Seven friends E, F, G, H, I, J and K, are sitting along a circular table facing towards the centre. F and I are sitting to the immediate left and right of G, respectively. H is sitting third to the left of G. E and I are the neighbours of J. Who is sitting to the immediate right of H?
K
Understanding the Circular Seating Arrangement Problem
This question presents a logical reasoning puzzle involving seven friends (E, F, G, H, I, J, and K) seated around a circular table. All friends are facing the centre of the table. We are given several clues about their relative positions, and our goal is to determine the person sitting to the immediate right of H.
To solve this type of circular seating arrangement problem, it is best to build the arrangement step-by-step using the given clues.
Solving the Seating Puzzle Step-by-Step
Let's use the clues to deduce the positions of the seven friends. We can imagine 7 numbered seats around the circle (e.g., 1 through 7 clockwise) to help visualize the arrangement.
- We have 7 friends: E, F, G, H, I, J, K.
- The table is circular, and everyone faces the centre. This means 'right' is clockwise and 'left' is anticlockwise relative to the person facing the center.
- Clue 1: "F and I are sitting to the immediate left and right of G, respectively." This means F is immediately to G's left, and I is immediately to G's right. If we arbitrarily place G at a certain position (say, Position 1), then I is at the position immediately clockwise (Position 2), and F is at the position immediately anticlockwise (Position 7). Initial state (clockwise positions 1-7): G (1), I (2), ?, ?, ?, ?, F (7).
- Clue 2: "H is sitting third to the left of G." Starting from G (at Position 1) and moving to the left (anticlockwise): 1st to the left of G is at Position 7 (F). 2nd to the left of G is at Position 6. 3rd to the left of G is at Position 5. So, H is at Position 5. Current state (clockwise from 1): G (1), I (2), ?, ?, H (5), ?, F (7). The empty positions are 3, 4, and 6.
- Clue 3: "E and I are the neighbours of J." This clue tells us that J is sitting between E and I. We know I is at Position 2. For J to be between E and I, J must be next to both E and I. The neighbours of I (at Position 2) are the people at Position 1 and Position 3. Position 1 is occupied by G. So, J must be at Position 3 to be next to I. If J is at Position 3, its neighbours are the people at Position 2 (I) and Position 4. Since I is one neighbour of J, E must be the other neighbour, located at Position 4. Current state (clockwise from 1): G (1), I (2), J (3), E (4), H (5), ?, F (7).
- We have now placed G, I, J, E, H, and F. The remaining person is K. The only remaining empty position is Position 6. Therefore, K must be at Position 6.
The complete seating arrangement in a clockwise direction starting from Position 1 is:
- Position 1: G
- Position 2: I
- Position 3: J
- Position 4: E
- Position 5: H
- Position 6: K
- Position 7: F
Let's verify this arrangement against all clues:
- F immediate left of G (Pos 7 left of Pos 1)? Yes.
- I immediate right of G (Pos 2 right of Pos 1)? Yes.
- H third left of G (Pos 5 third left of Pos 1)? G (1) > F (7, 1st left) > K (6, 2nd left) > H (5, 3rd left). Yes.
- E and I are neighbours of J (J at Pos 3, neighbours are I at Pos 2 and E at Pos 4)? Yes.
The arrangement is consistent with all clues.
Identifying the Person to the Immediate Right of H
The question asks: "Who is sitting to the immediate right of H?"
In our arrangement, H is at Position 5.
To find the person to the immediate right of H, we move one position clockwise from H.
The position immediately clockwise to Position 5 is Position 6.
The person sitting at Position 6 is K.
Revision Table: Circular Seating Arrangement Facts
| Concept | Explanation in Circular Seating |
|---|---|
| Facing Centre | When facing the centre, 'right' is the direction you move clockwise, and 'left' is the direction you move anticlockwise. |
| Immediate Positions | The person directly adjacent in the specified direction (clockwise for right, anticlockwise for left). |
| Nth Position | Counting N steps in the specified direction from the starting person. |
| Neighbours | The two people sitting on either side of a person. |
Additional Information: Tips for Seating Arrangement Puzzles
Solving seating arrangement problems effectively requires a systematic approach:
- Read all clues carefully before starting.
- For circular arrangements, fixing one person's position can make it easier to place others relative to them.
- Draw a diagram or use a linear representation of positions for clarity.
- Break down complex clues into smaller parts. For example, "A is third to the right of B" means there are two people between A and B when counting clockwise from B.
- When a clue has multiple possibilities, note them down and use subsequent clues to eliminate options.
- Keep track of the people placed and the remaining people and positions.
- Always check your final arrangement against all the original clues to ensure accuracy.
- Practice different types of seating puzzles (linear, circular, square, etc.) to improve speed and accuracy.
Similar Questions
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Important Questions from Circular Arrangement
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