Sunday, June 8, 2025

DIRECTIONS

 

πŸ“˜ DETAILED NOTES ON DIRECTIONS (Direction Sense Test)


🎯 What is the Direction Sense Test?

It tests a candidate’s ability to:

  • Understand and interpret directions (North, South, East, West).
  • Visualize movements or rotations based on verbal instructions.
  • Find the final direction or distance between initial and final points.

🧭 BASIC CONCEPTS

🧊 1. Main Directions

  • North (↑)
  • South (↓)
  • East (→)
  • West (←)

🧿 2. Cardinal Directions

  • North-East (NE)
  • North-West (NW)
  • South-East (SE)
  • South-West (SW)

πŸ”„ 3. Angle Between Directions

  • Each right angle = 90°
  • NE, NW, SE, SW are at 45° from cardinal directions

πŸ” RULES TO REMEMBER

Situation

Rule

Facing North, turn right

Face East

Facing North, turn left

Face West

Facing South, turn right

Face West

Facing South, turn left

Face East

Facing East, turn right

Face South

Facing East, turn left

Face North

Facing West, turn right

Face North

Facing West, turn left

Face South


πŸ“ KEY FORMULAS

  1. Distance Formula (for two-directional movement like North then East):

Distance=(x2+y2)\text{Distance} = \sqrt{(x^2 + y^2)}Distance=(x2+y2)​

  1. Right-angle triangle logic is often used.

✅ TIPS FOR SOLVING DIRECTION QUESTIONS

  1. Use a rough sketch.
  2. Fix North at the top of your page.
  3. Mark each turn and movement step-by-step.
  4. Draw arrows to trace movement.
  5. Understand facing direction at every step.

πŸ“Œ EXAMPLES WITH EXPLANATIONS


❓Example 1:

Q: Ram starts from point A, walks 4 km North, then turns right and walks 3 km. What is his final direction?

Solution:

  • 4 km North ↑
  • Turn right → East → 3 km
    Answer: East

❓Example 2:

Q: A person walks 5 km north, then turns left and walks 4 km. In which direction is he now from the starting point?

Solution:

  • 5 km North ↑
  • Turn left → West ← 4 km
    Answer: North-West

❓Example 3:

Q: A walks 3 km north, then 4 km east. What is the shortest distance from starting point?

Solution:
Using Pythagoras Theorem:

Distance=(32+42)=25=5 km\text{Distance} = \sqrt{(3^2 + 4^2)} = \sqrt{25} = 5 \text{ km}Distance=(32+42)​=25​=5 km

Answer: 5 km


πŸ§ͺ 100 PRACTICE QUESTIONS ON DIRECTION TEST


I will present them in sets of 20 with answers and explanations.


πŸ”’ SET 1: PRACTICE QUESTIONS (1–20)


1. A person walks 10 km north, turns right, walks 5 km. What is the final direction?

A) North
B) East ✅
C) West
D) South

Explanation: North → right → East


2. Riya walks 6 km south, then turns left and walks 4 km. Which direction is she facing?

A) East ✅
B) North
C) West
D) South


3. John walks 5 km west, turns right, walks 3 km. Then he turns right again and walks 5 km. How far is he from starting point?

A) 3 km ✅
B) 5 km
C) 8 km
D) 0 km

Explanation: Forms a rectangle → final distance = 3 km


4. Starting from a point, Sita walks 10 m north, then 10 m east, then 10 m south. How far is she from the starting point?

A) 10 m ✅
B) 20 m
C) 0 m
D) 5 m


5. A man walks 5 km east and then 12 km north. What is the shortest distance from his start point?

A) 17 km
B) 13 km ✅
C) 10 km
D) 15 km

Explanation: 52+122=169=13\sqrt{5^2 + 12^2} = \sqrt{169} = 1352+122​=169​=13


6. Rohit faces East, turns left, then left again. Which direction is he facing now?

A) East
B) West ✅
C) South
D) North


7. Ankit is facing north. He turns 90° clockwise, then 180° anti-clockwise. Which direction is he now facing?

A) South ✅
B) North
C) West
D) East


8. You go North, turn right, then right again. What is your final direction?

A) East
B) West
C) South ✅
D) North


9. Ravi walks 8 km North, turns right, walks 6 km, turns right, walks 8 km. How far is he from starting point?

A) 6 km ✅
B) 8 km
C) 0 km
D) 14 km

Explanation: He ends parallel and 6 km to the right.


10. A person walks 3 km East, then 4 km North. What is the shortest distance?

A) 7 km
B) 5 km ✅
C) 6 km
D) 4.5 km


11. Facing West, if you turn 270° clockwise, you face?

A) South
B) East ✅
C) North
D) West


12. Facing South, turn 90° right → then left. Final direction?

A) South ✅
B) West
C) East
D) North


13. A person walks 7 km west, 3 km south. Distance from start?

A) 10 km
B) 8 km ✅
C) 6 km
D) 9 km


14. Which direction is opposite of South-West?

A) North-East ✅
B) South-East
C) North-West
D) East


15. Latha walks North 10 m, turns right, walks 10 m, then left. Final direction?

A) North
B) East
C) North ✅
D) South


16. Facing North-West, turning 90° right, face?

A) North-East
B) South-West
C) North
D) North-East ✅


17. Walking East, turn 135° left, face?

A) North-West ✅
B) South-West
C) South-East
D) North-East


18. Facing South, turn 270° clockwise. Face?

A) East ✅
B) North
C) West
D) South


19. Face North, turn 45° right, then 90° left. Final direction?

A) North-West ✅
B) South
C) West
D) North


20. Which pair of directions are perpendicular?

A) East & North ✅
B) East & West
C) North & South
D) North & North-East


 

 

 

 

 


πŸ§ͺ PRACTICE QUESTIONS – SET 2 (21–40)


21. A girl walks 5 km North, turns left, walks 3 km, turns right, walks 2 km. Final direction?
Answer: North ✅
Explanation: North → left (West) → right (North)


22. Facing East, turn 180°. Which direction now?
Answer: West ✅


23. If you're facing South and turn 90° anti-clockwise, what direction do you face?
Answer: East ✅


24. Raj walks 3 km South, turns right, 4 km, then left 2 km. Final direction?
Answer: South ✅


25. A person moves 6 km North, 8 km East. Shortest distance?
Answer: 10 km ✅
Explanation: √(6² + 8²) = √100 = 10 km


26. Facing North-West, a turn of 135° clockwise lands you facing?
Answer: South ✅


27. 7 km West, 7 km South, shortest distance?
Answer: 9.9 km ✅
Explanation: √(7² + 7²) = √98 ≈ 9.9 km


28. You walk North 10 m, turn 180°, walk 10 m. Where are you?
Answer: Starting point ✅


29. Rani walks 12 km North, 5 km West. Distance from starting point?
Answer: 13 km ✅
Explanation: √(12² + 5²) = √169 = 13


30. Facing West, turn right → walk 10 m, left → walk 10 m. Final direction?
Answer: North ✅


31. Rohan walks 10 km South, turns left, 5 km, left, 10 km. Final position?
Answer: 5 km left of start ✅


32. 6 km East, turn left → walk 6 km. Final direction?
Answer: North ✅


33. Ravi faces East. He turns left, then right, then left. Final direction?
Answer: North ✅


34. Walk 6 m North, then 8 m South. Distance from start?
Answer: 2 m ✅


35. If facing NE, a 90° clockwise turn results in?
Answer: South-East ✅


36. Starting North, 45° left turn. Direction now?
Answer: North-West ✅


37. Move 4 km South, 3 km East, 4 km North. Final direction?
Answer: East ✅


38. Facing South, turn 45° right, then 90° left. Final direction?
Answer: South-East ✅


39. Start facing North. Turn right twice. Direction now?
Answer: South ✅


40. A person walks 6 km North, 8 km South. How far and in which direction from starting point?
Answer: 2 km South ✅


πŸ§ͺ PRACTICE QUESTIONS – SET 3 (41–60)


41. Walk 9 km East, then 12 km North. Shortest distance?
Answer: 15 km ✅


42. Facing East, turn 90° clockwise, then 90° anti-clockwise. Final direction?
Answer: East ✅


43. 5 km South, 3 km West. Shortest path?
Answer: √(25+9) = √34 ≈ 5.83 km ✅


44. Start facing West, turn left, then 180°. Final direction?
Answer: East ✅


45. A boy goes 4 km North, 3 km East, 2 km South. Final position?
Answer: 2 km North-East ✅


46. Face South-East, turn 90° right. Direction?
Answer: South-West ✅


47. 2 km North, 2 km East, 2 km South, 2 km West. Where now?
Answer: At starting point ✅


48. Ramesh is 10 m North of his house, then 6 m East. Distance from house?
Answer: √(10² + 6²) = √136 ≈ 11.66 m ✅


49. Face East, turn 135° clockwise. Direction?
Answer: South-West ✅


50. Walk 3 km East, 3 km North, 3 km West. Final position?
Answer: 3 km North ✅


51. Start West, turn right, then right, then right. Direction now?
Answer: South ✅


52. 4 m East, 3 m South. Shortest distance?
Answer: 5 m ✅


53. Start South, turn 180°, then 90° left. Final direction?
Answer: East ✅


54. Facing North-West, turn 90° anti-clockwise. Direction?
Answer: South-West ✅


55. 10 km East, 10 km South, 10 km West. Position from start?
Answer: 10 km South ✅


56. Walk 2 km North, 1 km East, 3 km South. Final direction?
Answer: South-East ✅


57. Face West, turn 270° anti-clockwise. Direction now?
Answer: South ✅


58. 6 km South, 8 km West. Shortest distance?
Answer: 10 km ✅


59. Face North-East, 135° clockwise. Direction now?
Answer: South ✅


60. Facing East, 3 right turns. Final direction?
Answer: North ✅


 

 

 

 

 

 

 

 

 

 


πŸ§ͺ PRACTICE QUESTIONS – SET 4 (61–80)


61. Start facing South, turn 90° right, then 90° right again. Direction?
Answer: North ✅


62. Walk 8 km North, 6 km East, 4 km South. Shortest distance?
Answer: √(4² + 6²) = √52 ≈ 7.21 km ✅


63. Facing West, a 180° turn results in?
Answer: East ✅


64. Facing South-East, turn 90° clockwise. Final direction?
Answer: South-West ✅


65. Raj faces South, turns 135° left. Direction now?
Answer: North-East ✅


66. Move 10 m East, then 10 m South. Position from start?
Answer: √(10² + 10²) = √200 = 14.14 m South-East ✅


67. Walk 6 km North, 6 km East, 6 km South. Direction now?
Answer: East ✅


68. Starting West, turn left → South, turn left → East. Direction now?
Answer: East ✅


69. A person walks 5 km West, then 5 km North. Final direction from start?
Answer: North-West ✅


70. Facing North, turn right, walk 4 km, turn left, walk 3 km. Final direction?
Answer: East ✅


71. Facing South-West, 90° left turn. Direction now?
Answer: South-East ✅


72. 3 km North, then 4 km South. How far from starting point?
Answer: 1 km South ✅


73. Facing North, turn 45° right, then 45° right. Final direction?
Answer: East ✅


74. Move 5 km East, then turn 225°. Final direction?
Answer: South-West ✅


75. You start facing South, turn left → walk, turn left → walk again. Direction now?
Answer: North ✅


76. Walk 5 km West, then 12 km North. Shortest distance?
Answer: √(5² + 12²) = 13 km ✅


77. Facing East, turn left twice. Direction now?
Answer: West ✅


78. Facing North-East, turn 180°. Direction now?
Answer: South-West ✅


79. Start North, turn right, then 90° clockwise. Direction?
Answer: South ✅


80. A man walks 2 km North, then 2 km West. Shortest distance?
Answer: √(2² + 2²) = √8 ≈ 2.83 km ✅


πŸ§ͺ PRACTICE QUESTIONS – SET 5 (81–100)


81. Face East, turn 90° clockwise, then 90° anti-clockwise. Direction?
Answer: East ✅


82. Move 6 m North, 8 m East. Direction from start?
Answer: North-East ✅


83. Facing North, turn 135° left. Final direction?
Answer: South-West ✅


84. Face South, 225° clockwise turn. Direction?
Answer: North-West ✅


85. A girl walks 3 km East, 4 km North. Shortest path?
Answer: 5 km ✅


86. Starting North, turn 90° clockwise → East, 90° clockwise → South. Direction now?
Answer: South ✅


87. Move 7 km West, then 24 km South. Shortest distance?
Answer: √(7² + 24²) = √625 = 25 km ✅


88. Face North-East, turn 90° anti-clockwise. Direction?
Answer: North-West ✅


89. Face East, 135° clockwise. Direction?
Answer: South-West ✅


90. Facing North-West, turn 180°. Face now?
Answer: South-East ✅


91. Walk 8 m North, 6 m East. How far from start?
Answer: 10 m ✅


92. Face South-East, turn 135° clockwise. Direction?
Answer: North-West ✅


93. Face South, turn 270° anti-clockwise. Final direction?
Answer: East ✅


94. Starting North, a 225° clockwise turn. Final direction?
Answer: South-West ✅


95. 10 km East, 10 km South. Direction from start?
Answer: South-East ✅


96. Walk 5 km North, then 12 km East. Shortest distance?
Answer: 13 km ✅


97. Walk 7 m South, then 24 m West. Distance from start?
Answer: 25 m ✅


98. Face North, turn 45° right, then 135° left. Final direction?
Answer: North-West ✅


99. Walk 6 km North, then 8 km South. Final direction?
Answer: South ✅


100. Facing East, turn 225° anti-clockwise. Final direction?
Answer: South-West ✅

 

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