Direction Sense Test
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Cheat Sheets
Study MaterialDirection Sense Test – Cheat Sheet
Direction Sense Test is an important topic in Logical Reasoning, frequently tested in SSC, Banking, Railway, UPSC, Defence, Insurance, CAT, and other competitive examinations.
This cheat sheet helps candidates solve direction sense problems involving cardinal and intermediate directions, left/right turns, distance calculation using Pythagoras theorem, shadow problems, sunrise/sunset concepts, coded directions, and shortcut techniques for quick problem-solving.
About This Cheat Sheet
Complete guide to Direction Sense Test for competitive exams:
Cardinal Directions
- North, South, East, West
- Opposite Directions
- Direction Diagram
- Basic Navigation
Intermediate Directions
- North-East (NE)
- North-West (NW)
- South-East (SE)
- South-West (SW)
Left/Right Turns
- Clockwise Rotation
- Anti-Clockwise Rotation
- 90°, 180°, 135° Turns
- Turn Rules
Distance Calculation
- Pythagoras Theorem
- Shortest Distance
- Displacement Problems
- Net Distance
Shadow Problems
- Morning Shadows
- Evening Shadows
- Sunrise/Sunset
- Shadow Direction
Coded Directions
- Symbol-Based
- Code Decoding
- Direction Mapping
- Mixed Coding
Route Problems
- Path Following
- Direction Puzzles
- Multi-Step Movements
- Final Position
Shortcut Techniques
- Quick Diagram Drawing
- Elimination Method
- Angle Recognition
- Exam-Oriented Tricks
Topics Covered
This cheat sheet covers all important Direction Sense Test topics for quick revision:
| Topic | Description | Key Rule / Formula |
|---|---|---|
| Cardinal Directions | N, S, E, W and their opposites | N↔S, E↔W |
| Intermediate Directions | NE, NW, SE, SW | 45° between cardinal directions |
| Left Turn Rules | Direction after turning left | N→W, S→E, E→N, W→S |
| Right Turn Rules | Direction after turning right | N→E, S→W, E→S, W→N |
| Angle-Based Turns | 90°, 180°, 135°, 45° changes | Use direction diagram |
| Pythagoras Theorem | Finding shortest distance | d = √(a² + b²) |
| Shadow Direction | Morning: Sun East → Shadow West | Evening: Sun West → Shadow East |
| Sunrise/Sunset | Sun rises in East, sets in West | Shadow opposite to sun |
| Coded Directions | Using symbols for directions | Decode and apply rules |
Key Rules & Reference Tables
Left/Right Turn Rules
| Facing | Left | Right |
| North | West | East |
| South | East | West |
| East | North | South |
| West | South | North |
| NE | NW | SE |
| NW | SW | NE |
| SE | NE | SW |
| SW | SE | NW |
Shadow Directions
| Time | Sun | Shadow |
| Sunrise (6 AM) | East | West |
| Morning (7 AM) | SE | NW |
| Noon (12 PM) | Overhead | Short/downward |
| Afternoon (3 PM) | SW | NE |
| Sunset (6 PM) | West | East |
Angle-Based Turns
| Angle | Change |
| 45° | Half-turn (N → NE) |
| 90° | Quarter-turn (N → E) |
| 135° | Three-quarter (N → SE) |
| 180° | Half-turn (N → S) |
Pythagoras Theorem
| Scenario | Formula |
| Find Distance | d = √(a² + b²) |
| Find Direction | tan θ = opposite/adjacent |
| Net Displacement | d = √(x² + y²) |
Why This Cheat Sheet is Important
Master Directions
Learn cardinal, intermediate directions and turn rules with confidence.
Calculate Distances Fast
Apply Pythagoras theorem to find shortest distance and displacement quickly.
Solve Shadow Problems
Understand sunrise/sunset concepts and shadow direction logic easily.
High Exam Weightage
Direction Sense questions appear frequently in reasoning sections.
Competitive Exams Covered
- SSC CGL
- SSC CHSL
- SSC MTS
- Bank PO & Clerk
- IBPS Exams
- Railway Recruitment Exams
- UPSC CSAT
- Defence Exams
- Insurance Exams
- CAT
- State Government Exams
Quick Exam-Oriented Examples
Question 1:
A person walks 10 km towards North. He then turns right and walks 10 km. In which direction is he from the starting point?
Step 1: Start at point O. Walk 10 km North → point A.
Step 2: Turn right from North → facing East.
Step 3: Walk 10 km East → point B.
Step 4: From O to B: North then East = North-East direction.
Answer: North-East
Question 2:
A person is facing East. He turns 90° clockwise, then 90° anti-clockwise. Which direction is he facing now?
Step 1: Facing East.
Step 2: 90° clockwise from East → facing South.
Step 3: 90° anti-clockwise from South → facing East.
Answer: East
Question 3:
A person starts walking towards South. He turns left, then right, then left again. In which direction is he walking now?
Step 1: Start facing South.
Step 2: Left from South → facing East.
Step 3: Right from East → facing South.
Step 4: Left from South → facing East.
Answer: East
Question 4:
A person walks 6 km East, then 8 km North. What is the shortest distance from the starting point?
Step 1: Draw a right triangle with legs 6 km and 8 km.
Step 2: Shortest distance = hypotenuse = √(6² + 8²)
Step 3: = √(36 + 64) = √100 = 10 km
Answer: 10 km
Question 5:
A person walks 5 km North, then 12 km East, then 5 km South. What is the net displacement?
Step 1: North 5 km, then South 5 km cancel each other.
Step 2: Net movement = 12 km East.
Answer: 12 km East
Question 6:
A person walks 10 km North, turns right and walks 10 km, turns right and walks 10 km, turns right and walks 10 km. Where is he now?
Step 1: Start at O. 10 km North → A.
Step 2: Right from North = East. 10 km East → B.
Step 3: Right from East = South. 10 km South → C.
Step 4: Right from South = West. 10 km West → D.
Step 5: D is the starting point O.
Answer: Starting point
Question 7:
In the morning, a person's shadow falls to his left. In which direction is he facing?
Step 1: Morning: Sun is in the East.
Step 2: Shadow falls opposite to the Sun → Shadow falls in the West.
Step 3: Shadow is to his left → West is left of the person.
Step 4: If West is left, the person is facing South.
Answer: South
Question 8:
In the evening, a person's shadow falls to his right. In which direction is he facing?
Step 1: Evening: Sun is in the West.
Step 2: Shadow falls opposite to the Sun → Shadow falls in the East.
Step 3: Shadow is to his right → East is right of the person.
Step 4: If East is right, the person is facing South.
Answer: South
Question 9:
If @ means North, # means South, & means East, and $ means West, then what is @ & # $?
Step 1: @ = North, & = East, # = South, $ = West
Step 2: North → East → South → West
Step 3: This is a 90° clockwise rotation from North.
Answer: The person faces West
Question 10:
A person starts from point P, walks 8 km East to Q, then turns left and walks 6 km to R. How far is he from P and in which direction?
Step 1: P → Q: 8 km East. Q → R: left from East = North, 6 km.
Step 2: Distance PR = √(8² + 6²) = √(64+36) = √100 = 10 km.
Step 3: Direction: East + North = North-East.
Answer: 10 km, North-East
Question 11:
A person is facing North-West. He turns 135° clockwise. Which direction is he facing now?
Step 1: Facing North-West (NW).
Step 2: 135° clockwise from NW.
Step 3: 90° from NW → NE; 135° from NW → East (45° past NE).
Answer: East
Final Takeaway
Direction Sense Test questions test your ability to navigate using cardinal and intermediate directions, apply turn rules, and calculate distances using Pythagoras theorem. The key is to draw clear diagrams, understand left/right turn rules, and apply shadow direction logic correctly.
Regular practice of direction sense problems with different scenarios will significantly improve your speed and accuracy. This cheat sheet serves as a complete revision resource for mastering Direction Sense Test questions in competitive examinations.
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Explore cardinal directions, intermediate directions, left/right turn rules, distance calculation, shadow problems, coded directions, and shortcut techniques in one place for quick and effective revision.
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