# 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
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.

1. 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
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
2. 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
Option B
Solution: AT = √(102 + 42) = 2√29 m

3. 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
Option E
Solution:
We get figure as: So KE = √(62 + 32) = 3√5 m

4. 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
Option D
Solution: 5. 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
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.

1. 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
Option B
Solution:
TK = 10 – 6 = 4 m
So TK + BD – DE = 4 + 7 – 4
2. Find distance AE.
A) 7√5 m
B) 8 m
C) 10 m
D) 8√3 m
E) 5√8 m
Option A
Solution:
AE = √((10+4)2 + 72) = 4√10 km
3. 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
Option E
Solution: XE = √(102 + 22) = 2√26 m

4. 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 45o in clockwise direction. In what direction is he travelling now?
A) South-west
B) North-east
C) North-west
D) South-east
E) East 