Directions - Questions, Tricks, Formulas

Logical reasoning includes directions. It is one of the most often encountered themes in nearly all entrance tests. To answer the questions, you'll need analytical and logical skills. Mastering the 'Directions' topic will assist you in improving your seating arrangement skills.

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What is the definition of direction?

The information included in the relative position of one point with respect to another point, but not the distance information, is referred to as direction. Directions might be relative to a reference point or absolute in relation to a previously agreed-upon frame of reference.
 

Types of direction

The four cardinal directions or cardinal points are:

1. North
2. East
3. South
4. West

 

Cardinal directions
1	North – West
2	North – East
3	South – West
4	South – East

 

Intermediate directions
North-North-West	West-North-West
North-North- East	East -North-East
South-South-West	West-South-West
South-South-East	East-South-East

 
The four primary directions are East, West, North, and South, as we all know. The four cardinal directions – South East, South West, North East, and North West – are also well known to us. To answer our direction reasoning issue, we will need all eight directions.
We presume that the direction in front of us is North, and that the direction behind us is South. West is to our left, while East is to our right. The sun also rises in the east and sets in the west, as we all know. When a person faces the sun, East is in front of him/her and West is behind him/her. North will be on his left, while South will be to his right.
 

Questions And Answers

 
Question: 1
Suresh walked 7 km east and turned to his left and walked 4 kms. He then turned to his right and walked 5 kms.. Finally, he again turned to his right and walked 4 kms. In which direction is he now, from his starting point?
Option 1: East 
Option 2: West 
Option 3: North
Option 4: South
Answer: 1: East
Explanation: 

 
Question: 2
Ram travels towards the east covering 5 km. He takes a le turn and travels 10 km more. Then, he takes a right turn and travels another 5 km and finally takes a right turn to cover 10 km. How far is he from his original position?
Option 1: 10 km 
Option 2: 20 km 
Option 3: 15 km
 Option 4: 25 km
Answer: 
1: 10km
Explanation: 

Ram travels towards east covering 5 km, then he takes a left turn and travels 10 km towards north. Then, he takes a right turn and travels another 5 km east and finally travels south for 10 km. Thus, dis tan ce between initial and final position = 5 + 5 = 10 km
 
Question: 3
A man travels 10 km towards west, then he takes a turn towards north east and travels 20 km in the direction. He again takes a turn towards south southeast and covers 5 km. Taking the starting point as the origin, in which direction is he now?
Option 1: North east
Option 2: South east 
Option 3: South 
Option 4: East
Answer:
1: North east
Explanation:
 
Let the man starts from point A and travels 10 km towards west to reach B, then he takes a turn towards north- east and travels 20 km to reach C. He again takes a turn towards south- east and covers 5 km to finally stop at point D. Thus, he is north-east of his original position.
 
Question: 4
One morning at 7 o’clock, Naresh started walking with his back towards the Sun. Then, he turned towards le walked straight and then turned towards right and walked straight. Then, he again turned towards le. Now in which direction is he facing ?
Option 1: North 
Option2: East
Option 3: West
Option 4: South
Answer:
4: South
Explanation: 

 
Question: 5
Raju was to go to the planetarium. So, he walked 1.5 km towards East from the place and then turned to right and walked 2.5 km and then turned towards East walked 1 km and turned to south and walked 4 km. and seched the place by walking 2.5 km toward West. What distance is he from the starting point ?
Option1: 6.5km
Option 2: 9.5 km
Option 3: 10 km 
Option 4: 9 km
Answer: 
1: 6.5km
Explanation:

 
Question: 6
A cyclist goes 30 km to North and then turning East he goes 40 km. Again he turns to his right and goes 20 km. Aer this, he turns to his right and goes 40 km. How far is he from his starting point ?
Option1: 6km 
Option 2: 10 km 
Option 3: 25 km 
Option 4: 40 km
Answer: 
2: 10km
Explanation:  

 
Question: 7
Heera starts walking towards the east from her home to go to her college. She walks for 10 km in the east, takes a le turn, walks 20 km further and reaches her college. In which direction is her home with respect to her college?
Option 1: North-West
Option 2: West 
Option 3: North 
Option 4: South-West
Answer:
4: South-West
Explanation: 

 
Heera starts walking towards the east from her home for 10 km, then takes a left turn, walks 20 km further towards north and reaches her college. Thus, her home is south-west of her college
 
Question: 8
A man is facing towards the west. He turns 45 degrees clockwise and then another 180 degrees anticlockwise. Finally, he turns 90 degrees in the right. Which direction is he facing now?
Option 1: West
Option 2: South-east
Option 3: North-east
Option 4: South-west
Answer: 
4: South-west
 
Explanation:  

A man is facing towards the west. He turns 45 degrees clockwise and faces north-west, then turns another 180 degrees anticlockwise and now faces south-east. Finally, he turns 90 degrees in the right. Thus, he is facing South-west direction in the end

 
 
Question: 9
A cyclist rides 40 km to the East, turns North and rides 20 km, again turns left and rides 20 km. How far is he from the starting point ?
Option 1:20 √ 2 km 
Option 2: 10 km
Option3: 20km
Option4: 30km
Answer:
1: 20 √ 2 km
 
Explanation: 
 

 
Question: 10
A boy and a girl are facing each other. If the boy is standing in the north-west direction of the girl, in which direction is the girl to the boy?
Option 1: North 
Option 2: South 
Option 3: East 
Option 4: South-east
Answer:
4: South-east
 
Explanation:The  boy is standing in the north-west direction of the girl. Thus, opposite of north-west is south-east Thus, the girl is South-east from the boy
 
Question: 11
A man walks 20 m towards north, then he turns right and walks 3 m, then turns le and walks 4 m and from there he walks 4 m towards east. How far and in which direction is he from his initial position?
Option 1: 25 m east 
Option 2: 25 m north-east 
Option 3: 20 m north 
Option 4: 24 m north
Answer:
2: 25 m north-east
Explanation:  

 
 
Question: 12
An insect walks 15 cm East, then it turns to its right and walks for another 20 cm. then it turns right and walks 4 cm, then it turns North and walks 20 cm, then finally it turns to its le and walks 2 cm. Where is the insect now with respect to its starting point.
Option 1: 9 cm East
Option 2: 21 cm East 
Option 3: 9 cm West 
Option 4: 21 cm West
Answer:
1: 9cmEast
Explanation:
Let the insect start from point A and walk 15 cm East to reach B, then it turns to its right and walks southwards for another 20 cm.
Again, it turns right and walks 4 cm to reach D, then it turns North and walks 20 cm to point E, then finally it turn to its left and walks 2 cm to stop at point F.

AF=15−4−2=9cm
The insect is 9 cm east with respect to its starting point
 
Question: 13
I am facing north. I turn left and walk 30 m. Then I turn right and walk 20 m, then I turn left and walk 10 m and then turn right and walk 50 m. Then I turn left and walk 50 m. In which direction am I from the starting point?
Option 1: North 
Option 2: South
Option 3: North-west 
Option 4: North-east
Answer:
3: North-west
Explanation:

If I am initially at point A and facing north and turn left, then I walk 30 m towards west. Then I turn right and walk 20 m northwards to reach C, then I turn left and walk 10 m west and then turn right from point D and walk 50 m. Finally, I turn left and walk westwards 50 m to stop at point F. Thus, I am North-west from the starting point.
 
Question: 14
A street seller starts from his home. He pushes his cart 1 km East, then he turns North and walks 4 km, then he turns West and walks 9 km, then he turns to his le and walks 4 km. Where is he with respect to his home?
Option 1: 8 km West
Option 2: 10 km West 
Option 3: 8 km East
Option 4: 10 km East
Answer:
1: 8kmWest
Explanation:
Let the street seller start from his home at point A. He pushes his cart 1 km East, then he turns North and walks 4 km to reach C, then He turns West and walks 9 km to reach D, then he turns to his left and walks 4 km southwards to finally stop at point E.

=>AE=9−1=8km
He is 8 km west with respect to his home
Question: 15
An eagle starts from its nest and flies 1 km East, then turns North and flies 2 km, then turns West and flies 7 km, then turns to its Lest and flies 2 km. Where is it now with respect to its nest?
Option 1: 8 km West 
Option 2: 6 km West
Option 3: 6 km East
Option 4: 8 km East
Answer:
2: 6kmWest
Explanation:
Let the eagle starts from its nest A and flies 1 km East to reach B, then turns North and flies 2 km to reach C, then turns West and flies 7 km, then turns to its left and flies 2 km southwards to reach point E.

Question: 16
A pilot takes off and flies 35 km West then, it turns South and flies 15 km, then it turns to its le and flies 20 km, then it turns north and flies 15 km. Where is the plane now with respect to its starting position
Option 1: 55 km West  
Option 2: 15 km East
Option 3: 15 km West
Option 4: 55 km East
Answer:
3: 15 km West
Explanation:
Let the pilot take off from point A and fly 35 km West to reach B then, it turns South and flies 15 km to reach C, then it turns to its left and flies 20 km eastwards, then it turns north and flies 15 km to finally stop at point E.

AE = 35 − 20 = 15 km
The plane is 15 km west with respect to its starting position.
 
Question: 17
Karan travels 20 km towards the south, and then takes a le, and travels 35 km further. Again, he takes a left and travels 20 km further. How far is he from his original position?
Option 1: 35 km 
Option 2: 25 km
Option 3: 30 km 
Option 4: 40 km
Answer : 
1: 35km

Let Karan start from point A and travels 20 km towards the south to reach B, and then takes a le, and travels 35 km to reach C. Again, he takes a le and travels 20 km northwards and finally stops at point D. Thus, he is 35 km from his original position.
 
Question: 18
A river connects two towns A and B. It flows 37 miles South from town A, then it turns West and flows 23 miles, then it turns North and flows 40 miles, then it turns to its right and flows 23 miles to reach town B. Where is town A with respect to town B?
Option 1: 3 miles South
Option 2: 13 miles South 
Option 3: 3 miles North
Option 4: 13 miles North
Answer:
1: 3 miles South
Explanation:
The river starts from town A and flows 37 miles South to reach X, then it turns West and flows 23 miles to reach Y, then it turns North and flows 40 miles to point Z, then it turns to its right and flows 23 miles eastwards to finally reach town B.

Town A is 3 miles south with respect to town B.
 
Question: 19
Rohan walks a distance of 3 km towards North, then turns to his le and walks for 2 km. He again turns le and walks for 3 km. At this point, he turns to his le and walks for 3 km. How many kilometers is he from the starting point?
Option 1: 1KM
Option 2: 2KM
Option 3: 3KM 
Option 4: 4KM
Answer: 
1: 1KM
Explanation:

REQUIRED DISTANCE =1 KM
 
 
Question: 20
Amar moved 20km towards east in a car from his home to reach the hospital. From there he turned left and moved 30km and again moved 20km right to reach his school. How far is his school from his home?
Option 1: 45 km 
Option 2: 50 km
Option 3: 47 km
Option 4: 55 km
Answer: 
2: 50km
Explanation:
Let us represent the given statements diagrammatically.

 
Applying Pythagoras theorem, we get the distance between home and school to be

 
 
 

The information included in the relative position of one point with respect to another point, but not the distance information, is referred to as direction. Directions might be relative to a reference point or absolute in relation to a previously agreed-upon frame of reference.