Direction test - practice

Ex. 1: Rishabh walked 2 km west of his house and then turned south covering 4 k. Finally, he moved 3 km towards east and then again 1 km west. How far is he from his initial position ?

(1) 2 km

(2) 4 km

(c) 9 km

(d) 10 km

(e) None of these

Sol. 2 Rishabh starts from his house at A, moves 2 km west upto, B then 4 km to the south upto C, 3 km eat upto D and finally 1 km west upto E. Thus, his distance from the initial position A =AE = BC = 4 km. Hence, the answer is (2)

EX 2: A man walks 6 km to the east and then turns to the south and walks 5 km. Again he turns to the east and walks 6 km. Next, he turns northwards and walks 10 km. How far is he now from his starting point ?

(1) 5 km

(2) 12 km

(3) 13 km

(4) 17 km

(5) 9 km

Sol. (3) The man starts from A and walks 6 km east upto B, turns southwards and moves 5 km upto C. At C, he turns to the east and walks 6 km upto D. He then turns northwards and walks 10 km upto E. Now draw BO and AE.

Clearly, BO = CD = 6 km.

AO = (AB + BO) = (6 + 6) km 12 km.

OE = (DE = OD) = (DE – BC)

= (10 – 5) km = 5 km.

∴ Man’s distance from the starting point A

= AE = 13 km 

Ex. 3 Kirath 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?

(1) 5 km West

(2) 7 km West

(3) 7 km Eest

(4) 5 km North-Eest

(5) None of these

Sol. (4) Clearly, Kirath moves from A 10 km northwards upto B, then moves 6 km southwards upto C, turns towards East and walks 3 km upto D.

Then, AC = (AB – BC) = (10 – 6) = 4 km;

CD = 3 km.

So, Kunal’s distance from starting point A

= AD =  

= 5 km.

Also, D is to the North-east of A.

Hence, the answer is  (4).

Ex. 4 Akash left for his office in his car. He drove 15 km towards north and then 10 km towards west. He then turned to the south and covered 5 km.  Further, he turned to the east and moved 8 km. Finally, he turned right and drove 10 km. How far and in which direction is he from his starting point?

(1) 2 km West

(2) 5 km East

(3) 3 km North

(4) 6 km South

(5) None of these

Sol. (1) Clearly, Akash drove 15 km from A to B northwards and then 10 km from B to C towards west. He then moves 5 km southwards from C to D and 8 km eastwards upto E. Finally, he turned right and moved 10 km upto F.

∴ A and F lie in the same straight line and F lies to the west of A.

So, Akash’s distance from the starting point 

A = AF = (BC – DE)

= (10 – 8) km = 2 km.

Hence, the answer is (1)