Direction Sense Test
1.A man walks 1 km to East and then he turns to South and walks 5 km. Again he turns to East and walks 2 km. After this he turns to North and walks 9 km. Now, how far is he from his starting point?

Explanation:

Solution:

Man's Movement :

The last position of the man is P and OEP is a Right angled triangle in which
EP = 3 km and OE = 4 km
Thus,
OP = √(32 +42)
OP = √25
OP = 5 km.

2.I walk 30 metres in North-West direction from my house and then 30 metres in South-west direction. After this I walk 30 metres in South-East direction. Now, I turn to my house, in what direction am I going?

Explanation:

Solution:

Movements are as follows:

Now, I am going in North-East Direction.

3.A man faces towards north. Turning to his right, he walks 25 metes. He then turns to his left and walks 30 metres. Next, he moves 25 metres to his right. He then turns to his right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he from his starting point ?

Explanation:

Solution:

Man\'s Movement :

Finally he is towards the South-East from his starting Point.

4.If Rahim moves 20 metres in East direction and then turns to his left and then moves 15 metres and then he turns to his right and moves 25 metres. After this he turns to his right and moves 15 metres. Now, how far is he from starting point ?

Explanation:

Solution:

Rahim\'s Movement

Therefore, the distance of Rahim from his starting point,
= 20 +25
= 45 metres

5.Mohan was facing east. he walked 4 km forward and then after turning to his right walked 3 km.Again he turned to his right and walked 4 km. After this he turned back. Which direction was he facing at that time?

Explanation:

Solution:

Mohan's Movement :

If Mohan turned back from final position he must be facing in the direction of East.

6.A cyclist goes 30 km to North and then turning to East he goes 40 km. Again he turns to his right and goes 20 km. After this he turns to his right and goes 40 km. How far is from his starting point ?

Explanation:

Solution:

Cyclist's Movement :
Distance of the Cyclist from his starting Point O to end point D = 30-20 = 10 km

7.A, B, C and D are standing on the four corners of a square field as shown in the figure below:
A starts crossing the field diagonally. After walking half the distance, he turns right, walks some distance and turns left. Which direction is A facing now?

Explanation:

Solution:

Movement of A :

Finally A is facing in the direction of North-West.

8.A man leaves from his office for his home. He walks towards East. After moving a distance of 20 m, he turns South and walks 10 m. Then he walks 35 m towards the west and further 5 m towards the north. He then turns towards east and walks 15 m. What is the straight distance (in metres) between his initial and final position?

Explanation:

Solution:

Movement of the man is O to E. And The distance between final and initial position is,
EO = AB - DC = 10 - 5 = 5 m.

9.Kunal walks 10 km towards north. From there, he walks 6 km towards South. Then he walks 3 km towards east. How far and in which direction is he with reference to his starting point?

Explanation:

Solution:

From the figure, we get OC which is the required distance,
OC = √(OC2 + BC2)
OC = √(42 + 32)
Oc = 5 km (North-East)

10.Rohan walks a distance of 3 km towards north, then turns to his left and walks 2 km. He again turns left and walks for 3 km. At this point he turns to his left and walks for 3 km. How many kilometres is he from the starting point?