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
E
Round Table Arrangement
This problem requires us to determine the seating position of friends around a circular table using given clues. We need to find who sits opposite friend D.
Constraints on Seating
Here are the conditions provided:
- Six friends: A, B, C, D, E, F.
- Setting: A round table.
- Clue 1: A is situated between E and F. This means the sequence along the circle is E-A-F or F-A-E.
- Clue 2: E is directly opposite D.
- Clue 3: C is not sitting next to E (on either side).
Visualizing Positions
Let's visualize the six seats around the table. We can number them 1 to 6 clockwise. If E is at position 1, then D must be at position 4 because they are opposite.
| Seat Number (Clockwise) | Occupant |
|---|---|
| 1 | E |
| 2 | Neighbor of E |
| 3 | Neighbor of D |
| 4 | D (Opposite E) |
| 5 | Neighbor of D |
| 6 | Neighbor of E |
Seats 2 and 6 are adjacent to E. Seats 3 and 5 are adjacent to D.
E, A, F Sequence
From Clue 1, A is between E and F. This means A must be in a seat adjacent to E. Let's consider the two possibilities relative to E at seat 1:
- Possibility 1 (E-A-F clockwise):
- E is at seat 1.
- A is at seat 2 (neighbor of E).
- F is at seat 3 (neighbor of A, adjacent to D).
- Possibility 2 (F-A-E clockwise):
- E is at seat 1.
- A is at seat 6 (neighbor of E).
- F is at seat 5 (neighbor of A, adjacent to D).
C's Position Constraint
Now, let's apply Clue 3 (C is not on either side of E):
- In Possibility 1: E(1), A(2), F(3), D(4). Seats 5 and 6 are left for B and C. Seat 6 is adjacent to E. Since C cannot be next to E, C cannot sit in seat 6. Thus, B must sit in seat 6, and C must sit in seat 5. The full arrangement is E, A, F, D, C, B (clockwise). Neighbors of E are A and B. C is not adjacent to E. This configuration is valid.
- In Possibility 2: E(1), D(4), F(5), A(6). Seats 2 and 3 are left for B and C. Seat 2 is adjacent to E. Since C cannot be next to E, C cannot sit in seat 2. Thus, B must sit in seat 2, and C must sit in seat 3. The full arrangement is E, B, C, D, F, A (clockwise). Neighbors of E are B and A. C is not adjacent to E. This configuration is also valid.
Opposite D Finalized
In both valid arrangements derived from the clues:
- Arrangement 1: E, A, F, D, C, B (clockwise). D is at position 4. E is at position 1. E is opposite D.
- Arrangement 2: E, B, C, D, F, A (clockwise). D is at position 4. E is at position 1. E is opposite D.
Therefore, the person opposite D is consistently E.
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?
Vishal, Tanmay, Zain, Yashi, Rishi and Manish are sitting in a circle facing the centre. Rishi is opposite Manish, Yashi is to the left of Vishal who is opposite Tanmay. Who is to the left of Zain, if Manish is between Zain and Vishal?
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?
