Direction Reasoning Question 1: Mohan is standing at point G. He walks 12 m towards the east, takes a left turn and walks for 9 m to reach point S. He takes a right turn and walks for 5 m to reach at a point which is to the south-west of point J. Varun, who is standing at point J, starts walking towards North. He walks for 4 m, takes a left turn and stops at point D after walking for 14 m. He turns left and stops at point R after walking for 8 m. Point Z  is 9 m north of point Q and 6 m to the west of point R.

1. If J is 4 m north of Y, then what is the distance between point Y and Mohan’s final position?

A. 5 m

B. 16 m

C. 10 m

D. 3 m

E. Cannot be determined

2. Rohit walks 4 m to the North of point Z, takes a right turn and stops at point P after walking for 6 m. Which of the following point(s) will be nearest to point P?

A. Both D and R

B. Only S

C. Only D

D. Both S and J

E. Only Q

3. In which of the following direction is point D with respect to point Q?

A. North-east

B. West

C. South-east

D. North

E. Cannot be determined

The paths followed by Mohan and Varun would look like this:

Practice Problem 1 Direction Diagram

Now let’s answer the questions:

1. Since we don’t know the distance between J and Mohan’s final position, we cannot determine the distance between Y and Mohan’s final position. Therefore, E is the correct option.

2. 

Practice Exercise 1 - Question 2 Direction Diagram

Clearly, both D and R are equidistant and nearest to P. Therefore, A is the correct option.

3. P is in the north-east of Q. Therefore, A is the correct option.

Direction Reasoning Question 2: Study the following information and answer the questions. 

Trishaa starts walking from point A, walks 12 m to the south and reaches point B. She then takes a left turn and walks 7 m to reach point C. She then takes a left, walks 5 m and reaches Point D. From Point D she turns left, walks 11 m and stops at point E. Point P is to the west of Point B. Rishi who is standing at point P walks for a distance equal to the shortest distance between B and E and reaches Point Q. From Point Q he takes a left turn, walks for a certain distance and reaches point E. 

1. Mehul starts walking towards south from Point B. He walks for a certain distance to reach Point K. He then takes a left turn walks for 10 m, takes another left turn and stops after walking for 9 m. If his final position is 3 m to the east of Point D, what is the distance between Point B and Point K? 

A. 4 m 

B. 6 m 

C. 5 m 

D. 2 m 

E. Cannot be determined 

2. Point M is 9 m to the north of Point Q. From Point M, which of the following walking directions would lead to point A?

a) 12 m towards west, turn right and walk for 2 m, then turn right and walk for 7 m.

b) 4 m towards the east, turn left and walk for 3 m, then turn right and walk 5 m.

c) 3 m towards the north, turn left, walk 19 m, turn left and walk 5 m.

d) 3 m towards the north, turn right and walk for 4 m.

A. Both (a) and (d) 

B. Only (d)

C. Both (b) and (c) 

D. Only (c)

E. Only (b) 

3. Point Z is 9 m to the east of Point A. Arun starts from point Z, walks towards the south, takes a right turn and walks for a certain distance to reach Point D. What is the total distance that Arun has to walk in order to reach Point D?

A. 20 m 

B. 11 m 

C. 19 m 

D. 9 m 

E. 15 m

The paths followed by Trishaa and Rishi would look like this: 

(To draw the path followed by Rishi, note that his final position is point E and initial position is point P which is in the west of point B.)

Practice Exercise 2 Direction Diagram

Now let’s answer the questions:

1.

Practice Exercise 2 - Question 1 Direction Diagram

The distance between points B and K is (9 – 5) = 4 m. Therefore, A is the correct option.

2.

Practice Exercise 2 - Question 2 Direction Diagram

To go to point A from point M, one should walk 3 m towards the north and then turn left and walk for 4 m. Only the route described by (d) leads to point A from point M. Therefore, B is the correct option.

3.

Practice Exercise 2 - Question 3 Direction Diagram

Clearly, the distance traveled by Arun is (7 + 2) = 9 m. Therefore, D is the correct option.