Direction sense: Reasoning Ability Notes for Ladakh TET (Teacher Eligibility)

Direction Sense – Reasoning Ability

(Ladakh TET – Teacher Eligibility Test)

1. Simple Explanation

Direction sense tests a candidate’s ability to visualise spatial relationships and to keep track of a set of directions (North, South, East, West, and intermediate directions such as NE, SE, etc.).
In puzzles, you often have to:

Follow a sequence of turns (e.g., “turn left, then right, then 90° ahead”).
Determine the final orientation of an object or person.
Locate a point relative to another point (e.g., “A is exactly to the left of B, B is 2 m north of C”).

The key skill is to keep a mental “compass” and update it after each instruction.

2. Key Points

#	Concept	How to Approach
1	Basic Directions	N, S, E, W
2	Intermediate Directions	NE, SE, SW, NW
3	Angles	90° = right/left turn; 180° = reverse; 45° = diagonal
4	Relative Position	“to the left/right of”, “north of”, “south‑east of”
5	Sequence of Moves	Write down each move on paper, update orientation after each step
6	Clock Face Analogy	12 → N, 3 → E, 6 → S, 9 → W; 1 → NE, 2 → NE, etc.
7	Symmetry & Repetition	Recognise patterns (e.g., turning 4×90° brings you back to start)
8	Use of a Compass or Diagram	When complex, draw a quick sketch; mark points A, B, C, etc.

3. Worked Example

Problem

A train starts from point P heading north.
It travels 5 km, turns right, travels 3 km, turns left, travels 2 km, and then turns right again and travels 4 km.
Where is the final position relative to P?

Step‑by‑Step Solution

Step	Action	Direction	Distance	Cumulative Position (from P)
1	Start at P heading North	N	–	(0, 0)
2	Travel 5 km north	N	5	(0, +5)
3	Turn right → Facing East	E	–	(0, +5)
4	Travel 3 km east	E	3	(+3, +5)
5	Turn left → Facing North	N	–	(+3, +5)
6	Travel 2 km north	N	2	(+3, +7)
7	Turn right → Facing East	E	–	(+3, +7)
8	Travel 4 km east	E	4	(+7, +7)

Result – Final point is 7 km east and 7 km north of P, i.e., NE of P.
If you need a single direction, it is NE (since both coordinates are equal).

Visual Sketch

      N
      ↑
      |
      |   P (0,0) → 5 km → (0,5)
      |
      | --------------------→ 3 km → (3,5)
      |                         |
      |                         | 2 km → (3,7)
      |                         |
      |                         |→ 4 km → (7,7)
      |
      --------------------→ East

4. Quick Revision Summary

Topic	Quick Check
Basic directions	N, S, E, W – 90° turns = left/right
Intermediate	NE, SE, SW, NW – 45° turns
Turning right	+90° (clockwise)
Turning left	–90° (counter‑clockwise)
Reversing	+180° or –180°
Sequence	Write down each move, update orientation
Relative position	“to the left/right of” → use compass
Final answer	Express as a direction or as coordinates (Δx, Δy)

Tip for TET

Practice with quick mental sketches.
Memorise that right means clockwise and left means counter‑clockwise.
For problems with many turns, keep a simple “direction list” on a sheet:
```
Start N
R → E
L → N
R → E
...
```
Always check if the distance traveled in opposite directions cancels out (e.g., 5 km north then 5 km south → net 0).

Good luck!