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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. Point A is 35 m to the east of Point B. Point C is 28 m to the south of Point B. Point C is 15 m to the east of Point D. Point E is 14 m to the north of Point D. Point F is 20 m to the east of Point E. In which direction is Point A with respect to Point F?

  2. Point A is 35 m to the north of Point B. Point C is 28 m to the west of Point B. Point D is 25 m to the south of Point C. Point E is 14 m to the west of Point D. Point F is 40 m to the north of Point E. In which direction is Point B with respect to Point F?

  3. Point A is 30 m to the east of Point B. Point C is 43 m to the south of Point A. Point C is 45 m to the east of Point D. Point E is 14 m to the south of Point D. Point F is 35 m to the east of Point E. In which direction is Point B with respect to Point F?

  4. 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)

  5. 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)

  6. 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?

  7. 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?


Important Questions from Direction and Distance Stops

  1. Radha walks 14 km towards north. She turns right and walks 22 km. She turns right and walks 24 km. She turns left and walks 26 km. She finally rotates by an angle of 90 degrees in anti-clockwise direction and walks 24 km. How far and in which direction is her starting point from the finishing point.

  2. Harish wants to meet his friend Farhan. He travels 10 km north and then turns right and travels 2 km. He then goes east for 5 km before reaching Farhan's home. How many km does he travel?

  3. The distance between Nalini and Pramod is 50 m and that between Sarayu and Ravali is 40 m. Sarayu is to the west of Ravali, who is to the east of Nalini at a distance of 70 m. Pramod is to the west or northwest or north of Sarayu.

    If Sarayu is to the south of Pramod, what is the distance between Pramod and Sarayu?

  4. Kiran was standing on the way after sunrise. Narmada who was coming from the opposite direction, saw that the shadow of Kiran was falling on his left. So to which direction was Kiran's face?

    (Kiran was looking)

  5. 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.

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