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 : A villager went to meet his uncle in another village situated 5 km away in the North - east direction of his own village. From there he came to meet his father-in-law living in a village situated 4 km in the south of his uncle's village. How far away and in which direction is he now?

(a) 3 km in the North

(b) 3 km in the East

(c) 4 km in the East

(d) 4 km in the West

The correct answers to the above question in:

Answer: (b)

The villager moves from his village at O to his uncle's village at A and therafter to his father-in-law's village at B. (Fig. 19)

Clearly, ΔOBA is right - angled at B.

So, $OA^2 = OB^2 + AB^2$

$OB^2 = OA^2 - AB^2$

OB = $√{25 - 16}$ km = $√9$ km = 3 km.

Thus, B is 3 km to the east of his initial position O.

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

Question : 1

Sanjeev walks 10 metres towards the South. Turning to the left, he walks 20 metres and then moves to his right. After moving a distance of 20 metres, he turns to the right and walks 20 metres. Finally, he turns to the right and moves a distance of 10 metres. How far and in which direction is he from the starting point?

a) 10 metres North

b) 20 metres South

c) 20 metres North

d) 10 metres South

e) None of these

Answer: (b)

The movements of Sanjeev from A to F are as shown in Fig. 22.

Clearly, Sanjeev's distance from starting point A = AF = (AB + BF)

= AB + (BE - EF)

= AB + (CD - EF)

= [10 + (20 - 10)] m

= (10 + 10) m = 20 m.

Also, F lies to the south of A. So, Sanjeev is 20 metres to the south of his starting point.

Question : 2

Rohit walked 25 metres towards South. Then he turned to his left and walked 20 metres. He then turned to his left and walked 25 metres. He again turned to his right and walked 15 metres. At what distance is he from the starting point and in which direction?

a) 35 metres East

b) 40 metres East

c) 35 metres North

d) 60 metres East

e) None of these

Answer: (a)

The movements of Rohit are as shown in Fig. 26.

Therefore, Rohit's distance from starting point A = AE = (AD + DE)

= (BC + DE) = (20 + 15) m = 35 m.

Also, E is to the East of A.

Question : 3

Starting from a point P, Sachin walked 20 metres towards South. He turned left and walked 30 metres. He then turned left and walked 20 metres. He again turned left and walked 40 metres and reached a point Q. How far and in which direction is the point Q from the point P?

a) 20 metres West

b) 10 metres North

c) 10 metres West

d) 10 metres East

e) None of these

Answer: (c)

The movements of Sachin are as shown Fig. 27

(P to B, B to C, C to D and D to Q).

Clearly, distance of Q from P = PQ = (DQ - PD)

= (DQ - BC)

= (40 - 30) m = 10 m

Also, Q is to the west of P.

Therefore, Q is 10 m west of P.

Question : 4

Manick walked 40 metres towards North, took a left turn and walked 20 metres. He again took a left turn and walked 40 metres. How far and in which direction is he from the starting point?

a) 20 metres East

b) 20 metres North

c) 20 metres South

d) 100 metres South

e) None of these

Answer: (e)

The movements of Manick are as shown in Fig. 11

(A to B, B to C and C to D).

Clearly, ABCD is a rectangle and so AD = BC = 20 m.

Thus, D is 20 m to the west of A.

Question : 5

Kunal walks 10 kilometres towards North. From there, he walks 6 kilometres towards South. Then, he walks 3 kilometres towards East. How far and in which direction is he with reference to his starting point?

a) 5 kilometres West

b) 5 kilometres North - East

c) 7 kilometres East

d) 7 Kilometres West

Answer: (b)

The movements of Kunal are as shown in Fig. 9

(A to B, B to C and C to D).

AC = (AB - BC) = (10 - 6) km = 4 km.

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

Therefore, Kunal's distance from statrting point A = AD = $√{AC^2 + CD^2}$ = $√{42 + 32}$ = $√25$ = 5 km.

So, Kunal is 5 km to the North - east of his statrting point.

Directions for the following questions:
Read the following information carefully and answer the questions given below it.
    (i) Six flats on a floor in two rows facing North and South are allotted to A, B, C, D, E and F.
    (ii) B gets a North facing flat and is not next to D.
    (iii) D and F get diagonally opposite flats.
    (iv) C, next to F, gets a south facing flat and E gets a North facing flat.

Question : 6

To arrive at the answers to the above questions, which of the following statements can be dispended with?

a) (i), (ii), (iii) and (iv)

b) (i) only

c) (i) and (ii) only

d) (iii) only

e) None of these

Answer: (a)

Clearly, all the statements are necessary to answer the given questions.

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