Four friends live in a locality. A's house is to the west of B. B 's house is to the south of C and C's house is to the east of D. In which direction is B's house as to D?
South-East
Analyzing House Locations and Relative Directions
This question asks us to determine the relative direction of B's house with respect to D's house, based on the given positional relationships between four friends' houses (A, B, C, and D).
Breaking Down the Directional Clues
We are given three pieces of information about the locations:
- A's house is to the west of B.
- B's house is to the south of C.
- C's house is to the east of D.
Step-by-Step Directional Reasoning
Let's build the spatial arrangement step by step:
- The statement "B's house is to the south of C" means C is located directly north of B.
- The statement "C's house is to the east of D" means D is located directly west of C.
- Combining these, we know D is west of C, and C is north of B. Imagine placing D. Then C is to its east. Then B is directly south of C.
Visualizing the Relative Positions
Although we cannot draw a diagram here, we can visualize the positions based on the steps above:
- Start with D's position.
- C is east of D. So, C is to the right of D.
- B is south of C. So, B is downwards from C.
So, if we place D as a reference point, C is to the east (right), and B is south (down) from C. This places B in a position that is both to the east and to the south relative to D.
Determining the Direction of B from D
To find the direction of B's house as to D, we need to look from D's position towards B's position. Based on our visualization:
- From D, we move east to reach C.
- From C, we move south to reach B.
The overall direction from D to B involves moving towards the east and towards the south. The direction that combines East and South is South-East.
Therefore, B's house is in the South-East direction as to D.
Conclusion on Relative Direction
Based on the spatial reasoning derived from the given clues, the location of B's house relative to D's house is South-East.
Revision Table: Directional Relationships
| Relationship Given | Implied Relationship | Visual Representation (from first point of view) |
|---|---|---|
| A is West of B | B is East of A | A <-- B |
| B is South of C | C is North of B | C ↓ B |
| C is East of D | D is West of C | D --> C |
Additional Information: Understanding Relative Directions
When dealing with directional reasoning questions, it is crucial to understand the standard directions (North, South, East, West) and combined directions (North-East, South-East, South-West, North-West).
- North: Upwards on a map.
- South: Downwards on a map.
- East: Rightwards on a map.
- West: Leftwards on a map.
- North-East: Between North and East.
- South-East: Between South and East.
- South-West: Between South and West.
- North-West: Between North and West.
Relative direction means the direction of one point when viewed from another point. In this problem, we determined the direction of B when viewed from D.
Important Questions from Direction and Distance Stops
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
What should come in place of the question mark (?) in the given series?
28 39 53 70 90 ?Pranay starts from Point A and drives 8 km towards east. He then takes a right turn, drives 11 km, turns right and drives 12 km. He then takes a right turn and drives 13 km. He takes a final right turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
A child went 90 feet in the west to look for his father, then he turned right and went 20 feet. After this, he turned right and walked 30 feet to reach his uncle's house. His father was NOT there. From there he went 100 feet to his south and met his father. How far did he meet his father from the starting point?
Y walked 6 m west, turned right an walked 8m. What is the shortest distance he needs to travel to go back to his starting point?
