Six friends A, B, C, D, E and F are standing in a circle facing the centre. B is between F and C, A is between E and D, and F is to the immediate left of D. Who is between A and F?
D
Understanding the Seating Arrangement Puzzle
This logical reasoning puzzle asks us to figure out the specific seating positions of six friends – A, B, C, D, E, and F – who are sitting in a circle and all facing the centre. We are given several clues about their relative positions, and our goal is to use these clues to determine the complete arrangement and then answer a specific question about who is sitting between two friends.
We need to find the person who is located between A and F in the circular arrangement.
Step-by-Step Solution for the Circle Arrangement
Let's break down the clues and build the arrangement step by step. Imagine six positions in a circle numbered 1 through 6 in a clockwise direction.
- Clue 1: F is to the immediate left of D.
In a circle, if everyone is facing the centre, 'immediate left' means the person is directly next to someone on their left side. Let's pick a position for D, say Position 1. Then, the position immediately to D's left (when facing the centre) is Position 6. So, F must be at Position 6.
Arrangement so far (clockwise): D (Pos 1), ?, ?, ?, ?, F (Pos 6)
- Clue 2: B is between F and C.
This means B is directly next to both F and C. So, the sequence must be either F - B - C or C - B - F. We know F is at Position 6. Looking at the vacant spots, B and C must occupy Position 4 and Position 5 to be 'between' F and D (going around one way) and form the F-B-C sequence in the clockwise direction (F at Pos 6, B at Pos 5, C at Pos 4).
Arrangement so far (clockwise): D (Pos 1), ?, ?, C (Pos 4), B (Pos 5), F (Pos 6)
- Clue 3: A is between E and D.
This means A is directly next to both E and D. So, the sequence must be either E - A - D or D - A - E. We know D is at Position 1. D's immediate neighbours are Position 6 (which is F) and Position 2.
Since A is between E and D, and D's neighbour is F on one side, A must be D's neighbour on the other side, which is Position 2. So, A is at Position 2.
Arrangement so far (clockwise): D (Pos 1), A (Pos 2), ?, C (Pos 4), B (Pos 5), F (Pos 6)
Now, A is between E and D (Pos 1), and A is at Pos 2. This means E must be at the remaining empty position, which is Position 3, to complete the sequence D - A - E.
Arrangement so far (clockwise): D (Pos 1), A (Pos 2), E (Pos 3), C (Pos 4), B (Pos 5), F (Pos 6)
Final Seating Arrangement Verification
Let's list the complete arrangement clockwise starting from D:
D, A, E, C, B, F
Let's verify if this arrangement matches all the given clues:
- Clue 1: F is to the immediate left of D. In our arrangement D, A, E, C, B, F, D, the person immediately to the left of D (facing center) is F. Verified.
- Clue 2: B is between F and C. In our arrangement, looking at the sequence F, B, C (or C, B, F), B is indeed between F and C. Verified.
- Clue 3: A is between E and D. In our arrangement, looking at the sequence D, A, E (or E, A, D), A is indeed between E and D. Verified.
All clues are satisfied by the arrangement: D, A, E, C, B, F in a circle (clockwise).
Determining Who is Between A and F
The question asks who is between A and F. In a circular arrangement of six people, there are two paths between any two individuals. The path can go clockwise or anti-clockwise.
Looking at our arrangement (D, A, E, C, B, F, D):
- Starting from A and going clockwise, the path to F is A → E → C → B → F. The people between A and F on this path are E, C, and B.
- Starting from A and going anti-clockwise, the path to F is A → D → F. The person between A and F on this path is D.
In seating arrangement puzzles, "between X and Y" often refers to the person who is an immediate neighbour to both X and Y, especially when a single person option is provided. In our final arrangement, D is an immediate neighbour of A, and D is also an immediate neighbour of F. Therefore, D is sitting immediately between A and F on the shorter path.
The Answer
Based on the verified seating arrangement, the person sitting immediately between A and F is D.
Revision Table: Seating Arrangement Summary
| Position (Clockwise) | Friend |
|---|---|
| 1 | D |
| 2 | A |
| 3 | E |
| 4 | C |
| 5 | B |
| 6 | F |
Additional Information on Seating Puzzles
Seating arrangement puzzles are common in logical reasoning sections of various exams. They test your ability to follow instructions and deduce relationships between objects or people based on given constraints. Key concepts include:
- Linear Arrangement: People are arranged in a straight line or multiple rows. Directions like 'left', 'right', 'end', 'middle', 'immediate left/right' are typically relative to a fixed direction (e.g., facing North or South).
- Circular Arrangement: People are arranged in a circle. 'Immediate left/right' depends on whether individuals are facing the centre or away from the centre. The term 'between' usually implies the person(s) on one of the paths connecting two individuals.
- Relative Positioning: Clues often describe positions relative to others (e.g., 'X is second to the right of Y', 'X is three places away from Y').
- Absolute Positioning: Sometimes a position is fixed irrespective of others (e.g., 'X is at one end of the row', 'X is opposite to Y').
Solving these puzzles efficiently involves drawing diagrams, using symbols to represent individuals, and systematically incorporating each clue to eliminate possibilities and build the final arrangement. Always verify the final arrangement against all original clues to ensure accuracy.
Similar Questions
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Important Questions from Circular Arrangement
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