Question Details

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?

Options

A

E

B

F

C

C

D

G

Show Answer

Correct Answer :

Option A

E

E

Solution :

Let's solve the circular arrangement problem step-by-step to find the person sitting fourth to the right of I.

We have 9 persons (A, B, C, D, E, F, G, H, I) sitting around a circular table, all facing towards the center.

Let's place them in positions 1 to 9 in a clockwise order around the circle.

1. "I is an immediate neighbor of both A and H."
This means I must sit between A and H. Let's fix their relative positions:
Let I be at position 1.
Then A and H must be at positions 9 and 2 (or vice versa).
Let's analyze: "G sits second to the left of H."
Since everyone is facing towards the center, "second to the left of H" means two places clockwise from H if H's position is viewed relative to the center. Let's define clockwise as right/left consistently.
Let's place H at position 2, I at position 1, and A at position 9.
For a person facing the center:
- Right is counter-clockwise (increasing position numbers: 1 → 2 → 3...)
- Left is clockwise (decreasing position numbers: 9 → 8 → 7...)
If H is at position 2:
Left of H would be position 1 (first to the left), and position 9 (second to the left).
But position 9 is already occupied by A. This creates a conflict because G sits second to the left of H.
Therefore, A must be at position 2, and H must be at position 9. Let's check this configuration:
- I is at position 1.
- H is at position 9.
- A is at position 2.
Now, "G sits second to the left of H":
- H is at position 9.
- First to the left of H (clockwise) is position 8.
- Second to the left of H is position 7.
So, G sits at position 7.

2. "Only three people sit between A and G."
Let's check the number of people between A (position 2) and G (position 7):
- Going clockwise: positions 1, 9, 8 (3 people: I, H, and the person at 8). This matches!
- Going counter-clockwise: positions 3, 4, 5, 6 (4 people). This also fits the circular layout since on one side there are exactly 3 people.

3. "C sits third to the right of B, who is an immediate neighbor of A."
B is an immediate neighbor of A (position 2). Since I is at position 1, the other neighbor of A must be B. So, B sits at position 3.
C sits third to the right of B:
- B is at position 3.
- First to the right (counter-clockwise) is position 4.
- Second to the right is position 5.
- Third to the right is position 6.
So, C sits at position 6.

4. "Only one person sits between A and F."
A is at position 2.
- One person between A and F going clockwise: position 9 is H, so F cannot be at 8.
- One person between A and F going counter-clockwise: position 3 is B, so F must be at position 4.

5. "F is not an immediate neighbor of D."
F is at position 4. Its neighbors are B (position 3) and position 5.
Since D cannot sit next to F, D cannot be at position 5.
The remaining empty positions are 5 and 8.
Since D cannot be at position 5, D must be at position 8.
Consequently, the only remaining person, E, must sit at position 5.

Let's summarize the final circular arrangement (from 1 to 9 counter-clockwise):
- Position 1: I
- Position 2: A
- Position 3: B
- Position 4: F
- Position 5: E
- Position 6: C
- Position 7: G
- Position 8: D
- Position 9: H

6. "Who among the following sit fourth to the right of I?"
Starting from I (position 1) and moving to the right (counter-clockwise):
- 1st to the right: A (position 2)
- 2nd to the right: B (position 3)
- 3rd to the right: F (position 4)
- 4th to the right: E (position 5)
Therefore, E sits fourth to the right of I.

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