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
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) Northeast
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,
southeast
b) 13m,
southwest
c) 14m,
southwest
d) 13m,
southeast
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 southwest 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.