Nine persons – A, B, C, D, E, F, G, H, and I – are sitting around a circular table, all facing towards the center. But not necessarily in the same order.
Only one person sits between A and F. C sits third to the right B, who is an immediate neighbor of A. Only three people sit between A and G. G sits second to the left of H. I is an immediate neighbor of both A and H. F is not an immediate neighbor of D.
Who among the following sit fourth to the right of I?
Correct Answer :
E
Solution :
Let us represent the nine seats around the circular table using numbers 1 to 9 in a clockwise order. Since everyone is facing the center:
- Left corresponds to the clockwise direction.
- Right corresponds to the counter-clockwise direction.
Let us place the seats and determine the positions step-by-step:
Step 1: Position A, I, and H
According to the clue, "I is an immediate neighbor of both A and H." This means I must sit directly between A and H.
Let us place A at seat 1. Consequently, I can be at seat 2 or seat 9.
If we place I at seat 2, then H must be at seat 3.
Step 2: Position G
"G sits second to the left of H."
Since Left is clockwise, from H (seat 3), the seat second to the left is seat 5. Therefore, G is at seat 5.
We can verify this with the clue: "Only three people sit between A and G." Indeed, seats 2, 3, and 4 lie between seat 1 (A) and seat 5 (G) in the clockwise direction, containing exactly three people.
Step 3: Position B and C
"C sits third to the right of B, who is an immediate neighbor of A."
Since A is at seat 1, its immediate neighbors are seat 2 and seat 9. Since seat 2 is already occupied by I, B must be at seat 9.
"C sits third to the right of B." Since Right is counter-clockwise, from B (seat 9), we count three seats to the right (9 ⇒ 8 ⇒ 7 ⇒ 6). Thus, C is at seat 6.
Step 4: Position F
"Only one person sits between A and F."
From A (seat 1), going clockwise, the seat with one person in between is seat 3 (occupied by H). Going counter-clockwise, the seat with one person in between is seat 8. Thus, F is at seat 8.
Step 5: Position D and E
The remaining unoccupied seats are seat 4 and seat 7, and the remaining people are D and E.
We are told: "F is not an immediate neighbor of D."
Since F is at seat 8, its neighbors are seat 7 and seat 9. Since D cannot sit next to F, D cannot be at seat 7. Therefore, D must be at seat 4, and E must be at seat 7.
Final Seating Arrangement (Clockwise, 1 to 9):
1. A
2. I
3. H
4. D
5. G
6. C
7. E
8. F
9. B
Answering the Question:
We need to find who sits fourth to the right of I.
I is at seat 2. Counting counter-clockwise (to the right):
- 1st to the right: A (seat 1)
- 2nd to the right: B (seat 9)
- 3rd to the right: F (seat 8)
- 4th to the right: E (seat 7)
Thus, E sits fourth to the right of I.
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