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Sense of Direction and Distance

Practice MCQs

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Reasoning Ability Sense of Direction and Distance Competitive Exams

Sense of Direction and Distance questions test your ability to track movement, direction changes, turns, and final distance from the starting point. These questions are common in reasoning exams because they check spatial understanding and logical movement.

What are Direction and Distance Questions?

In direction sense questions, a person starts from a point and moves in different directions such as north, south, east, and west. You must identify the final direction, final position, or shortest distance from the starting point.

These questions may also include left turns, right turns, opposite directions, diagonal distance, and movement along a path.

Quick idea: Always draw a rough direction diagram. Mark the starting point, each turn, and the final point.
Question Type What is Asked? Example
Final Direction Direction from starting point or current point He is now facing East
Final Distance Shortest distance from starting point 3 km east and 4 km north
Left / Right Turns Direction after turns Turns left from North
Opposite Direction Direction exactly opposite to given direction Opposite of East is West
Map Movement Track complete movement path Walks 5 km north, then 3 km east

“Direction questions become simple when every movement is drawn step by step.”

Reasoning Tip
Key Points
  • Always mark North first.
  • Draw the movement path roughly.
  • Track every left and right turn.
  • Cancel opposite movements when possible.
  • Use Pythagoras for diagonal shortest distance.
  • Check whether question asks direction or distance.
north south east west

Basic Direction Chart

The four main directions are North, South, East, and West. The intermediate directions are North-East, North-West, South-East, and South-West.

North-West
NW		 North
N		 North-East
NE
West
W		 Start East
E
South-West
SW		 South
S		 South-East
SE
Remember: On a map, North is usually upward, South is downward, East is to the right, and West is to the left.
Direction Opposite Direction
North South
East West
North-East South-West
North-West South-East
Tip: Draw this compass quickly in the corner of your rough sheet before solving.

Left and Right Turn Rules

The result of a left or right turn depends on the direction you are currently facing.

Current Direction Left Turn Right Turn Opposite Direction
North West East South
South East West North
East North South West
West South North East
Important: Left and right are based on the person's facing direction, not on your viewing direction.

Distance Calculation Rules

Sometimes the actual walking distance and the shortest distance are different. The shortest distance is usually calculated using horizontal and vertical net movement.

Case Rule Example
Same Direction Add distances 5 km north + 3 km north = 8 km north
Opposite Directions Subtract distances 8 km north - 3 km south = 5 km north
Perpendicular Directions Use Pythagoras 3 km east and 4 km north gives 5 km shortest distance
Total Path Distance Add all movements 5 + 3 + 2 = 10 km walked
Final Direction Check net east-west and north-south movement East + North = North-East
For right-angle movement, use: \[ \text{Shortest distance} = \sqrt{(\text{East/West distance})^2 + (\text{North/South distance})^2} \]

Common Direction Question Patterns

Most questions are based on movement tracking, final direction, final distance, or turn-based logic.

1. Final Direction

Find the direction from the starting point.

4 km East + 3 km North
Final direction: North-East
2. Shortest Distance

Find direct distance from start to end.

3 km East + 4 km North
Distance = 5 km
3. Turn-Based Direction

Find direction after left or right turns.

Facing North, turns right
Now facing East
4. Opposite Direction

Find exact opposite direction.

Opposite of North-East
is South-West
Tip: If distance is asked, calculate net movement. If direction is asked, check the final position from the starting point.

Step-by-Step Solving Method

Step Action Example
Step 1 Draw the direction chart. North up, South down, East right, West left
Step 2 Mark the starting point. Point A
Step 3 Draw each movement step by step. 5 km North, then 3 km East
Step 4 Cancel opposite movements if needed. 8 km North and 3 km South = 5 km North
Step 5 Find final direction or distance. East + North = North-East
Important: Do not depend only on mental calculation. A small rough diagram prevents most mistakes.

Worked Example 1: Final Direction

A person walks 5 km towards North, then turns right and walks 3 km. In which direction is he from the starting point?

Step Movement Position Change
1 5 km North Upward
2 Right turn from North = East, then 3 km Right side
Final position is towards North-East from the starting point.

Worked Example 2: Shortest Distance

A person walks 3 km towards East and then 4 km towards North. Find the shortest distance from the starting point.

East-West movement = 3 km
North-South movement = 4 km
\[ \text{Shortest distance} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = 5 \]

Therefore, the shortest distance is 5 km.

Worked Example 3: Direction After Turns

Ravi is facing East. He turns left, then turns right, and then turns right again. Which direction is he facing now?

Step Action Direction
Start Facing East
1 Left turn from East North
2 Right turn from North East
3 Right turn from East South
Ravi is now facing South.

Common Types of Direction and Distance Questions

Final Direction

Find direction from starting point.

  • North-East
  • South-West
  • East / West
  • Current direction
Shortest Distance

Find direct distance from start to end.

  • Use net movement
  • Use Pythagoras
  • Cancel opposite distances
  • Do not add path distance
Turn-Based Direction

Track left and right turns.

  • Start direction
  • Left turn
  • Right turn
  • Final facing direction
Opposite Direction

Find exact opposite direction.

  • North ↔ South
  • East ↔ West
  • NE ↔ SW
  • NW ↔ SE
Rule: Path distance is the total distance walked. Shortest distance is the direct distance from start to end. Do not confuse the two.

Solved Examples

Question Method Answer
A person walks 4 km East and 3 km North. Direction from start? East + North North-East
A person walks 3 km East and 4 km North. Shortest distance? \(\sqrt{3^2 + 4^2} = 5\) 5 km
Facing North, a person turns right. Direction now? Right of North is East East
Facing South, a person turns left. Direction now? Left of South is East East
Opposite of North-East? Opposite diagonal direction South-West
A person walks 8 km North and then 3 km South. Final distance from start? \(8 - 3 = 5\) 5 km North
A person walks 5 km West and 5 km East. Final distance? Opposite movements cancel 0 km
Facing West, a person turns right. Direction now? Right of West is North North

Note: For shortest distance, use only final displacement, not total walking distance.

Common Traps and Shortcuts

Common Traps
  • Confusing path distance with shortest distance.
  • Forgetting to cancel opposite movements.
  • Taking left and right from your view instead of person's facing direction.
  • Ignoring the starting point.
  • Not drawing the route step by step.
  • Confusing North-East with South-East.
Useful Shortcuts
  • Draw North, South, East, West first.
  • Use arrows for each movement.
  • Cancel North-South and East-West separately.
  • Use \(3, 4, 5\) triangle for quick distance.
  • Left of North is West; right of North is East.
  • For opposite direction, rotate 180 degrees.
Exam approach: Identify whether the question is based on final direction, shortest distance, turns, opposite direction, or net movement.

Practice

A) Multiple Choice Questions
  1. A person walks 4 km East and then 3 km North. In which direction is he from the starting point?
    North East North-East South-East
  2. A person walks 3 km East and 4 km North. What is the shortest distance from the starting point?
    5 km 6 km 7 km 12 km
  3. A person facing North turns right. Which direction is he facing now?
    East West South North
  4. What is the opposite direction of South-West?
    North-East North-West South-East East
  5. A person walks 10 km North and then 4 km South. How far is he from the starting point?
    4 km North 6 km North 10 km North 14 km North
B) Solve the Higher-Order Problems
  1. A person walks 6 km North, then 8 km East. Find the shortest distance from the starting point. Hint: Use Pythagoras.
  2. Ravi is facing West. He turns right, then left, and then right again. Which direction is he facing now? Hint: Track each turn step by step.
  3. A person walks 7 km East, 3 km West, and then 4 km North. In which direction is he from the starting point? Hint: Cancel East-West movement first.
  4. A person walks 5 km South, then 12 km East. Find the shortest distance from the starting point. Hint: Use \(5, 12, 13\) triangle.
  5. A person walks 9 km North, then 4 km South, then 6 km West. Find his final direction from the starting point. Hint: Find net North-South and East-West movements.
Reasoning Reminder

Direction and distance questions are solved best with a rough diagram. Mark the start point, track movement, cancel opposite directions, and use Pythagoras when the final movement forms a right triangle.

Task: Create five direction questions using final direction, shortest distance, left-right turns, opposite direction, and net movement.

Show Suggested Answers
Multiple Choice
  1. North-East
    East movement plus North movement gives North-East direction.
  2. 5 km
    \(\sqrt{3^2 + 4^2} = 5\).
  3. East
    Right turn from North gives East.
  4. North-East
    Opposite of South-West is North-East.
  5. 6 km North
    \(10 - 4 = 6\). He is 6 km North from the starting point.
Higher-Order Problems
  1. 6 km North and 8 km East form a right triangle.
    \[ \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = 10 \]
    Answer = 10 km.
  2. Facing West → right turn gives North → left turn gives West → right turn gives North.
    Answer = North.
  3. 7 km East - 3 km West = 4 km East. Then 4 km North.
    Final direction = North-East.
  4. 5 km South and 12 km East form a right triangle.
    \[ \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = 13 \]
    Answer = 13 km.
  5. 9 km North - 4 km South = 5 km North. Also 6 km West.
    Final direction = North-West.
Clue Explanation

Direction questions require tracking net movement. Opposite directions are subtracted, perpendicular directions form a right triangle, and final direction depends on the final position from the starting point.

Exam Tips
  • Draw a rough compass before solving.
  • Mark start and final point clearly.
  • Cancel opposite directions separately.
  • Use Pythagoras only for shortest distance.
  • Track left and right from the person's direction.
  • Check whether the question asks path distance or direct distance.
Practice MCQs