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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
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
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
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) √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
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
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
8. Find distance AE.
A) 7√5 m
B) 8 m
C) 10 m
D) 8√3 m
E) 5√8 m
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
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 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
11. From a point, Sahil starts walking in east direction. After walking for 15 m he takes a right turn. Now he walks for 12 m before turning to his right again. Next he walks 5 m and again turns in same direction as before. He now walks for 20 m before stopping at a point. How far is this point from the point where Sahil started?
A) 4√10 m
B) 3√22 m
C) 7 m
D) 2√41 m
E) 12 m
12. Abhi and Asha start cycle race from point A. They both start in east direction. After cycling for 7 m, Abhi continues straight while Asha takes a left turn. They both cycle for 6 m before turning right and left directions respectively.
(1) Asha cycles for 8 m and takes a right turn. Now she cycles for 5 m before turning to right again.
(2) Abhi cycles for 4 m and takes a left turn. Now he cycles for 6m before turning to left again.
If both stop at these points, how much respective distance they have to travel to meet each other on their current paths?
A) 10 m, 15 m
B) 13 m, 17 m
C) 15 m, 20 m
D) 18 m, 24 m
E) Cannot be determined
13. From point A, Swati started walking in south direction. She walked for 4 m and took a right turn. Next she walked 5 m and turned to her left. Next she walked for 3 m and turned to her right. Next she walked 4 m and turned to her right again. Next she walked 15 m and turned to her right again and stopped at point B after walking 7 m. Find distance AB.
A) 2√22 m
B) 3√21 m
C) 2√19 m
D) 4√17 m
E) None of these
14. Point P is 10 m west of point Q. Point R is 4 m north of point P. Point T is 3 m east of point S and point S is 5 m south of point Q. What is the direction of point R with respect to point T?
A) South-east
B) South
C) North-east
D) North-west
E) West
15. Anaya started from a point in some direction. After walking for some time, she turned to her right and continued walking. Now walking for some distance she turned to her left and after this finally to her right. If now she is walking in west direction, in which direction did she started her journey?
A) North
B) West
C) East
D) South
E) East or west
