Direction Sense • Distance and direction • Shadow-based questions

Direction Sense: Full-Length Notes

Topics Covered:

  • Distance and Direction

  • Shadow-Based Questions


1. Introduction to Direction Sense

Direction Sense is a fundamental topic in logical reasoning and aptitude exams. It tests your ability to visualize and interpret movements, turns, and relative positions on the basis of cardinal directions (North, South, East, West) and their combinations (North-East, South-West, etc.)456.


2. Basics of Directions

  • Four Main Directions: North (N), South (S), East (E), West (W)

  • Four Intermediate Directions: North-East (NE), North-West (NW), South-East (SE), South-West (SW)

  • Reference Point: The starting position is usually taken as the reference point.

  • Right and Left Turns: Always consider the direction the person is currently facing to determine right and left4.


3. Distance and Direction Problems

A. Understanding Movement

  • Straight Movement: The person moves in a specified direction (e.g., 5 km North).

  • Turning: Right turn means a 90° turn to the right from the current direction; Left turn means a 90° turn to the left46.

  • Multiple Turns: Visualize or sketch the path step-by-step.

Example 1:

A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?
Solution:

  • 5 km South

  • Right turn → West, 3 km

  • Left turn → South, 5 km
    He is facing South from the starting point14.

Example 2:

Sandeep walks 60 m to the east, then turns left and walks 50 m, then turns right and goes 70 m, then turns right again and goes 50 m. How far is Sandeep from the starting point?
Solution:

  • 60 m East

  • Left → North, 50 m

  • Right → East, 70 m

  • Right → South, 50 m
    Total East = 60 + 70 = 130 m. Vertical displacement cancels (50 N, 50 S).
    Answer: 130 m East from starting point2.

Key Points:

  • Right Turn: From North → East, East → South, South → West, West → North

  • Left Turn: From North → West, West → South, South → East, East → North


B. Calculating Distance

  • Use the Pythagoras theorem for shortest (straight-line) distance if the path forms a right triangle.

  • For movements in a straight line with turns, sketch the path to visualize the final position68.

Example 3:

Nitara walks 1 km West, turns left, walks 1 km, turns left, walks 1 km, turns left, walks 450 m. How far is she from her starting point?
Solution:
She forms a square but walks only 450 m instead of 1 km on the last side.
Distance = 1 km - 450 m = 550 m from the starting point8.


C. Degree-Based Turns

  • Clockwise: Turning in the direction of a clock’s hands.

  • Anticlockwise: Turning opposite to the clock’s hands.

  • 90°, 180°, 270°, and 360° turns are common5.

Example 4:

If you are facing east and turn 135° clockwise, what direction are you facing?
Solution: 135° from East = South + 45° = South-West5.


4. Shadow-Based Questions

Shadow-based direction questions use the position of the sun and the resulting shadow to determine the direction a person is facing26.

A. Key Concepts

  • Sun rises in the East and sets in the West.

  • Morning: Shadows fall towards the West.

  • Evening: Shadows fall towards the East.

  • Noon: Shadows are shortest, generally fall to the North in India.

B. Common Patterns

Example 1:

One morning after sunrise, Amrit was standing facing a pole. The shadow of the pole was forming on the left side. Which direction was Amrit facing?
Solution:
Morning → shadow towards West.
If shadow is on left, Amrit is facing North2.

Example 2:

A person walks towards his house at 8:00 am and observes his shadow to his right. In which direction is he walking?
Solution:
8:00 am → Sun in East, shadow falls to the West. If shadow is to the right, person is facing South6.

Example 3:

In the evening, if a person’s shadow falls to his left, which direction is he facing?
Solution:
Evening → Sun in West, shadow towards East. If shadow is to the left, person is facing South.


5. Tips and Tricks

  • Always use the current facing direction as your reference when determining right/left turns.

  • Draw a simple diagram for complex paths.

  • For shadow questions, remember:

    • Morning: Shadow to the West

    • Evening: Shadow to the East

    • Noon: Shadow to the North (in India)

  • For degree-based turns, use a compass diagram.

  • Practice with actual sketches for multi-step problems.


6. Practice Examples

Distance & Direction:

  1. Rakesh walks 10 m North, turns right and walks 5 m, turns right and walks 10 m. Which direction is he facing?

    • Answer: South

  2. A person walks 4 km East, turns left, walks 3 km, turns left, walks 4 km. How far and in which direction is he from the starting point?

    • Answer: 3 km North

  3. Priya walks 7 km South, turns right and walks 4 km, turns right and walks 7 km. Which direction is she facing now?

    • Answer: North

Shadow-Based:

  1. In the morning, a person’s shadow falls to his right. Which direction is he facing?

    • Answer: South

  2. In the evening, if a person’s shadow falls to his left, which direction is he facing?

    • Answer: South


7. Conclusion

Direction sense and shadow-based questions require careful visualization and a systematic approach. Mastery comes from understanding the rules of movement, the effect of turns, and the behavior of shadows at different times of day. Always sketch the scenario for clarity and accuracy.

Distance and Direction (1–75)

  1. Ravi walks 10 m North, then turns right and walks 5 m. Which direction is he facing now?

    • Answer: East

  2. A person walks 6 km East, turns left and walks 4 km. How far is he from the starting point?

    • Answer: 7 km

  3. Sita walks 8 m South, turns right and walks 6 m, then turns left and walks 4 m. Which direction is she facing?

    • Answer: South

  4. Rohan walks 9 m West, turns left and walks 5 m, then turns left and walks 9 m. Which direction is he facing now?

    • Answer: East

  5. A man walks 12 km North, turns right and walks 8 km, turns right again and walks 12 km. How far is he from the starting point?

    • Answer: 8 km

  6. Priya walks 7 m East, turns left and walks 3 m, turns left and walks 7 m. Which direction is she facing now?

    • Answer: West

  7. A person walks 5 km North, then 4 km East. What is the shortest distance from the starting point?

    • Answer: 6.4 km

  8. If you are facing South and turn left, which direction will you face?

    • Answer: East

  9. A person walks 10 m North, 6 m East, 10 m South. How far is he from the starting point?

    • Answer: 6 m

  10. If a man walks 15 m East, turns left, walks 10 m, turns left again and walks 15 m, which direction is he facing?

    • Answer: West

  11. A girl walks 20 m North, turns right and walks 10 m, turns right again and walks 20 m. How far is she from the starting point?

    • Answer: 10 m

  12. If you are facing West and turn right, which direction will you face?

    • Answer: North

  13. A person walks 8 m North, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: South

  14. A man walks 5 km North, 3 km East, 2 km South. What is the distance from the starting point?

    • Answer: 3.6 km

  15. If you are facing East and turn left, which direction will you face?

    • Answer: North

  16. A person walks 12 m South, turns right and walks 5 m, turns right and walks 12 m. Which direction is he facing?

    • Answer: North

  17. A person walks 7 m West, turns left and walks 4 m, turns left and walks 7 m. Which direction is he facing?

    • Answer: East

  18. A man walks 10 m North, turns right and walks 3 m, then turns right and walks 7 m. How far is he from the starting point?

    • Answer: 5 m

  19. If you are facing North and turn right, which direction will you face?

    • Answer: East

  20. A person walks 9 m South, turns left and walks 12 m, turns left and walks 9 m. Which direction is he facing?

    • Answer: North

  21. A girl walks 15 m East, turns left and walks 7 m, turns left and walks 15 m. How far is she from the starting point?

    • Answer: 7 m

  22. If you are facing South and turn right, which direction will you face?

    • Answer: West

  23. A man walks 6 km North, turns right and walks 4 km, turns right and walks 6 km. Which direction is he facing?

    • Answer: South

  24. A person walks 8 m East, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: West

  25. A person walks 5 km North, 4 km West, 5 km South. How far is he from the starting point?

    • Answer: 4 km

  26. If you are facing West and turn left, which direction will you face?

    • Answer: South

  27. A person walks 7 m North, turns right and walks 5 m, turns right and walks 7 m. Which direction is he facing?

    • Answer: South

  28. A man walks 10 m East, turns left and walks 6 m, then turns left and walks 10 m. How far is he from the starting point?

    • Answer: 6 m

  29. If you are facing East and turn right, which direction will you face?

    • Answer: South

  30. A person walks 8 m South, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: North

  31. A man walks 9 m West, turns right and walks 4 m, turns right and walks 9 m. Which direction is he facing?

    • Answer: East

  32. A girl walks 12 m North, turns right and walks 5 m, turns right and walks 12 m. How far is she from the starting point?

    • Answer: 5 m

  33. If you are facing North and turn left, which direction will you face?

    • Answer: West

  34. A person walks 6 m East, turns right and walks 4 m, turns right and walks 6 m. Which direction is he facing?

    • Answer: West

  35. A person walks 5 km North, 3 km East, 2 km South. What is the direction from the starting point?

    • Answer: North-East

  36. If you are facing South and turn left, which direction will you face?

    • Answer: East

  37. A man walks 10 m North, turns left and walks 3 m, then turns left and walks 7 m. How far is he from the starting point?

    • Answer: 5 m

  38. A person walks 8 m South, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: North

  39. If you are facing East and turn left, which direction will you face?

    • Answer: North

  40. A person walks 7 m West, turns right and walks 4 m, turns right and walks 7 m. Which direction is he facing?

    • Answer: East

  41. A man walks 6 km North, turns right and walks 4 km, turns right and walks 6 km. Which direction is he facing?

    • Answer: South

  42. A person walks 8 m East, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: West

  43. A person walks 5 km North, 4 km West, 5 km South. How far is he from the starting point?

    • Answer: 4 km

  44. If you are facing West and turn left, which direction will you face?

    • Answer: South

  45. A person walks 7 m North, turns right and walks 5 m, turns right and walks 7 m. Which direction is he facing?

    • Answer: South

  46. A man walks 10 m East, turns left and walks 6 m, then turns left and walks 10 m. How far is he from the starting point?

    • Answer: 6 m

  47. If you are facing East and turn right, which direction will you face?

    • Answer: South

  48. A person walks 8 m South, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: North

  49. A man walks 9 m West, turns right and walks 4 m, turns right and walks 9 m. Which direction is he facing?

    • Answer: East

  50. A girl walks 12 m North, turns right and walks 5 m, turns right and walks 12 m. How far is she from the starting point?

    • Answer: 5 m

  51. If you are facing North and turn left, which direction will you face?

    • Answer: West

  52. A person walks 6 m East, turns right and walks 4 m, turns right and walks 6 m. Which direction is he facing?

    • Answer: West

  53. A person walks 5 km North, 3 km East, 2 km South. What is the direction from the starting point?

    • Answer: North-East

  54. If you are facing South and turn left, which direction will you face?

    • Answer: East

  55. A man walks 10 m North, turns left and walks 3 m, then turns left and walks 7 m. How far is he from the starting point?

    • Answer: 5 m

  56. A person walks 8 m South, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: North

  57. If you are facing East and turn left, which direction will you face?

    • Answer: North

  58. A person walks 7 m West, turns right and walks 4 m, turns right and walks 7 m. Which direction is he facing?

    • Answer: East

  59. A man walks 6 km North, turns right and walks 4 km, turns right and walks 6 km. Which direction is he facing?

    • Answer: South

  60. A person walks 8 m East, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: West

  61. A person walks 5 km North, 4 km West, 5 km South. How far is he from the starting point?

    • Answer: 4 km

  62. If you are facing West and turn left, which direction will you face?

    • Answer: South

  63. A person walks 7 m North, turns right and walks 5 m, turns right and walks 7 m. Which direction is he facing?

    • Answer: South

  64. A man walks 10 m East, turns left and walks 6 m, then turns left and walks 10 m. How far is he from the starting point?

    • Answer: 6 m

  65. If you are facing East and turn right, which direction will you face?

    • Answer: South

  66. A person walks 8 m South, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: North

  67. A man walks 9 m West, turns right and walks 4 m, turns right and walks 9 m. Which direction is he facing?

    • Answer: East

  68. A girl walks 12 m North, turns right and walks 5 m, turns right and walks 12 m. How far is she from the starting point?

    • Answer: 5 m

  69. If you are facing North and turn left, which direction will you face?

    • Answer: West

  70. A person walks 6 m East, turns right and walks 4 m, turns right and walks 6 m. Which direction is he facing?

    • Answer: West

  71. A person walks 5 km North, 3 km East, 2 km South. What is the direction from the starting point?

    • Answer: North-East

  72. If you are facing South and turn left, which direction will you face?

    • Answer: East

  73. A man walks 10 m North, turns left and walks 3 m, then turns left and walks 7 m. How far is he from the starting point?

    • Answer: 5 m

  74. A person walks 8 m South, turns left and walks 6 m, turns left and walks 8 m. Which direction is he facing?

    • Answer: North

  75. If you are facing East and turn left, which direction will you face?

    • Answer: North


Shadow-Based Questions (76–100)

  1. In the morning, a man’s shadow falls to his left. Which direction is he facing?

  • Answer: North

  1. In the evening, a person’s shadow falls to his right. Which direction is he facing?

  • Answer: North

  1. At sunrise, if a person’s shadow is to his right, which direction is he facing?

  • Answer: South

  1. At sunset, if a person’s shadow is to his left, which direction is he facing?

  • Answer: South

  1. In the morning, if a person’s shadow is behind him, which direction is he facing?

  • Answer: East

  1. In the evening, if a person’s shadow is in front of him, which direction is he facing?

  • Answer: East

  1. At 9 am, a person’s shadow falls to his right. Which direction is he facing?

  • Answer: South

  1. At 5 pm, a person’s shadow falls to his left. Which direction is he facing?

  • Answer: South

  1. In the morning, if a person’s shadow falls in front of him, which direction is he facing?

  • Answer: West

  1. In the evening, if a person’s shadow falls behind him, which direction is he facing?

  • Answer: West

  1. At noon, in which direction will your shadow fall in India?

  • Answer: North

  1. In the morning, a person’s shadow falls to his right. Which direction is he facing?

  • Answer: South

  1. In the evening, a person’s shadow falls to his left. Which direction is he facing?

  • Answer: South

  1. At sunrise, if a person’s shadow is to his left, which direction is he facing?

  • Answer: East

  1. At sunset, if a person’s shadow is to his right, which direction is he facing?

  • Answer: East

  1. In the morning, if a person’s shadow falls to his left, which direction is he facing?

  • Answer: North

  1. In the evening, if a person’s shadow falls to his right, which direction is he facing?

  • Answer: North

  1. At 8 am, a person’s shadow falls to his right. Which direction is he facing?

  • Answer: South

  1. At 6 pm, a person’s shadow falls to his left. Which direction is he facing?

  • Answer: South

  1. In the morning, if a person’s shadow is behind him, which direction is he facing?

  • Answer: East

  1. In the evening, if a person’s shadow is in front of him, which direction is he facing?

  • Answer: East

  1. At noon, in which direction will your shadow fall in India?

  • Answer: North

  1. In the morning, a person’s shadow falls to his right. Which direction is he facing?

  • Answer: South

  1. In the evening, a person’s shadow falls to his left. Which direction is he facing?

  • Answer: South

  1. At sunrise, if a person’s shadow is to his left, which direction is he facing?
    Answer: East

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