# Reasoning Ability Directions and Distance – Set 2

Reasoning Ability Directions and Distance – Set 2
1. The door of Aditya's house faces the east. From the back side of his house, he walks straight 50 meters, then turns to the right and walks 50 meters, then turns towards left and stops after walking 25 meters. Now Aditya is in which direction from the starting point?
a) South – East
b) North – East
c) South – West
d) North – West
e) None of these
2. P, Q, R and S are playing a game of Carrom. P, R, and S, Q are partners. S is to the right of R who is facing west. Then Q is facing?
a) North
b) South
c) East
d) West
e) None of these
Directions (3 – 4): Study the information given below carefully and answer the questions that follow.
P > Q means P at 1 meter to the left of Q.
P < Q means P at 1 meter to the south of Q.
P = Q means P at 1 meter to the right of Q.
P + Q means P at 1 meter to the north of Q.
In each question, first person from the left is facing north.
3. According to F < C = D, what is the minimum distance between D and F?
a) √2 m
b) 2√2 m
c) 2m
d) 4m
e) None of these
4. According to M + P > T + G, what is the shortest distance between G and M?
a) (2 + √2) m
b)  (1 + √2) m
c) (3 + √2) m
d) √5 m
e) None of these
Directions (5 – 7): Study the following information and answer the given questions.
A person started walking from point A towards east. After walking 5 meters he reaches at point B then he turned towards his right and walks 10 meters and reaches at point C. Later in the journey he turned towards his right direction and walks for 15 meters to reach at point D then he turned towards his right and walks 10 meters and reached at point E. Now he turns towards west direction and walks 5 meters to reach at point F then he turned towards his right and walks 12 meters and reaches at point G. Finally he turns right and walks 20 meters and reaches at last point H
5. Point A is in which direction with respect to point E?
a) North
b) North-east
c) East
d) West
e) South
6. If he stands on point A and wants to go on point F, then which point he crossed and how far is he stand from that point?
a) E, 10m
b) F, 5m
c) C, 10m.
d) C, 15m
e) D, 20m
7. Find out the shortest distance between starting point and finish point. Also find the direction of starting point with respect of finish point?
a) 15m, south-east
b) 13m, south-west
c) 14m, south-west
d) 13m, south-east
e) None of these
8. A person starts from his office and goes towards his house. To reach his house, he has to follow the following directions: Travel 5km towards northeast from the office followed by 5km towards southeast; then travel 5km towards southwest followed 5km towards northwest. Approximately how far is the office from his house (in km)?
a) 20
b) 5
c) 10
d) 0
e) 25
Directions (9 – 10): Read the following information for answering the questions that follow.
On a playing ground A, B, C, D and E are standing as described below facing the North.
(i) B is 50 meters to the right of D.
(ii) A is 60 meters to the South of B.
(iii) C is 40 meters to the West of D.
(iv) E is 80 meters to the North of A.
9. If a boy walks from C, meets D followed by B, A and then E, how many meters has he walked if he has travelled the straight distance all through?
a) 120
b) 150
c) 170
d) 230
e) None of these
10. What is the minimum distance (in meters approximately) between C and E if travelled straight distance all through?
a) 53
b) 78
c) 92
d) 120
e) 110

Solutions:
1. D) Here, right turn means going in clockwise direction and left turn means going in anticlockwise direction.

Clearly, Aditya is now in North- West direction from the starting point.

2. A) Given, P, Q, R and S are playing a game of Carrom where S is to the right of R who is facing west this means S is sitting in North direction facing south. Now given, P, R, and S, Q are partners this means P is sitting opposite to R and Q is sitting opposite to S thus the arrangement is shown below:

Clearly, Q is facing North.

(3 – 4):
 P is 1 meter to > < = + Left South Right North Of Q
3. A) Given: F < C = D
On Decoding: F is 1 meter to South of C and C is 1 meter to the Right of D

FD = √ [(DC)² + (CF)²]
FD = √ [(1)² + (1)²] = √2 m.
Hence, option B is correct.

4. A) Given: M + P > T + G
On Decoding: M is 1 meter to North of P and P is 1 meter to Left of T but T is 1 meter to the North of G

AM = AP + MP = 1 + 1 = 2 m.
AG = PT=1 m.
GM = √ [(GA) ² + (AM) ²]
GM = √ [(1) ² + (2) ²]
GM = √5 m.
Thus, option D is correct.

(5 – 7):

5. C) Hence, point A is in east direction with respect to point E.

6. A) If he stands on point A and wants to go on point F, then he crossed the point E.
Now find the distance between point E and A,
Distance between point A and E = Distance between the point E and B – Distance between point A and B
Distance between point A and E = 15m 5m = 10m
Distance of AE = 10m

7. B) To find the shortest distance between starting point and finish point, we find the distance between A and H.
AH = √[(AB)^2 + (BH)^2]
AH = √[5^2 + 12^2] = √169 = 13m
Hence, starting point is in south-west direction and 13m far with respect of finish point.

8. D)

(9 – 10):

9. D) Total distance travelled by boy = 40 + 50 + 60 + 80 = 230 m.

10. E) Minimum distance between C and E = 40 + 50 + (80 – 60) = 40 + 50 + 20 = 110 m.