Distance and Direction Reasoning Formulas
1. The angle
and direction
2. The
standard Trigonometrical ratio table
standard Trigonometrical ratio table
3. In any
right angled triangle, p² + b² =
h²
right angled triangle, p² + b² =
h²
Example: No 01
A man went
15 kms to the North. Then he turned West and covered 10 kms. Then he turned
South and covered 5 kms. Finally, turned to East, he covered 10 kms. In which
direction is he from his house?
15 kms to the North. Then he turned West and covered 10 kms. Then he turned
South and covered 5 kms. Finally, turned to East, he covered 10 kms. In which
direction is he from his house?
(A) West
(B) East
(C) North
(D) South
Answer:
Option C
Option C
Explanation:
Example: No 02
A boy walks
a while facing towards the sun, then he turns to his right and continues to
walk. Later he turns left and finally, turning to his right, he stops. Which
direction is he facing now?
a while facing towards the sun, then he turns to his right and continues to
walk. Later he turns left and finally, turning to his right, he stops. Which
direction is he facing now?
(A) North
(B) South
(C) East
(D) West
Answer:
Option C
Option C
Explanation:
Solved Examples
Question No. 01
I go 10 m to
the east, then I turn left and go 5 m, I turn left again and go 10 m and then
again I turn left and go 10 m. In which direction am I from the starting point?
the east, then I turn left and go 5 m, I turn left again and go 10 m and then
again I turn left and go 10 m. In which direction am I from the starting point?
(A) North
(B) South
(C) East
(D) West
Answer:
Option B
Option B
Explanation:
Question No. 02
A man went
10 kms towards South. Then turned East and covered 10 kms and turned to the
right. Again after 10 kms he turned to left and covered 10 kms to reach the
destination. How far and in which direction is he to his starting point?
10 kms towards South. Then turned East and covered 10 kms and turned to the
right. Again after 10 kms he turned to left and covered 10 kms to reach the
destination. How far and in which direction is he to his starting point?
(A) 20√2 km,
South-East
South-East
(B) 20√2 km,
North-East
North-East
(C) 20√2 m,
South-East
South-East
(D) 20 km,
South-East
South-East
Answer:
Option A
Option A
Explanation:
Required
distance = √(20² + 20²)
distance = √(20² + 20²)
= 20√2 km.
Question No. 03
One morning
after sunrise, Miss Jiya was standing facing a pole. The shadow of the pole
fell exactly to his right, which direction was she facing?
after sunrise, Miss Jiya was standing facing a pole. The shadow of the pole
fell exactly to his right, which direction was she facing?
(A) East
(B) South
(C) West
(D) North
Answer:
Option B
Option B
Explanation:
Question No. 04
A man
travels 7 kms towards East, then he turns left and travels 8 kms. Again he
turns left and travels 10 kms. Finally, he turns left and travels 2 kms. In
which direction is he from his starting point?
travels 7 kms towards East, then he turns left and travels 8 kms. Again he
turns left and travels 10 kms. Finally, he turns left and travels 2 kms. In
which direction is he from his starting point?
(A) North-West
(B) West
(C) East
(D) North-East
Answer:
Option A
Option A
Explanation:
Question No. 05
Ravi drove 6
km towards East. He then turned right and drove 10 km. He again turned to his
right and drove 6 km. He then turned to his left and drove 15 km. At what
distance is he from the starting point and in which direction?
km towards East. He then turned right and drove 10 km. He again turned to his
right and drove 6 km. He then turned to his left and drove 15 km. At what
distance is he from the starting point and in which direction?
(A) 25 km,
South
South
(B) 21 km,
South
South
(C) 15 km,
South
South
(D) 21 km,
North
North
Answer:
Option A
Option A
Explanation:
Question No. 06
A plane is
piloted from a point towards south. The direction is changed first towards
right and then towards left. In which direction is the plane from the starting
point?
piloted from a point towards south. The direction is changed first towards
right and then towards left. In which direction is the plane from the starting
point?
(A) South-West
(B) North-East
(C) West
(D) North
Answer:
Option A
Option A
Explanation:
Question No. 07
If
South-East becomes North, North-East becomes West and so on, what will West
becomes?
South-East becomes North, North-East becomes West and so on, what will West
becomes?
(A) North-East
(B) South-East
(C) North-West
(D) South-West
Answer:
Option B
Option B
Explanation:
Question No. 08
A man is
facing North-West. He turns 90° in the clockwise direction and then 135° in the
anticlockwise direction. Which direction is he facing now?
facing North-West. He turns 90° in the clockwise direction and then 135° in the
anticlockwise direction. Which direction is he facing now?
(A) West
(B) North
(C) South
(D) East
Answer:
Option A
Option A
Explanation:
Question No. 09
A man walks
towards North. After a while he turns to his right and a little further to his
left. Finally, after walking a distance of 1 km, he turns to his left again. In
which direction is he moving now?
towards North. After a while he turns to his right and a little further to his
left. Finally, after walking a distance of 1 km, he turns to his left again. In
which direction is he moving now?
(A) South
(B) North
(C) West
(D) East
Answer:
Option C
Option C
Explanation:
Question No. 10
A watch
reads 4:30. If the minute hand points towards the East, in which direction will
the hour hand point?
reads 4:30. If the minute hand points towards the East, in which direction will
the hour hand point?
(A) North
(B) South-East
(C) North-West
(D) North-East
Answer:
Option D
Option D
Explanation:
Question No. 11
‘A’ is 40 m South-West of ‘B’, ‘C’
is 40 m South-East of B, then ‘C’ is in which direction?
is 40 m South-East of B, then ‘C’ is in which direction?
(A) South
(B) West
(C) East
(D) North-East
Answer:
Option C
Option C
Explanation:
Question No. 12
A man
started walking positioning his back towards the sun. After sometime, he turned
left, then turned right and then towards the left again. In which direction is
he going now?
started walking positioning his back towards the sun. After sometime, he turned
left, then turned right and then towards the left again. In which direction is
he going now?
(A) North or
South
South
(B) East or
west
west
(C) North or
West
West
(D) South or
West
West
Answer:
Option A
Option A
Explanation:
Question No. 13
P, Q,
R and S are playing a game of carom. P,
R and S, Q are partners. ‘S’ is to the right of ‘R’ who is facing West. Then, ‘Q’ is facing;
R and S are playing a game of carom. P,
R and S, Q are partners. ‘S’ is to the right of ‘R’ who is facing West. Then, ‘Q’ is facing;
(A) South
(B) East
(C) West
(D) North
Answer:
Option D
Option D
Explanation:
