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Top Expected Compass Surveying Problems for Draftsman & Field Surveyor Exams

1. If the W.C.B. of a line 12°30´, the quadrantal bearing is
(a) N 12° 30´ E
(b) S 30° 30´ W
(c) N 74° 30´ W
(d) S 19° 30´ E


2. If the W.C.B. of a line 160°30´, the quadrantal bearing is
(a) N 12° 30´ E
(b) S 30° 30´ W
(c) N 74° 30´ W
(d) S 19° 30´ E


3. If the W.C.B. of a line 210°30´, the quadrantal bearing is
(a) N 12° 30´ E
(b) S 30° 30´ W
(c) N 74° 30´ W
(d) S 19° 30´ E


4. If the W.C.B. of a line 285°30´, the quadrantal bearing is
(a) N 12° 30´ E
(b) S 30° 30´ W
(c) N 74° 30´ W
(d) S 19° 30´ E


5. If the W.C.B. of a line 87°30´, the R.B is
(a) N 87° 30´ E
(b) S 59° 30´ E
(c) S 30° 00´ W
(d) S 86° 30´ W


6. If the W.C.B. of a line 120°30´, the R.B is
(a) N 87° 30´ E
(b) S 59° 30´ E
(c) S 30° 00´ W
(d) S 86° 30´ W


7. If the W.C.B. of a line 210°00´, the R.B is
(a) N 87° 30´ E
(b) S 59° 30´ E
(c) S 30° 00´ W
(d) S 86° 30´ W


8. If the W.C.B. of a line 266°30´, the R.B is
(a) N 87° 30´ E
(b) S 59° 30´ E
(c) S 30° 00´ W
(d) S 86° 30´ W


9. If the W.C.B. of a line 310°30´, the R.B is
(a) N 49° 30´ W
(b) N 0° 30´ W
(c) S 30° 00´ W
(d) S 86° 30´ W


10. If the W.C.B. of a line 359°30´, the R.B is
(a) N 49° 30´ W
(b) N 0° 30´ W
(c) S 30° 00´ W
(d) S 86° 30´ W


11. If the quadrantal bearing of a line N 30°30´ E, the W.C.B is
(a) 30° 30´
(b) 109° 30´
(c) 210° 30´
(d) 274° 30´


12. If the quadrantal bearing of a line S 70°30´ E, the W.C.B is
(a) 30° 30´
(b) 109° 30´
(c) 210° 30´
(d) 274° 30´


13. If the quadrantal bearing of a line S 30°30´ W, the W.C.B is
(a) 30° 30´
(b) 109° 30´
(c) 210° 30´
(d) 274° 30´


14. If the quadrantal bearing of a line S 36°30´ W, the W.C.B is
(a) 30° 30´
(b) 109° 30´
(c) 216° 30´
(d) 274° 30´


15. If the quadrantal bearing of a line N 85°30´ W, the W.C.B is
(a) 30° 30´
(b) 109° 30´
(c) 210° 30´
(d) 274° 30´


16. If the R.B of a line N 46°30´ E, the W.C.B is
(a) 46° 30´
(b) 159° 30´
(c) 190° 30´
(d) 309° 30´


17. If the R.B of a line S 20°30´ E, the W.C.B is
(a) 46° 30´
(b) 159° 30´
(c) 190° 30´
(d) 309° 30´


18. If the R.B of a line S 10°30´ W, the W.C.B is
(a) 46° 30´
(b) 159° 30´
(c) 190° 30´
(d) 309° 30´


19. If the R.B of a line N 50°30´ W, the W.C.B is
(a) 46° 30´
(b) 159° 30´
(c) 190° 30´
(d) 309° 30´


20. The back bearing of a line having fore bearing of 63°30´ will be
(a) 243° 30´
(b) 292° 30´
(c) 23° 30´
(d) 140° 30´


21. The back bearing of a line having fore bearing of 112°30´ will be
(a) 243° 30´
(b) 292° 30´
(c) 23° 30´
(d) 140° 30´


22. The back bearing of a line having fore bearing of 203°30´ will be
(a) 243° 30´
(b) 292° 30´
(c) 23° 30´
(d) 140° 30´


23. The back bearing of a line having fore bearing of 320°30´ will be
(a) 243° 30´
(b) 292° 30´
(c) 23° 30´
(d) 140° 30´


24. The back bearing of a line having fore bearing of 88°30´ will be
(a) 268° 30´
(b) 322° 30´
(c) 29° 00´
(d) 144° 30´


25. The back bearing of a line having fore bearing of 142°30´ will be
(a) 268° 30´
(b) 322° 30´
(c) 29° 00´
(d) 144° 30´


26. The back bearing of a line having fore bearing of 209°00´ will be
(a) 268° 30´
(b) 322° 30´
(c) 29° 00´
(d) 144° 30´


27. The back bearing of a line having fore bearing of 324°30´ will be
(a) 268° 30´
(b) 322° 30´
(c) 29° 00´
(d) 144° 30´


28. The back bearing of a line having fore bearing of N 32°30´ E will be
(a) N 32°30´ E
(b) N 32°30´ W
(c) S 32°30´ E
(d) S 32°30´ W


29. The back bearing of a line having fore bearing of S 43°30´ E will be
(a) N 43°30´ E
(b) N 43°30´ W
(c) S 43°30´ E
(d) S 43°30´ W


30. The back bearing of a line having fore bearing of S 26°30´ W will be
(a) N 26°30´ E
(b) N 26°30´ W
(c) S 26°30´ E
(d) S 26°30´ W


31. The back bearing of a line having fore bearing of N 65°30´ W will be
(a) N 65°30´ E
(b) N 65°30´ W
(c) S 65°30´ E
(d) S 65°30´ W


32. The back bearing of a line having fore bearing of N 26°30´ E will be
(a) N 26°30´ E
(b) N 26°30´ W
(c) S 26°30´ E
(d) S 26°30´ W


33. The back bearing of a line having fore bearing of S 78°30´ E will be
(a) N 78°30´ E
(b) N 78°30´ W
(c) S 78°30´ E
(d) S 78°30´ W


34. The back bearing of a line having fore bearing of S 69°00´ W will be
(a) N 69°00´ E
(b) N 69°00´ W
(c) S 69°00´ E
(d) S 69°00´ W


35. The back bearing of a line having fore bearing of N 32°30´ W will be
(a) N 32°30´ E
(b) N 32°30´ W
(c) S 32°30´ E
(d) S 32°30´ W


36. Find the angle between the lines OA and OB, if their respectively bearings are 32°30´ and 148°00´
(a) 115°30´
(b) 43°30´
(c) 174°00´
(d) 115°00´


37. Find the angle between the lines OA and OB, if their respectively bearings are 16°00´ and 332°30´
(a) 115°30´
(b) 43°30´
(c) 174°00´
(d) 43°00´


38. Find the angle between the lines OA and OB, if their respectively bearings are 126°30´ and 300°30´
(a) 115°30´
(b) 43°30´
(c) 174°00´
(d) 174°30´


39. The quadrantal bearing of lines AB and AC are N 25°30´ E and S 85°30´ E respectively. Calculate the angle BAC
(a) 69°00´
(b) 65°00´
(c) 80°00´
(d) 150°00´


40. The quadrantal bearing of lines AB and AC are N 20°30´ E and N 85°30´ E respectively. Calculate the angle BAC
(a) 69°00´
(b) 65°00´
(c) 80°00´
(d) 150°00´


41. The quadrantal bearing of lines AB and AC are S 70°00´ E and S 10°00´ W respectively. Calculate the angle BAC
(a) 69°00´
(b) 65°00´
(c) 80°00´
(d) 150°00´


42. The quadrantal bearing of lines AB and AC are N 50°30´ E and S 20°30´ W respectively. Calculate the angle BAC
(a) 69°00´
(b) 65°00´
(c) 80°00´
(d) 150°00´


43. The quadrantal bearing of lines AB and AC are N 40°30´ W and N 46°00´ E respectively. Calculate the angle BAC
(a) 86°30´
(b) 74°30´
(c) 80°00´
(d) 150°00´


44. The quadrantal bearing of lines AB and AC are S 45°30´ W and N 60°00´ W respectively. Calculate the angle BAC
(a) 86°30´
(b) 74°30´
(c) 80°00´
(d) 150°00´


45. Find the angle between the lines OA and OB, if their respectively bearings are 25°30´ and 160°30´
(a) 135°00´
(b) 45°00´
(c) 174°30´
(d) 135°30´


46. Find the angle between the lines OA and OB, if their respectively bearings are 25°30´ and 340°30´
(a) 135°00´
(b) 45°00´
(c) 174°30´
(d) 45°30´


47. Find the angle between the lines OA and OB, if their respectively bearings are 126°00´ and 300°30´
(a) 135°00´
(b) 45°00´
(c) 174°30´
(d) 174°00´


48. Find the angle between the lines AB and BC, if their respectively bearings are 140°30´ and 50°30´
(a) 90°00´
(b) 128°00´
(c) 174°30´
(d) 174°00´


49. Find the angle between the lines AB and BC, if their respectively bearings are 65°30´ and 117°30´
(a) 90°00´
(b) 128°00´
(c) 174°30´
(d) 174°00´


50. The bearing of line AB is 164°30´ and the angle ABC is 117°30´. What is the bearing of BC?
(a) 90°00´
(b) 128°00´
(c) 102°00´
(d) 174°00´


51. The bearings of lines OA and OB are N 30°20´ E and N 80°20´ E. Calculate the angle AOB
(a) 50°00´
(b) 109°00´
(c) 65°40´
(d) 50°30´


52. The bearings of lines OA and OB are N 20°20´ E and S 50°40´ E. Calculate the angle AOB
(a) 50°00´
(b) 109°00´
(c) 65°40´
(d) 109°30´


53. The bearings of lines OA and OB are N 30°30´ W and N 35°10´ E. Calculate the angle AOB
(a) 50°00´
(b) 109°00´
(c) 65°40´
(d) 65°00´


54. The magnetic bearing of line is 197°. Find its true bearing, if the magnetic declination is 3° W
(a) 197°
(b) 194°
(c) 200°
(d) 17°


55. If the magnetic bearing of the line is N 37° W and the magnetic declination is 2° E. Find the true bearing.
(a) N 35° W
(b) N 39° W
(c) S 37° E
(d) N 37° W


56. True bearing of a line is 217° and magnetic declination is 2° W. Find the magnetic bearing.
(a) S 37° W
(b) S 37° E
(c) 219°
(d) 215°


57. The magnetic and true bearing of a line are 327°14´ and 324°37´ respectively. Find the value of the magnetic declination at the place of observations.
(a) 2°37´
(b) 2°37´ E
(c) 2°37´ W
(d) 


58. Find the magnetic declination if the magnetic bearing of the sun at noon is 185°
(a) 
(b) 5° E
(c) 5° W
(d) 


59. Find the magnetic declination if the magnetic bearing of the sun at noon is 354°
(a) 
(b) 6° E
(c) 6° W
(d) 


60. The magnetic bearing of a line AB is 125°. Find its true bearing if the magnetic declination at A is 9°0´ W
(a) 116°
(b) 134°
(c) 55°
(d) 189°


61. The magnetic bearing of a line AB is 125°. Find its true bearing if the magnetic declination at A is 5°30´ E
(a) 119°30´
(b) 130°30´
(c) 55°00´
(d) 185°30´


62. The true bearing of a line CD is 138°30´. Find its magnetic bearing if the magnetic declination at C is 5°30´ W
(a) 318°30´
(b) 41°30´
(c) 133°00´
(d) 144°00´


63. The true bearing of a line CD is 138°30´. Find its magnetic bearing if the magnetic declination at C is 3°15´ E
(a) 318°30´
(b) 41°30´
(c) 135°15´
(d) 144°00´


64. A line has a true bearing of 255°. The declination is 3°30´ E. Calculate the magnetic bearing on reduced bearing systems.
(a) S 71°30´ W
(b) S 75°00´ W
(c) S 78°30´ W
(d) S 75°00´ E


65. Find the magnetic declination if magnetic bearings of the sun at noon is 182°00´
(a) 
(b) 2° E
(c) 2° W
(d) 


66. Find the magnetic declination if magnetic bearings of the sun at noon is 178°30´
(a) 1°30´
(b) 1°30´ E
(c) 1°30´ W
(d) 


67. Find the magnetic declination if magnetic bearings of the sun at noon is 359°00´
(a) 
(b) 1° E
(c) 1° W
(d) 


68. The true bearing of a line is 30°00´ compute the magnetic bearing of the line if the magnetic declination is 4°15´ E
(a) 25°15´
(b) 34°15´
(c) 34°45´
(d) 25°45´


69. The true bearing of a line is 30°00´ compute the magnetic bearing of the line if the magnetic declination is 5°30´ W
(a) 25°15´
(b) 24°30´
(c) 35°30´
(d) 25°45´