Reasoning: Direction Sense Set 2

1. A person starts from point T in east direction. Walks 6 m and turns right. Next walks 4 m and turns left. Next walks 3m and turns right. Now cycles for 8 km and stops. Find his distance from T.
   A) 17 m
   B) 2√31 m
   C) 15 m
   D) 7√21 m
   E) 12 m
   
   View Answer

   Option C
   Solution:
   Distance = √[(6+3)² + (4+8)²] = 15 m

Directions (2-4): Point A is 8 m north of point B. Point B is 10 m west of point C. Point C is 11 m north of point D. Point F is 4 m north of point E which is 6m west of point D.

2. A person starts from point F, reaches point G, then takes a left and then a right turn to reach point B. Find FG + BC.
   A) 13 km
   B) 12 km
   C) 15 km
   D) 14 km
   E) None of these
   
   View Answer

   Option D
   Solution:
   Since he takes a left and a right turn to reach B, so the figure is like:
   
   So FG = 10 – 6 = 4m and then FG + BC = 4 + 10
3. Point T is 5m north of point C. Find AT.
   A) 29 m
   B) 2√29 m
   C) 5√26 m
   D) 29√2 m
   E) None of these
   
   View Answer

   Option B
   Solution:
   
   AT = √(10² + 4²) = 2√29 m
   
4. Point H is 6 m west of point F. Point J is 3 m south of point D. A person starts from point H in south direction, reaches a point K, takes a left turn and reaches point J. Find KE.
   A) 15 m
   B) 3√10 m
   C) 2√5 m
   D) 3√2 m
   E) 3√5 m
   
   View Answer

   Option E
   Solution: We get figure as:
   
   So KE = √(6² + 3²) = 3√5 m
   
5. A person starts from a point in east direction. He walks 10 m and takes a right turn. Now he walks 5m and again takes a right turn. Next he walks 3 m and takes a left turn. Now he walks 6 m and takes a right turn. He finally stops after walking 8m. In which direction is the starting point with respect to the ending point?
   A) South-east
   B) South-west
   C) North
   D) North-east
   E) None of these
   
   View Answer

   Option D
   Solution:
   
6. A person starts from point A, walks 10 m in south direction. Now he takes a left turn and walks 8m before turning left again. Next he walks 16 m and takes a right turn. Now he walks 4 m and takes a right turn again. He stops after walking 10 m. Find his distance from point A.
   A) 20 km
   B) 3√10 km
   C) 4√10 km
   D) 4√5 km
   E) 10 km
   
   View Answer

   Option C
   Solution:
   
   Required distance = √((8+4)² + 4²) = 4√10 km
   

Directions (7-9): Point A is 10 m west of point B. Point B is 6 m south of point C and also 7 m north of point D. Point E is 4 m west of point D. Point C is 6 m east of point F.

7. A person starts from point F, walks 2 m in south direction and reaches a point T. He takes a right turn and reaches point K, north of point A. Find TK + BD – DE.
   A) 8 m
   B) 7 m
   C) 9 m
   D) 6 m
   E) 5 m
   
   View Answer

   Option B
   Solution:
   TK = 10 – 6 = 4 m
   So TK + BD – DE = 4 + 7 – 4
   
8. Find distance AE.
   A) 7√5 m
   B) 8 m
   C) 10 m
   D) 8√3 m
   E) 5√8 m
   
   View Answer

   Option A
   Solution:
   AE = √((10+4)² + 7²) = 4√10 km
   
9. A person starts from point D, walks 10 m in north direction and reaches point S. He takes a right turn, walks 2 m and reaches point X. Find distance XE.
   A) 2√24 m
   B) 5√13 m
   C) 2√13 m
   D) 3√29 m
   E) 2√26 m
   
   View Answer

   Option E
   Solution:
   
   XE = √(10² + 2²) = 2√26 m
   
10. A person starts his journey by walking in West direction. He walks for 7 m and takes a left turn. Next after travelling a distance of 10 m, he turned to his right and travelled 4 m. Next he walks for 3 m towards North direction and turns 45^o in clockwise direction. In what direction is he travelling now?
    A) South-west
    B) North-east
    C) North-west
    D) South-east
    E) East
    
    View Answer

    Option D