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Question

A lies to the north-west of C and north of D. If B is to the east of A, what is the position of D with respect to B?

This question was previously asked in
SSC Stenographer 2022 Previous Year Paper (17-Nov-2022) (Shift 2)
The correct answer is

South-west

Solving Direction Reasoning Questions

Direction reasoning questions test your ability to understand and interpret relative positions based on given directional information. To solve these problems effectively, it is helpful to visualize the positions or draw a simple diagram, though we will describe the visualization process here.

Analyzing the Given Directional Information

Let's break down the statements provided in the question about the relative positions of points A, B, C, and D:

  • Statement 1: A lies to the north-west of C.
  • Statement 2: A lies north of D.
  • Statement 3: B is to the east of A.

We need to determine the position of D with respect to B.

Step-by-Step Positioning and Visualization

Let's establish the relative positions based on the statements:

  1. Consider point A as a reference point initially.
  2. From Statement 1 (A is north-west of C): This means C is located in the south-east direction relative to A. Imagine starting at C and moving north-west to reach A.
  3. From Statement 2 (A is north of D): This means D is located directly south of A. If you are at D, you would move north to reach A.
  4. From Statement 3 (B is to the east of A): This means B is located directly east of A. If you are at A, you would move east to reach B.

Determining the Position of D with Respect to B

Now, let's consider B as the reference point and find the position of D. We know the following:

  • B is East of A. This implies A is West of B.
  • D is South of A.

Imagine standing at point B. To get to point A, you would need to move West. From point A, to get to point D, you would need to move South. Therefore, starting from B, you would generally move in a direction that combines West and South to reach D.

A point that is West and South of another point lies in the South-west direction.

Let's visualize this using directions from B:

  • Straight West from B leads you towards the line where A is located.
  • Since D is South of A, D will be located downwards (South) from the position of A, which is already West of B.
  • Combining the Westward direction from B towards A's line and the Southward direction from A to D, the resultant direction from B to D is South-west.

Summary of Relative Positions

Based on the analysis:

  • A is reference.
  • B is East of A.
  • D is South of A.

To find the position of D from B:

  • From B, A is to the West.
  • From A, D is to the South.
  • Therefore, from B, D is in the South-west direction.

The position of D with respect to B is South-west.

Point Position relative to A
B East
D South

Considering B as the reference, A is to its West. D is South of A. Any point South of a point that is West will be in the South-west quadrant relative to the reference.

Conclusion

By carefully interpreting the directional relationships, we determined that D is located to the South-west of B.

Revision Table: Key Directional Concepts

Direction Opposite Direction Relative Position Example
North (N) South (S) A is N of D $\implies$ D is S of A
South (S) North (N) D is S of A $\implies$ A is N of D
East (E) West (W) B is E of A $\implies$ A is W of B
West (W) East (E) A is W of B $\implies$ B is E of A
North-West (NW) South-East (SE) A is NW of C $\implies$ C is SE of A
South-East (SE) North-West (NW) C is SE of A $\implies$ A is NW of C
North-East (NE) South-West (SW) If X is NE of Y, Y is SW of X
South-West (SW) North-East (NE) If Y is SW of X, X is NE of Y

Additional Information on Direction Sense Reasoning

Direction sense reasoning is a common type of question in logical reasoning tests. These questions often involve tracking movements or determining the relative positions of objects or people based on a series of directions and distances. While this particular question did not involve distance, many problems do. Key skills include:

  • Understanding the four main directions (North, South, East, West) and the four cardinal directions (North-East, North-West, South-East, South-West).
  • Visualizing or drawing diagrams to represent the information given.
  • Correctly interpreting phrases like "A is to the north-west of C," which implies C is to the south-east of A.
  • Combining multiple pieces of directional information to find a final position or the direction of movement.

Practice with different types of direction and distance problems can significantly improve your ability to solve these questions quickly and accurately.

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Similar Questions

  1. Town B is to the east of Town A. Town C is to the north of Town B. Town D is to the east of Town C. Town E is to the south of Town D. What is the position of Town E with respect to Town A? (All positions are arranged in GRID pattern)

  2. Town A is to the northwest of Town B. Town D is to the north of Town C. Town B is to the east of Town C. Town M is to the North of Town B. Town D is southeast of Town A. Town M is East of Town A. What is the position of Town D with respect to Town B?

  3. Town B is to the north of Town A. Town C is to the east of Town B. Town D is to the north of Town C. Town E is to the west of Town D. What is the position of Town E with respect to Town A? (All positions are arranged in GRID pattern)

  4. Town M is to the north of Town D. Town A is to the north of Town B. Town D is to the south-east of Town A. Town A is to the south of Town C. Town M is to the east of Town A. What is the position of Town C with respect to Town B?

  5. Town C is to the south of Town A. Town D is to the west of town A. Town B is to the east of town D. Town E is to the south of town B and south-east of Town C. What is the position of town A with respect to town B?


Important Questions from Direction and Distance Stops

  1. 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.

  2. What should come in place of the question mark (?) in the given series?
    28 39 53 70 90 ?

  3. 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.)

  4. 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?

  5. 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?

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