Eight friends A, B, C, D, E, F, G and H are sitting anticlockwise around a circular table facing the centre of the table at equal distances between them. If G is sitting in the Southeast, then which pair of persons and direction that person is sitting in is NOT correct?
H : West
Understanding the Circular Seating Puzzle
This question involves a circular seating arrangement puzzle with eight friends. They are sitting around a circular table, facing the centre, at equal distances from each other. A crucial piece of information is that they are seated in an anticlockwise direction and that friend G is sitting in the Southeast direction.
Mapping Directions on a Circular Table
First, let's visualize the standard compass directions on a circle:
- North (N) is typically at the top.
- South (S) is at the bottom.
- East (E) is to the right.
- West (W) is to the left.
- The intermediate directions are Northeast (NE), Southeast (SE), Southwest (SW), and Northwest (NW).
For eight equally spaced positions around a circle, these eight directions correspond directly to the eight seats.
Determining Seating Positions Anticlockwise
We are given that G is in the Southeast (SE). The friends are sitting anticlockwise. This means as we move around the circle in an anticlockwise direction, we will encounter the friends in the order G, F, E, D, C, B, A, H.
Starting from G in the Southeast, let's list the directions in an anticlockwise sequence around the circle:
- Southeast (SE) - G
- Moving anticlockwise from SE leads to East (E) - F
- Moving anticlockwise from E leads to Northeast (NE) - E
- Moving anticlockwise from NE leads to North (N) - D
- Moving anticlockwise from N leads to Northwest (NW) - C
- Moving anticlockwise from NW leads to West (W) - B
- Moving anticlockwise from W leads to Southwest (SW) - A
- Moving anticlockwise from SW leads to South (S) - H
Mapping Persons to Directions
Based on the anticlockwise arrangement starting with G in the Southeast, we can create a mapping of each friend to their direction:
| Friend | Derived Direction |
|---|---|
| G | Southeast |
| F | East |
| E | Northeast |
| D | North |
| C | Northwest |
| B | West |
| A | Southwest |
| H | South |
Identifying the Incorrect Person-Direction Pair
Now let's examine the given options and compare them to our derived seating arrangement:
- Option 1: H : West
Our derived mapping shows H is in the South. Therefore, the pair H : West is NOT correct.
- Option 2: E : Southwest
Our derived mapping shows E is in the Northeast. Therefore, the pair E : Southwest is NOT correct.
- Option 3: B : North
Our derived mapping shows B is in the West. Therefore, the pair B : North is NOT correct.
- Option 4: C : Northwest
Our derived mapping shows C is in the Northwest. Therefore, the pair C : Northwest is correct.
The question asks for the pair that is NOT correct. Based on our detailed analysis of the anticlockwise seating arrangement starting with G in the Southeast, the pair H : West does not match the derived position of H, which is South.
Conclusion on the Seating Arrangement
Comparing the options with the derived seating positions, the pair H : West is incorrect because H is actually seated in the South direction according to the given conditions and anticlockwise arrangement.
Revision Table: Circular Arrangement Key Points
| Concept | Description |
|---|---|
| Circular Seating | Arrangement of people around a circle. |
| Anticlockwise Direction | Movement opposite to clock hands. |
| Clockwise Direction | Movement in the same direction as clock hands. |
| Facing Centre | All individuals are looking towards the middle of the circle. |
| Equally Spaced | The distance between adjacent individuals is the same. |
Additional Information: Reasoning Puzzles and Directions
Seating arrangement puzzles are common in reasoning tests. They require careful reading of conditions and systematic placement of individuals based on relative positions or directions. Understanding directions (North, South, East, West, and intermediate directions) and how they apply to a circular setup is key.
- Always start by fixing the position of the person whose location or direction is explicitly given.
- Pay close attention to the direction of movement specified (clockwise or anticlockwise).
- For 8 people, the positions correspond to the 8 main and intermediate compass directions if equally spaced.
- Verify your derived arrangement by checking all the given conditions.
Practicing different types of seating arrangement problems improves speed and accuracy in competitive exams.
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