Directions

11 May 2020


When a person asks for any address, how do we help him explainig the address? We will use the words like go straight, right, left, turn, north, east, west, south, back etc. What are all these? These are some of the direction senses and terms used to locate an object or a location.

In logical reasoning, we are given some problems based on the direction and the distance between them. The real question arises as to how to find the correct solution for these direction reasoning problems? Lets practice some questions based on direction to get proper idea about the concept.


Formula's for Direction

  • There are four main directions: North (N), East (E), West (W), South(S) 
  • There are Four Cardinal Directions as shown in the diagram: 

     North-East (NE), North-West (NW), South-East (SE), South-West (SW) 

          

Angle between North and East is 90’(Clockwise) 

Angle between North and Northeast is 45’(Clockwise) 

Shadow’s position: 

 Morning (or) Sunrise (or) Dawn – WEST 

Evening (or) Sunset (or) Dusk – EAST 

Some Important Points:  

1. At the time of sunrise if a man stands facing the east, his shadow will be towards west. 

2. At the time of sunset the shadow of an object is always in the east. 

3. If a man stands facing the North, at the time of sunrise his shadow will be towards his left and at the time of sunset it will be towards his right. 

4. At 12:00 noon, the rays of the sun are vertically downward hence there will be no shadow. 

Types of Problems: 

  •  Facing Directions 

  •  Distance Travelled 

  • Shadow Based Problems 

  • Noon – No Shadow 

Practice Questions For Directions

Q1) One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?

A) East

B) West

C) South

D) Data is inadequate

Solution :


Q2) I am facing East. Turning to the right I go 20 m, then turning to the left I go 20 m and turning to the right I go 20 m, then again turning to the right I go 40 m and then again I go 40 m to the right. In which direction am I from my original position?

A) North

B) West

C) South

D) East

Solution :


Q3) A man is facing west. He turns 45 degrees in the clockwise direction and then another 180 degrees in the same direction and then 270 degrees in the anticlockwise direction. Find which direction he is facing now?

A) South-West

B) West

C) South

D) East-South

Solution :


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Q4) Airplanes A, B, C and D started flight towards east. After flying 125 kms planes A and D flew towards right while planes B and C flew towards left. After 115 km, planes B and C flew towards their left while planes A and D also turned towards their left. In which directions are the airplanes A, B, D, C respectively flying now?

A) North, South, East, West

B) East, West, West, East

C) East, West, East, West

D) South, North, North, South

Solution :


Q5) One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing? 

A)  East 

B) West 

C) North 

D) South 

Solution :


Q6) Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P? 

A)  North 

B)  South 

C) South-East 

D) None of these 

Solution :


P is in South-West of Y.

Q7) If South-East becomes North, North-East becomes West and so on. What will West become? 

A) North-East 

B) North-West 

C)  South-East 

D) South-West 

Solution :


It is clear from the diagrams that new name of West will become South-East.

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Q8) A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place? 

A)  West 

B) South 

C) North-East 

D) South-West 

Solution :


Hence required direction is South-West

Q9) Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ? 

A) South-East 

B) South 

C) North 

D) West 

Solution :


At 9.15 P.M., the minute hand will point towards west. 

Q10) Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position? 

A) 15 m West 

B) 30 m East 

C) 30 m West 

D) 45 m East 

Solution :


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