OU All In One

Direction Sense questions

Distance and direction after a walk.

1. Bilal starts walking North and goes 10 m, then turns left and walks 5 m, then turns left and walks 10 m, then turns left and walks 40 m. How far is Bilal from the starting point, and in which direction?

  1. 35 m, West
  2. 35 m, South
  3. 40 m, East
  4. 35 m, East
Answer

D. 35 m, East Net movement: 35 m East and 0 m North. Straight-line distance = √(35² + 0²) = 35 m towards the East.

2. Lata starts walking North and goes 5 m, then turns left and walks 35 m, then turns left and walks 5 m, then turns left and walks 20 m. How far is Lata from the starting point, and in which direction?

  1. 15 m, West
  2. 15 m, East
  3. 15 m, North-West
  4. 20 m, West
Answer

A. 15 m, West Net movement: 15 m West and 0 m North. Straight-line distance = √(-15² + 0²) = 15 m towards the West.

3. Farhan starts walking North and goes 25 m, then turns left and walks 35 m, then turns left and walks 25 m. How far is Farhan from the starting point, and in which direction?

  1. 40 m, West
  2. 35 m, South-West
  3. 35 m, East
  4. 35 m, West
Answer

D. 35 m, West Net movement: 35 m West and 0 m North. Straight-line distance = √(-35² + 0²) = 35 m towards the West.

4. Irfan starts walking North and goes 5 m, then turns left and walks 35 m, then turns left and walks 30 m, then turns right and walks 25 m. How far is Irfan from the starting point, and in which direction?

  1. 65 m, South-West
  2. 85 m, South-West
  3. 65 m, North-East
  4. 70 m, South-West
Answer

A. 65 m, South-West Net movement: 60 m West and 25 m South. Straight-line distance = √(-60² + -25²) = 65 m towards the South-West.

5. Lata starts walking North and goes 35 m, then turns left and walks 30 m, then turns right and walks 5 m. How far is Lata from the starting point, and in which direction?

  1. 55 m, North-West
  2. 70 m, North-West
  3. 50 m, North-West
  4. 50 m, South-East
Answer

C. 50 m, North-West Net movement: 30 m West and 40 m North. Straight-line distance = √(-30² + 40²) = 50 m towards the North-West.

6. Manoj starts walking North and goes 35 m, then turns left and walks 20 m, then turns left and walks 35 m, then turns left and walks 25 m. How far is Manoj from the starting point, and in which direction?

  1. 5 m, West
  2. 5 m, North-East
  3. 10 m, East
  4. 5 m, East
Answer

D. 5 m, East Net movement: 5 m East and 0 m North. Straight-line distance = √(5² + 0²) = 5 m towards the East.

7. Farhan starts walking North and goes 20 m, then turns right and walks 15 m, then turns right and walks 20 m, then turns left and walks 20 m. How far is Farhan from the starting point, and in which direction?

  1. 35 m, West
  2. 35 m, East
  3. 35 m, South
  4. 40 m, East
Answer

B. 35 m, East Net movement: 35 m East and 0 m North. Straight-line distance = √(35² + 0²) = 35 m towards the East.

8. Lata starts walking North and goes 35 m, then turns right and walks 10 m, then turns right and walks 35 m. How far is Lata from the starting point, and in which direction?

  1. 10 m, South-East
  2. 10 m, East
  3. 15 m, East
  4. 10 m, West
Answer

B. 10 m, East Net movement: 10 m East and 0 m North. Straight-line distance = √(10² + 0²) = 10 m towards the East.

9. Jaya starts walking North and goes 15 m, then turns right and walks 40 m, then turns right and walks 15 m, then turns left and walks 15 m. How far is Jaya from the starting point, and in which direction?

  1. 55 m, North-West
  2. 60 m, East
  3. 55 m, East
  4. 55 m, West
Answer

C. 55 m, East Net movement: 55 m East and 0 m North. Straight-line distance = √(55² + 0²) = 55 m towards the East.

10. Lata starts walking North and goes 15 m, then turns right and walks 25 m, then turns right and walks 15 m. How far is Lata from the starting point, and in which direction?

  1. 25 m, South
  2. 30 m, East
  3. 25 m, East
  4. 25 m, West
Answer

C. 25 m, East Net movement: 25 m East and 0 m North. Straight-line distance = √(25² + 0²) = 25 m towards the East.

11. Deepa starts walking North and goes 35 m, then turns right and walks 10 m, then turns right and walks 35 m, then turns right and walks 30 m. How far is Deepa from the starting point, and in which direction?

  1. 20 m, South-East
  2. 20 m, West
  3. 25 m, West
  4. 20 m, East
Answer

B. 20 m, West Net movement: 20 m West and 0 m North. Straight-line distance = √(-20² + 0²) = 20 m towards the West.

12. Asha starts walking North and goes 15 m, then turns right and walks 35 m, then turns right and walks 15 m. How far is Asha from the starting point, and in which direction?

  1. 35 m, East
  2. 35 m, South
  3. 35 m, West
  4. 40 m, East
Answer

A. 35 m, East Net movement: 35 m East and 0 m North. Straight-line distance = √(35² + 0²) = 35 m towards the East.

13. Nida starts walking North and goes 15 m, then turns left and walks 20 m, then turns left and walks 5 m, then turns left and walks 20 m. How far is Nida from the starting point, and in which direction?

  1. 15 m, North
  2. 10 m, North-West
  3. 10 m, North
  4. 10 m, South
Answer

C. 10 m, North Net movement: 0 m East and 10 m North. Straight-line distance = √(0² + 10²) = 10 m towards the North.

14. Gopal starts walking North and goes 10 m, then turns left and walks 15 m, then turns left and walks 10 m. How far is Gopal from the starting point, and in which direction?

  1. 20 m, West
  2. 15 m, East
  3. 15 m, West
  4. 15 m, North
Answer

C. 15 m, West Net movement: 15 m West and 0 m North. Straight-line distance = √(-15² + 0²) = 15 m towards the West.

15. Hina starts walking North and goes 20 m, then turns left and walks 30 m, then turns left and walks 20 m. How far is Hina from the starting point, and in which direction?

  1. 30 m, West
  2. 30 m, South
  3. 35 m, West
  4. 30 m, East
Answer

A. 30 m, West Net movement: 30 m West and 0 m North. Straight-line distance = √(-30² + 0²) = 30 m towards the West.

16. Lata starts walking North and goes 20 m, then turns left and walks 10 m, then turns left and walks 20 m. How far is Lata from the starting point, and in which direction?

  1. 10 m, East
  2. 10 m, South-West
  3. 15 m, West
  4. 10 m, West
Answer

D. 10 m, West Net movement: 10 m West and 0 m North. Straight-line distance = √(-10² + 0²) = 10 m towards the West.

17. Bilal starts walking North and goes 5 m, then turns left and walks 35 m, then turns right and walks 15 m, then turns right and walks 35 m. How far is Bilal from the starting point, and in which direction?

  1. 25 m, North
  2. 20 m, North
  3. 20 m, South
  4. 20 m, North-East
Answer

B. 20 m, North Net movement: 0 m East and 20 m North. Straight-line distance = √(0² + 20²) = 20 m towards the North.

18. Gopal starts walking North and goes 35 m, then turns left and walks 15 m, then turns left and walks 15 m. How far is Gopal from the starting point, and in which direction?

  1. 35 m, North-West
  2. 25 m, North-West
  3. 30 m, North-West
  4. 25 m, South-East
Answer

B. 25 m, North-West Net movement: 15 m West and 20 m North. Straight-line distance = √(-15² + 20²) = 25 m towards the North-West.

19. Bilal starts walking North and goes 40 m, then turns right and walks 35 m, then turns right and walks 40 m. How far is Bilal from the starting point, and in which direction?

  1. 40 m, East
  2. 35 m, East
  3. 35 m, South-East
  4. 35 m, West
Answer

B. 35 m, East Net movement: 35 m East and 0 m North. Straight-line distance = √(35² + 0²) = 35 m towards the East.

20. Nida starts walking North and goes 40 m, then turns right and walks 25 m, then turns right and walks 40 m, then turns left and walks 25 m. How far is Nida from the starting point, and in which direction?

  1. 50 m, North-West
  2. 55 m, East
  3. 50 m, East
  4. 50 m, West
Answer

C. 50 m, East Net movement: 50 m East and 0 m North. Straight-line distance = √(50² + 0²) = 50 m towards the East.

21. Bilal starts walking North and goes 40 m, then turns left and walks 40 m, then turns left and walks 40 m. How far is Bilal from the starting point, and in which direction?

  1. 40 m, West
  2. 40 m, East
  3. 40 m, South-West
  4. 45 m, West
Answer

A. 40 m, West Net movement: 40 m West and 0 m North. Straight-line distance = √(-40² + 0²) = 40 m towards the West.

22. Chetan starts walking North and goes 35 m, then turns right and walks 15 m, then turns right and walks 35 m, then turns right and walks 30 m. How far is Chetan from the starting point, and in which direction?

  1. 15 m, East
  2. 20 m, West
  3. 15 m, South
  4. 15 m, West
Answer

D. 15 m, West Net movement: 15 m West and 0 m North. Straight-line distance = √(-15² + 0²) = 15 m towards the West.

23. Deepa starts walking North and goes 35 m, then turns left and walks 35 m, then turns left and walks 35 m. How far is Deepa from the starting point, and in which direction?

  1. 40 m, West
  2. 35 m, West
  3. 35 m, South-West
  4. 35 m, East
Answer

B. 35 m, West Net movement: 35 m West and 0 m North. Straight-line distance = √(-35² + 0²) = 35 m towards the West.

24. Irfan starts walking North and goes 20 m, then turns left and walks 30 m, then turns right and walks 10 m, then turns right and walks 30 m. How far is Irfan from the starting point, and in which direction?

  1. 35 m, North
  2. 30 m, North
  3. 30 m, South
  4. 30 m, North-West
Answer

B. 30 m, North Net movement: 0 m East and 30 m North. Straight-line distance = √(0² + 30²) = 30 m towards the North.

25. Manoj starts walking North and goes 30 m, then turns left and walks 5 m, then turns left and walks 30 m. How far is Manoj from the starting point, and in which direction?

  1. 5 m, West
  2. 10 m, West
  3. 5 m, East
  4. 5 m, North-West
Answer

A. 5 m, West Net movement: 5 m West and 0 m North. Straight-line distance = √(-5² + 0²) = 5 m towards the West.

26. Chetan starts walking North and goes 30 m, then turns right and walks 10 m, then turns left and walks 25 m, then turns left and walks 10 m. How far is Chetan from the starting point, and in which direction?

  1. 55 m, North
  2. 55 m, North-West
  3. 55 m, South
  4. 60 m, North
Answer

A. 55 m, North Net movement: 0 m East and 55 m North. Straight-line distance = √(0² + 55²) = 55 m towards the North.

27. Bilal starts walking North and goes 15 m, then turns right and walks 30 m, then turns left and walks 15 m, then turns right and walks 10 m. How far is Bilal from the starting point, and in which direction?

  1. 70 m, North-East
  2. 50 m, North-East
  3. 55 m, North-East
  4. 50 m, South-West
Answer

B. 50 m, North-East Net movement: 40 m East and 30 m North. Straight-line distance = √(40² + 30²) = 50 m towards the North-East.

28. Kunal starts walking North and goes 40 m, then turns left and walks 20 m, then turns left and walks 40 m, then turns left and walks 40 m. How far is Kunal from the starting point, and in which direction?

  1. 25 m, East
  2. 20 m, East
  3. 20 m, North-West
  4. 20 m, West
Answer

B. 20 m, East Net movement: 20 m East and 0 m North. Straight-line distance = √(20² + 0²) = 20 m towards the East.

29. Farhan starts walking North and goes 35 m, then turns right and walks 5 m, then turns right and walks 30 m, then turns right and walks 5 m. How far is Farhan from the starting point, and in which direction?

  1. 5 m, South
  2. 5 m, South-East
  3. 5 m, North
  4. 10 m, North
Answer

C. 5 m, North Net movement: 0 m East and 5 m North. Straight-line distance = √(0² + 5²) = 5 m towards the North.

30. Kunal starts walking North and goes 15 m, then turns left and walks 15 m, then turns right and walks 5 m. How far is Kunal from the starting point, and in which direction?

  1. 25 m, North-West
  2. 25 m, South-East
  3. 35 m, North-West
  4. 30 m, North-West
Answer

A. 25 m, North-West Net movement: 15 m West and 20 m North. Straight-line distance = √(-15² + 20²) = 25 m towards the North-West.

31. Nida starts walking North and goes 35 m, then turns right and walks 5 m, then turns right and walks 35 m. How far is Nida from the starting point, and in which direction?

  1. 5 m, East
  2. 5 m, North-West
  3. 10 m, East
  4. 5 m, West
Answer

A. 5 m, East Net movement: 5 m East and 0 m North. Straight-line distance = √(5² + 0²) = 5 m towards the East.

32. Gopal starts walking North and goes 5 m, then turns right and walks 35 m, then turns right and walks 5 m. How far is Gopal from the starting point, and in which direction?

  1. 35 m, West
  2. 35 m, East
  3. 40 m, East
  4. 35 m, South
Answer

B. 35 m, East Net movement: 35 m East and 0 m North. Straight-line distance = √(35² + 0²) = 35 m towards the East.

33. Farhan starts walking North and goes 20 m, then turns left and walks 40 m, then turns right and walks 10 m. How far is Farhan from the starting point, and in which direction?

  1. 55 m, North-West
  2. 70 m, North-West
  3. 50 m, North-West
  4. 50 m, South-East
Answer

C. 50 m, North-West Net movement: 40 m West and 30 m North. Straight-line distance = √(-40² + 30²) = 50 m towards the North-West.

34. Manoj starts walking North and goes 5 m, then turns right and walks 30 m, then turns right and walks 5 m, then turns right and walks 20 m. How far is Manoj from the starting point, and in which direction?

  1. 10 m, West
  2. 10 m, East
  3. 15 m, East
  4. 10 m, South
Answer

B. 10 m, East Net movement: 10 m East and 0 m North. Straight-line distance = √(10² + 0²) = 10 m towards the East.

35. Bilal starts walking North and goes 10 m, then turns left and walks 15 m, then turns left and walks 10 m. How far is Bilal from the starting point, and in which direction?

  1. 20 m, West
  2. 15 m, South-West
  3. 15 m, West
  4. 15 m, East
Answer

C. 15 m, West Net movement: 15 m West and 0 m North. Straight-line distance = √(-15² + 0²) = 15 m towards the West.

36. Lata starts walking North and goes 5 m, then turns right and walks 20 m, then turns right and walks 5 m, then turns left and walks 40 m. How far is Lata from the starting point, and in which direction?

  1. 60 m, South-West
  2. 60 m, East
  3. 60 m, West
  4. 65 m, East
Answer

B. 60 m, East Net movement: 60 m East and 0 m North. Straight-line distance = √(60² + 0²) = 60 m towards the East.

37. Kunal starts walking North and goes 35 m, then turns right and walks 15 m, then turns right and walks 35 m. How far is Kunal from the starting point, and in which direction?

  1. 20 m, East
  2. 15 m, West
  3. 15 m, North
  4. 15 m, East
Answer

D. 15 m, East Net movement: 15 m East and 0 m North. Straight-line distance = √(15² + 0²) = 15 m towards the East.

38. Deepa starts walking North and goes 5 m, then turns right and walks 15 m, then turns left and walks 15 m. How far is Deepa from the starting point, and in which direction?

  1. 30 m, North-East
  2. 35 m, North-East
  3. 25 m, South-West
  4. 25 m, North-East
Answer

D. 25 m, North-East Net movement: 15 m East and 20 m North. Straight-line distance = √(15² + 20²) = 25 m towards the North-East.

39. Nida starts walking North and goes 35 m, then turns right and walks 35 m, then turns right and walks 35 m. How far is Nida from the starting point, and in which direction?

  1. 35 m, East
  2. 35 m, West
  3. 35 m, North
  4. 40 m, East
Answer

A. 35 m, East Net movement: 35 m East and 0 m North. Straight-line distance = √(35² + 0²) = 35 m towards the East.

40. Irfan starts walking North and goes 35 m, then turns left and walks 40 m, then turns left and walks 30 m, then turns left and walks 40 m. How far is Irfan from the starting point, and in which direction?

  1. 5 m, South
  2. 5 m, North
  3. 5 m, South-East
  4. 10 m, North
Answer

B. 5 m, North Net movement: 0 m East and 5 m North. Straight-line distance = √(0² + 5²) = 5 m towards the North.

41. Bilal starts walking North and goes 25 m, then turns left and walks 40 m, then turns right and walks 5 m. How far is Bilal from the starting point, and in which direction?

  1. 50 m, North-West
  2. 70 m, North-West
  3. 55 m, North-West
  4. 50 m, South-East
Answer

A. 50 m, North-West Net movement: 40 m West and 30 m North. Straight-line distance = √(-40² + 30²) = 50 m towards the North-West.

42. Irfan starts walking North and goes 30 m, then turns right and walks 5 m, then turns right and walks 25 m, then turns right and walks 5 m. How far is Irfan from the starting point, and in which direction?

  1. 5 m, North-West
  2. 5 m, South
  3. 10 m, North
  4. 5 m, North
Answer

D. 5 m, North Net movement: 0 m East and 5 m North. Straight-line distance = √(0² + 5²) = 5 m towards the North.

43. Lata starts walking North and goes 15 m, then turns right and walks 5 m, then turns right and walks 20 m, then turns right and walks 5 m. How far is Lata from the starting point, and in which direction?

  1. 5 m, South
  2. 10 m, South
  3. 5 m, North
  4. 5 m, West
Answer

A. 5 m, South Net movement: 0 m East and 5 m South. Straight-line distance = √(0² + -5²) = 5 m towards the South.

44. Jaya starts walking North and goes 5 m, then turns right and walks 5 m, then turns right and walks 40 m, then turns right and walks 5 m. How far is Jaya from the starting point, and in which direction?

  1. 35 m, South-West
  2. 40 m, South
  3. 35 m, South
  4. 35 m, North
Answer

C. 35 m, South Net movement: 0 m East and 35 m South. Straight-line distance = √(0² + -35²) = 35 m towards the South.

45. Farhan starts walking North and goes 5 m, then turns right and walks 35 m, then turns right and walks 5 m. How far is Farhan from the starting point, and in which direction?

  1. 35 m, West
  2. 40 m, East
  3. 35 m, East
  4. 35 m, South-East
Answer

C. 35 m, East Net movement: 35 m East and 0 m North. Straight-line distance = √(35² + 0²) = 35 m towards the East.

46. Esha starts walking North and goes 20 m, then turns right and walks 15 m, then turns left and walks 20 m, then turns right and walks 15 m. How far is Esha from the starting point, and in which direction?

  1. 70 m, North-East
  2. 50 m, North-East
  3. 55 m, North-East
  4. 50 m, South-West
Answer

B. 50 m, North-East Net movement: 30 m East and 40 m North. Straight-line distance = √(30² + 40²) = 50 m towards the North-East.

47. Nida starts walking North and goes 15 m, then turns right and walks 30 m, then turns left and walks 40 m, then turns left and walks 30 m. How far is Nida from the starting point, and in which direction?

  1. 60 m, North
  2. 55 m, North
  3. 55 m, South
  4. 55 m, North-East
Answer

B. 55 m, North Net movement: 0 m East and 55 m North. Straight-line distance = √(0² + 55²) = 55 m towards the North.

48. Asha starts walking North and goes 10 m, then turns right and walks 30 m, then turns left and walks 30 m. How far is Asha from the starting point, and in which direction?

  1. 55 m, North-East
  2. 50 m, North-East
  3. 50 m, South-West
  4. 70 m, North-East
Answer

B. 50 m, North-East Net movement: 30 m East and 40 m North. Straight-line distance = √(30² + 40²) = 50 m towards the North-East.

49. Deepa starts walking North and goes 25 m, then turns left and walks 15 m, then turns left and walks 25 m, then turns right and walks 20 m. How far is Deepa from the starting point, and in which direction?

  1. 40 m, West
  2. 35 m, East
  3. 35 m, West
  4. 35 m, North-West
Answer

C. 35 m, West Net movement: 35 m West and 0 m North. Straight-line distance = √(-35² + 0²) = 35 m towards the West.

50. Esha starts walking North and goes 35 m, then turns right and walks 20 m, then turns right and walks 35 m, then turns left and walks 25 m. How far is Esha from the starting point, and in which direction?

  1. 45 m, West
  2. 45 m, East
  3. 50 m, East
  4. 45 m, South-West
Answer

B. 45 m, East Net movement: 45 m East and 0 m North. Straight-line distance = √(45² + 0²) = 45 m towards the East.

51. Ravi walks 40 metres north, then 3 metres south along the same road. How far north of his start is he?

  1. 36
  2. 39
  3. 34
  4. 37
Answer

D. 37 Net northward displacement = 40−3 = 37 metres.

52. Ravi walks 69 metres north, then 11 metres south along the same road. How far north of his start is he?

  1. 58
  2. 60
  3. 65
  4. 56
Answer

A. 58 Net northward displacement = 69−11 = 58 metres.

53. Ravi walks 23 metres north, then 6 metres south along the same road. How far north of his start is he?

  1. 27
  2. 17
  3. 14
  4. 19
Answer

B. 17 Net northward displacement = 23−6 = 17 metres.

54. Ravi walks 34 metres north, then 11 metres south along the same road. How far north of his start is he?

  1. 23
  2. 21
  3. 24
  4. 13
Answer

A. 23 Net northward displacement = 34−11 = 23 metres.

55. Ravi walks 49 metres north, then 10 metres south along the same road. How far north of his start is he?

  1. 34
  2. 39
  3. 44
  4. 46
Answer

B. 39 Net northward displacement = 49−10 = 39 metres.

56. Ravi walks 58 metres north, then 10 metres south along the same road. How far north of his start is he?

  1. 53
  2. 51
  3. 46
  4. 48
Answer

D. 48 Net northward displacement = 58−10 = 48 metres.

57. Ravi walks 15 metres north, then 11 metres south along the same road. How far north of his start is he?

  1. 5
  2. 4
  3. 1
  4. 11
Answer

B. 4 Net northward displacement = 15−11 = 4 metres.

58. Ravi walks 59 metres north, then 12 metres south along the same road. How far north of his start is he?

  1. 44
  2. 47
  3. 45
  4. 57
Answer

B. 47 Net northward displacement = 59−12 = 47 metres.

59. Ravi walks 45 metres north, then 8 metres south along the same road. How far north of his start is he?

  1. 27
  2. 44
  3. 37
  4. 36
Answer

C. 37 Net northward displacement = 45−8 = 37 metres.

60. Ravi walks 46 metres north, then 10 metres south along the same road. How far north of his start is he?

  1. 36
  2. 34
  3. 38
  4. 46
Answer

A. 36 Net northward displacement = 46−10 = 36 metres.

61. Ravi walks 18 metres north, then 2 metres south along the same road. How far north of his start is he?

  1. 15
  2. 9
  3. 16
  4. 26
Answer

C. 16 Net northward displacement = 18−2 = 16 metres.

62. Ravi walks 66 metres north, then 9 metres south along the same road. How far north of his start is he?

  1. 56
  2. 57
  3. 64
  4. 59
Answer

B. 57 Net northward displacement = 66−9 = 57 metres.

63. Riya walks 19 m north and then 15 m south. How many metres north of the starting point is she? (If she is south, choose 0.)

  1. 29
  2. 4
  3. 44
  4. 104
Answer

B. 4 Net displacement north = 19 − 15 = 4 m; northward distance is 4.

Mock test

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