4 steps East, 6 steps North → NE of A (but not at a 45° angle).
Final facing direction: East.

Visualization (optional)

     N
     |
     |   (0,+5)  →  (3,+5)
     |  (0,0) A
     |   (3,+8)  →  (3,+6)
     |   (3,+4)  →  (4,+6)
     +------------------- E

4. Quick Revision Summary

Cardinal + Intercardinal: N, NE, E, SE, S, SW, W, NW.
Turning:
- Left = –90° (CCW)
- Right = +90° (CW)
- U‑turn = 180°
- 45° turns = ±45°
Keep track of both facing direction and movement direction.
Use a grid: East = +x, North = +y; helps with distance calculations.
Always note the starting direction; every turn is relative to that.
Practice mental rotation: imagine a compass wheel turning around the subject.
Solve systematically: write down direction after each instruction, then add the movement vector.

*Tip