find both direction & distance Detailed Explanation And More Example

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The following question based on direction & distance sense test topic of verbal reasoning

Questions : Rajnikanth left his home foe office in car. He drove 15 km straight towards North and then turned Eastwards and covered 8 km. He, then turned to left and covered 1 km. He again turned left and drove for 20 km and reached office. How far and in what direction in his office from the home?

(a) 21 km, West

(b) 15 km, North - East

(c) 20 km, North - West

(d) 26 km, North - West

The correct answers to the above question in:

Answer: (c)

According to the question, the direction diagram will be as follows.

Now, AB = 15 km, CD = BF = 1 km

AF = AB + BF = 15 + 1 = 16 km

DE = 20 km DF = BC = 8 km

EF = DE - DF = 20 - 8 = 12 km

Therefore, Required distance, AE = $√{(AF)^2 + (EF)^2}$

= $√{(16)^2 + (12)^2}$

= $√{(256 + 144)}$ = √400 = 20 km

So, his office is 20 km North - West.

 

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Read more finding both direction distance test Based Verbal Reasoning Questions and Answers

Question : 1

In an exercise, Krishnan walked 25 m towards South and then he turned to his left and moved for 20 m. He again turned to his left and walked 25 m. Thereafter, he turned to his right and walked 15 m. What is the distance and direction of his present location with reference to the starting point?

a) 74 m, North - East

b) 60 m, North

c) 35 m, East

d) 40 m, South - East

Answer: (c)

According to the question, the direction diagram will be as follows.

Now, AB = CD = 25 km, BC = AD = 20 m, DE = 15 m

Therefore, Required distance, AE = AD + DE AE = (20 + 15) = 35 m

Also, E is to the East of A.

Question : 2

Sharada started to move in the direction of South. After moving 15 m, she turned to her left twice and moved 15 m each time. Now, how far is she and in which direction from her starting point?

a) 20 m, west

b) 15 m, East

c) 15 m, South

d) 30 m, East

Answer: (b)

Let Sharada starts from point A and passing through B and C, she reaches D.

Clearly, she is in East and at a distance of 15 m from her original position.

Question : 3

Rachel starts walking towards North. After walking 15 m, she turns towards South and walks 20 m. She then turns towards East and walks 10 m. Then, again she walks 5 m towards North. How far is she from her starting point and in which direction?

a) 10 m, West

b) 5 m, East

c) 5 m, North

d) 10 m, East

Answer: (d)

Let the initial point of Rachel be 'A'.

Therefore, Required distance, AE = 10 m

So, Rachel is 10 m towards East from the starting point.

Question : 4

A school bus driver starts from the school, drives 2 km towards North, takes a left turn and drives for 5 km. He, then takes a left turn and drives for 8 km before taking a left turn again and driving for further 5 km. The driver finally takes a left turn and drives 1 km before stopping. How far and towards which direction should the driver drive to reach the school again?

a) 3 km towards North

b) 7 km towards East

c) 6 km towards South

d) 6 km towards West

e) 5 km towards North

Answer: (e)

According to the question, the direction diagram will be as follows.

Now, BC = DE = 5 km, CD = BE = 8 km AB = 2 km, EF = 1 km

Therefore, Required distance, AF = BE - (AB + EF) = 8 - (2 + 1) = 8 - 3 = 5 km.

From the direction diagram, it is clear that the bus is present finally in the South direction of school.

So, the driver needs to drive 5 km towards North direction to reach the school.

Question : 5

Starting from a point, raju walked 12 ft North, he turned right and walked 10 ft, he again turned right and walked 12 ft, then the turned left and walked 5 ft. How far is he now and in which direction from the starting point?

a) 27 ft towards East

b) 5 ft towards East

c) 10 ft towards West

d) 15 ft towards East

e) 35 ft towards North

Answer: (d)

According to the questions, the direction diagram is as follows.

AB = CD = 12 ft

BC = AD = 10 ft

DE = 5 ft

Therefore, Required distance, AE = AD + DE = 10 + 5 = 15 ft

Hence at finishing point E, Raju is 15 ft East from starting point A.

Question : 6

Pankaj travels 10 m in North direction, he turns right and travels 20 m. Again he turns towards right and travels 25 m. Then, he turns towards left and travels 15 m. In which direction and how far is Pankaj from his original position?

a) 35 m, East

b) 10 m, West

c) 25 m, East

d) 55 m, West

e) None of these

Answer: (e)

According to the question, the direction diagram will be as follows.

A = Starting point, E = Finishing point DE = 15 m,

BC = FD = 20 m FE = FD + DE = 20 + 15 = 35 m

AF = BF - AB = 25 - 10 = 15 m

Therefore, Required distance, AE = $√{(AF)^2 + (FE)^2}$

= $√((15)^2 + (35)^2)$

= $√{(225 + 1225)}$

= $√1450$

and the direction is South-East

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