Direction sense: Reasoning Ability Notes for Maharashtra Police Constable

Direction Sense – Reasoning Ability

(Maharashtra Police Constable – Reasoning Ability Section)

1️⃣ Simple Explanation

Direction‑sense questions test your ability to visualize and deduce the relative positions of objects when only a few directional clues are given.
Typical elements you encounter:

Element	Meaning
Cardinal directions	N, S, E, W
Intercardinal directions	NE, SE, SW, NW
Relative positioning	“to the left of”, “behind”, “in front of”
Turning	“to the right”, “to the left” from a given orientation
Multiple objects	Statements may involve more than two objects

The goal is to draw a mental map (or a quick sketch) and read off the requested relation.

2️⃣ Key Points to Remember

#	Key Point	Why It Matters
1	Always start with a reference point. Pick the first object mentioned and put it at the centre of your mental map.	Gives a stable base to place all others.
2	Use a compass rose (N at top, E right, S bottom, W left). Intercardinal points are halfway between the two adjacent cardinal points.	Prevents mistaken orientation.
3	Left/Right is always relative to the current orientation. If someone is “to the left of X”, think of X facing you.	Avoids errors when multiple turns are involved.
4	“In front of / behind” are the same as “north / south” only if the reference object is facing north. If orientation changes, adjust accordingly.	Keeps directional relationships consistent.
5	When a statement involves a turn, first determine the new direction of the object. Example: “A turns right and faces B” → A now faces east if originally north.	Clarifies subsequent relations.
6	Check consistency after placing each object. If a later statement conflicts, re‑examine earlier placements.	Helps catch early mistakes.
7	Use a systematic approach: list all given facts → draw a quick sketch → verify all statements.	Reduces confusion in multi‑object problems.
8	Remember the ‘90°, 180°, 270°’ rule – left turn = −90°, right turn = +90°, opposite = 180°.	Useful for mental rotation.
9	Keep track of “backward” relationships – often the trickiest part.	Prevents misreading “behind” vs “in front of”.
10	Practice speed – with a few minutes you can solve most problems.	Crucial for exam time management.

3️⃣ Worked Example

Problem

A is north of B.

C is to the left of A.

D is south of B.

B is behind E.

E is to the right of D.
Question: Where is C relative to E?

Step‑by‑Step Solution

Step	Action	Reason
1	Place B at the centre.	Common reference.
2	A is north of B → Put A above B.	From statement 1.
3	C is to the left of A → Left of A means west of A.	From statement 2.
4	D is south of B → Put D below B.	From statement 3.
5	E is to the right of D → Right of D means east of D.	From statement 5.
6	B is behind E → If E faces us, “behind” means south of E. Thus B is south of E.	From statement 4.
7	Check consistency	B is south of E, but we already placed B at the centre. So E must be north of B.
8	Combine	E is north of B, D is south of B, so D is south of E.
9	Locate C	C is west of A. A is north of B. B is south of E. Thus C is northwest of B, which is west‑north of B. Since E is north of B, C ends up west‑south‑west of E? Let's map precisely:
10	Sketch
	```
C

A

B-----D

E
```
11	Read relation	From the sketch, C is west‑north‑west of E (i.e., to the left and slightly above E).
12	Answer	C is to the left (west) and slightly above (north) of E → C is northwest of E.

Answer: C is northwest of E.

(Tip: In exams, you can mark C as “left of E” if the question accepts a broad direction; otherwise specify “north‑west”.)

4️⃣ Quick Revision Summary

Topic	What to Remember
Compass basics	N top, E right, S bottom, W left; intercardinal = middle of two
Left/Right	Relative to the observer’s orientation
In front / behind	Same as N / S if observer faces north; adjust otherwise
Turning	Right = +90°, Left = –90°, Opposite = 180°
Procedure	1. List facts 2. Sketch 3. Verify 4. Answer
Common pitfalls	Mis‑reading left/right after a turn; confusing “behind” with “north”