Reasoning: Direction Sense Set 1

Directions (1-2): Point A is 10 km south of point B. Point C is 7 km east of point B. Point A is 4 km west of point D. Point D is 5 km north of point E.

1. A person starts from point E, goes to point F in east direction. After that he takes a left turn and reaches point C. Find distance DF.
   A) 17 km
   B) √34 km
   C) 5√31 km
   D) 7√24 km
   E) 2√34 km
   
   View Answer

   Option B
   
   After left turn he reaches point C, this means point F is in south of point C. So EF= 3km
   so DF = √(DE² + EF²) = √(5² + 3²) = √34 km
2. A person starts from point G which is 10 km west of point E. Then he goes towards north and after taking a right turn he reaches point A. Now he turns to his right and reaches a point T on line EG. Find distance GT.
   A) 8 km
   B) 12 km
   C) 5 km
   D) 6 km
   E) None of these
   
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   Option D
   
   GT = 10 – 4 = 6km
3. A person starts from a point and goes 6 km in north direction. Now he takes a right turn and moves 7 km. Next he takes a left turn and moves 10 km. Next he turns right and moves 5 km. Finally he turns right and moves 12 km to reach his destination. Find the distance from his starting point.
   A) 12 km
   B) 4√10 km
   C) 5√5 km
   D) 6√2 km
   E) None of these
   
   View Answer

   Option B
   Required distance is √(12² + 4²) = 4√10 km
   

Directions (4-5): Point B is 9 km east of point A. Point T is 6 km south of point B. Point S is 4 km west of point T. Point T is 8 km west of point G.

4. A person starts from point S, walks 3 km towards south and reaches point D. Next he takes two right turns and reaches point A. How much distance has he travelled?
   A) 18 km
   B) 20 km
   C) 17 km
   D) 14 km
   E) 11 km
   
   View Answer

   Option A
   
   Let after first right turn he is at point K. Since after turn from K he reaches at point A so point K is in south of point A. So he has travelled SD + DK + KA = 3 + (9-4) + (3+6) = 17 km
   
5. A person is standing on midpoint of line TG. Find his shortest distance from point B?
   A) 3√15 km
   B) 5√14 km
   C) 6√3 km
   D) 2√13 km
   E) None of these
   
   View Answer

   Option D
   Let that point be Y. So Midpoint of TG means TY = 8/2 = 4 km
   So BY = √(BT² + TY²) = √(6² + 4²) = 2√13 km
   
6. A person starts from a point in east direction. He walks 6 km and turns to his left. Next he walks 4 km and turns to his left again. Next he walks 2 km and turns towards south direction. He stops after walking 8 km. Find his distance from the starting point.
   A) 16 km
   B) 3√2 km
   C) 4√2 km
   D) 4√4 km
   E) 8 km
   
   View Answer

   Option C
   Required distance = √(4² + 4²) = 4√2 km
   
7. From a point, a person starts walking in south direction. He takes a right turn, then taken 2 lefts turns and then takes two right turns and stops after walking 3 km. In which direction he is standing with respect to the starting point?
   A) West
   B) East
   C) North
   D) South
   E) Cannot be determined
   
   View Answer

   Option E
   Since we do not know that how much distances has he travelled after each turn, his position with respect to starting point cannot be determined. There can be many cases as:
   

Directions (8-10): Point B is 7 km north of point A. Point A is 8 km east of point G. Point B is 12 km east of point C. Point E is 9 km north of point D which is 12 km east of point A.

8. A person starts from point S, walks 9 km and reaches point T mid-way between points A and D. Then he goes 2 km towards south, takes 2 left turns and reaches point D. How much distance has he travelled?
   A) 15 km
   B) 18 km
   C) 20 km
   D) 19 km
   E) 21 km
   
   View Answer

   Option D
   
   He has travelled = 9 + 2 + 6 + 2 = 19 km
   
9. A person starts from point D in south direction. He walks 5 km and reaches point L and then turns towards west and reaches point K which is south of point C. Find distance LK – BC.
   A) 13 km
   B) 12 km
   C) 24 km
   D) 16 km
   E) Cannot be determined
   
   View Answer

   Option B
   LK = 12+12 = 24 km. BC = 12 km, so required ans = 24-12 = 12 km
   
10. If point M is 4 km north of point G and point O is south if point G such that point G is mid way between points M and N. Find distance MN + AE.
    A) 23 km
    B) 25 km
    C) 19 km
    D) Cannot be determined
    E) None of these
    
    View Answer

    Option A
    MN = 4+4 = 8 km
    AE = √(AD² + DE²) = √(12² + 9²) = 15 km
    so required ans = 8 + 15 = 23 km