Six friends – A, B, C, D, E and F are sitting in a circle facing centre. F is sitting immediate left of A and B is sitting opposite to E. A and D is sitting opposite to each other. Who is sitting opposite to F?
C
Solving the Circular Seating Arrangement Puzzle
This question involves a common type of logical reasoning puzzle: a circular seating arrangement. Six friends are sitting in a circle, all facing the centre. We are given specific conditions about their positions relative to each other. Our goal is to deduce the full arrangement and find who is sitting opposite to F.
Given Conditions for the Seating Arrangement
- Six friends: A, B, C, D, E, F.
- Sitting in a circle facing the centre.
- Condition 1: F is sitting immediate left of A.
- Condition 2: B is sitting opposite to E.
- Condition 3: A is sitting opposite to D.
Step-by-Step Deduction of the Seating Arrangement
Let's build the arrangement step by step based on the given conditions. In a circle with six people, positions are directly opposite when there are two people between them on either side.
- Place A and D: The easiest condition to start with is the opposite relationship. A and D are opposite to each other. Let's place A at any position, say the top. Then D must be directly opposite A.
- Place F immediate left of A: When facing the centre, "immediate left" means the person is sitting clockwise relative to A. So, place F in the position immediately clockwise to A.
- Consider the remaining positions: We have placed A, D, and F. The remaining three friends are B, C, and E. There are three empty seats left.
- Place B and E: We know B is opposite to E. Among the three remaining seats, only two can be opposite each other. These two opposite seats must be occupied by B and E. The remaining single seat is where the last person sits.
- Place C: The only friend left is C. The only seat left is the one that is not part of the B-E opposite pair. This seat must be occupied by C.
- Final Arrangement Check: Now let's look at the positions. We have A opposite D, and B opposite E. This leaves C in the final spot. Let's verify the position of F relative to A. F is immediately left (clockwise) of A. With A and D opposite, and F next to A, who is opposite to F?
Determining Who is Opposite to F
Based on our arrangement:
We have the opposite pairs:
- A is opposite D.
- B is opposite E.
This accounts for 4 friends. The remaining two friends are C and F. Since A is opposite D and B is opposite E, the only remaining pair of opposite positions must be occupied by C and F. Therefore, C must be sitting opposite to F.
| Friend | Opposite Friend |
|---|---|
| A | D |
| B | E |
| F | C |
The arrangement confirms that C is opposite to F.
Conclusion
Following the conditions for the circular seating arrangement, we determined the positions of all six friends. The friend sitting opposite to F is C.
Revision Table: Key Concepts in Seating Arrangements
| Concept | Description |
|---|---|
| Circular Arrangement | People are seated around a circle. Relative positions (left/right) depend on whether they face the centre or away. |
| Facing Centre | Left is clockwise movement, Right is anti-clockwise movement relative to the person. |
| Opposite Positions | In a circle of N people, two people are opposite if N/2 - 1 people are between them on each side. For 6 people, 6/2 - 1 = 2 people are between opposite friends. |
| Immediate Left/Right | The person directly next to someone on their left or right side. |
Additional Information: Types of Arrangement Puzzles
Seating arrangement puzzles are common in logical reasoning sections of exams. They can involve:
- Linear Arrangement: People in a straight line (single row or double rows). Directions are typically left, right, north, south, etc.
- Circular Arrangement: People in a circle, often facing inwards or outwards.
- Rectangular/Square Arrangement: People around a table, often at corners and sides.
- Combination: Sometimes arrangements combined with other attributes like profession, city, etc.
Solving these puzzles requires careful reading of conditions, drawing diagrams, and step-by-step deduction.
Similar Questions
Five friends K, L, M, N and O are sitting around a circular table facing centre. N is to the immediate right of K. L is to the immediate left of M. N is at the second place to the right of M. Where is O sitting ?
Six friends A, B, C, D, E, and F are sitting around a circular table. B is sitting to the immediate left of D. C is third to the right of E. A is between C and F. D is sitting to the immediate left of E. Who is sitting between A and E?
Among eight houses A, B, C, D, E, F, G and H, four houses are situated at the corners of a square - shaped garden. The remaining four houses are situated in the middle of each side of the square. All houses face the centre of the square. B is between A and H. F is to the immediate left of G. D is to immediate left of C, which is to the immediate left of F. B and F are in the middle of the two sides facing each other. D is not adjacent to H. Which four houses are situated at the corners.
Six friends – A, B, C, D, E and F are sitting in a circle facing center. F is to the immediate left of A and B is sitting opposite to F. E and D are sitting opposite to each other. Who is sitting third right to A?
Five friends - David, Ethan, Fred, Gilbert, and Harry were sitting around a circular table facing the center of the table. Harry was sitting next to neither David nor Fred. Gilbert is sitting to the immediate left of Fred. Who among the following is sitting to Fred's immediate right?
- Eight persons J, K, L, M, N, 0, P and Q are sitting around a circular table facing the centre. N is between M and J. P is second to the left of K. O is between Q and P. L is second to right of O. N is to the immediate left of J.Who is sitting at third place to the right of P?
- Eight friends A, B, C, D, E, F, G and H are sitting anticlockwise in the same sequence around a circular table at equal distances facing the centre. Then, C and H interchange their places. If B is sitting in the south direction, in which direction is H facing now?
A, B, C, D, E, F, G and H are sitting in a circular manner in the same order for lunch at equal distance. Their positions are clockwise. If C sits in the East, then what will be the position of H?
A, B, C, D, E, F, G and H are sitting in a circle in the same order for lunch at equal distances, Their positions are clockwise. If C is sitting in the east, then what is be the position of G?
A, B, C, D and E are sitting around a circular table facing the centre. A don't have B and E as his neighbours. E is sitting to the immediate right of D. When seen in clockwise direction, which of the order of sitting is correct?
Important Questions from Circular Arrangement
Eight students A, B, C, D, E, F, G and Hsit around a circular table, equidistant from each other, facing the centre of the table, not necessarily in the same order. Band Dsit neither adjacent to Cnor opposite to C. Asits in between Eand D, and Fsits in between Band H. Which one of the following is definitely correct?
Six persons A, B, C, D, E and Fare sitting equidistant from each other around a circular table (facing the centre of the table).
Consider the Question and two Statements given below :
Question : Who is sitting on the immediate left of A?
Statement-1 : Bis sitting opposite to Cand Dis sitting opposite to E.
Statement-2 : Fis sitting on the immediate left of B.
Which one of the following is correct in respect of the Question and the Statements?
Seven persons P, Q, R, S, T, U and V are sitting around a circular table facing the center (not necessarily in the same order). T sits third to the right of R. V sits third to the right of Q. One person sits between P and T. P is not the neighbor of S. U sits third to the left of P. Who sits second to the left of S?
Akash, Binita, Chandan, Daksh, Ekta & Fatima are standing in a circle. Binita is between Daksh & Chandan. Akash is between Ekta & Chandan. Fatima is to the right of Daksh. Who is between Akash & Fatima?
Six friends A, B, C, D, E and F are sitting around a round table in such a way that A is between E and F, E is opposite to D, and C is not on either side of E. The person opposite to D is
