Direction sense: Reasoning Ability Notes for Himachal Pradesh Police Constable

Direction Sense – Reasoning Ability

(For Himachal Pradesh Police Constable – Reasoning Ability Section)

1. Simple Explanation

Direction sense is the ability to understand and deduce the relative positions of objects (people, places, points, etc.) using cardinal directions (North, South, East, West) and relative directions (North‑East, South‑West, etc.).

In reasoning tests you will be given a set of statements such as “A is to the north of B” or “C is to the right of D” and you must infer the final relationship between two points that are not directly compared.

2. Key Points to Remember

Category	What to Look For	How to Process
Cardinal Directions	N, S, E, W	Treat them as axes on a coordinate grid.
Relative Directions	NE, NW, SE, SW	Combine two cardinal directions.
Spatial Relations	“left of”, “right of”, “above”, “below”, “next to”	Translate into cardinal directions based on the given viewpoint.
Rotations	90°, 180°, 270°	Remember that right‑hand rule: “to the right” = +90° rotation from current viewpoint.
Transitivity	If A is north of B, and B is north of C → A is north of C	Chain statements sequentially.
Compass & Map Reading	Use a compass rose or a small map sketch	Draw a quick diagram if the problem is complex.
Mental Rotation	Picture the scene from a different viewpoint	Helpful for “to the left of” and “to the right of” questions.
Common Traps	Over‑interpreting “next to” (it might mean close but not necessarily directly right/left)	Always check if the statement specifies exact direction.

3. Worked Example

Problem

A is to the north of B.

B is to the east of C.

C is to the south of D.

Question: What is the direction of A relative to D?

Solution Steps

Assign coordinates
- Place D at the origin (0, 0).
- Since C is south of D → C = (0, –1).
- B is east of C → B = (+1, –1).
- A is north of B → A = (+1, 0).
Determine A relative to D
- A’s coordinates (+1, 0) relative to D (0, 0) mean A is east of D.
Answer – East.

Visual Sketch (ASCII)

      N
      |
  C---D---?  (C south of D)
      |
      |
      B (east of C)
      |
      A (north of B)

4. Quick Revision Summary

Cardinal directions: N (+Y), S (–Y), E (+X), W (–X).
Relative directions: combine two cardinals → NE (+X,+Y), SW (–X,–Y), etc.
Transitivity: chain directional statements.
Rotations: “right of” = +90°, “left of” = –90°.
Mental map: draw a quick grid if the problem is multi‑step.
Beware of ambiguous terms (“next to”, “near”) – ask for exact direction when in doubt.
Practice: solve at least 5–10 direction‑sense problems daily.

5. Practice Questions

#	Statement	Question	Answer
1	X is to the left of Y. Y is above Z.	X relative to Z?	South‑West
2	M is north of N. N is east of O.	M relative to O?	North‑East
3	P is to the right of Q. Q is below R.	P relative to R?	South‑East
4	S is above T. T is to the right of U.	S relative to U?	North‑East
5	V is below W. W is to the left of X.	V relative to X?	South‑East

Tip: Sketch a quick diagram for each problem. Even a 2‑line ASCII map can clarify the chain of directions.

Final Note

Direction sense is a core skill for police work – from navigation to crime‑scene layout. Mastering these quick mental maps will not