8 boys G, H, I, J, K, L, M and N are sitting around a square table facing towards the centre (not necessarily in the same order). Four boys are sitting at the corner and four boys are sitting in the middle of the sides. J is the immediate neighbour of G and H and he is sitting at a corner. M is the immediate neighbour of N and K. L is the sitting in the middle of the side. G is not sitting opposite to L. N is towards the immediate right of H. Who is sitting diagonally opposite to I?
N
Understanding the Square Table Seating Arrangement
This question involves a classic seating arrangement puzzle where 8 boys are seated around a square table. Four boys are at the corners, and four are in the middle of the sides. Everyone is facing towards the centre of the table. We need to use the given clues to determine the exact position of each boy and then identify who is sitting diagonally opposite to I.
Analyzing the Clues for Seating Arrangement
Let's break down the clues and use them to deduce the seating plan step-by-step:
- J is the immediate neighbour of G and H and he is sitting at a corner. This tells us J is at a corner, and G and H are on the two sides adjacent to that corner, in the middle positions of those sides.
- L is the sitting in the middle of the side. This is a general clue about L's position type.
- N is towards the immediate right of H. Immediate right, when facing the center, means the next seat in the clockwise direction relative to H's position.
- M is the immediate neighbour of N and K. This implies M is sitting between N and K.
- G is not sitting opposite to L. This is a constraint we must satisfy in the final arrangement.
Step-by-Step Deduction of Seating Positions
Let's assume a standard square table with 4 corners (C1, C2, C3, C4) and 4 middle seats (M1, M2, M3, M4) between the corners in clockwise order (e.g., C1 - M1 - C2 - M2 - C3 - M3 - C4 - M4).
- J is at a corner. Let's place J at C1. Its neighbours are at M4 and M1. So, G and H are at M4 and M1 (in any order for now).
- N is towards the immediate right of H.
- If H is at M1, immediate right is C2. So N is at C2. This is a corner seat, which is possible for N based on other clues.
- If H is at M4, immediate right is C1. But C1 is occupied by J. So H cannot be at M4.
- Current arrangement (clockwise from J at C1): J(C1), H(M1), N(C2), ?, ?, ?, ?, G(M4).
- M is the immediate neighbour of N and K. N is at C2. Its neighbours are H (at M1) and the person at M2. Since M is between N and K, M must be at M2, and K must be the other person adjacent to M, which would be at C3 (corner).
- Current arrangement (clockwise from J at C1): J(C1), H(M1), N(C2), M(M2), K(C3), ?, ?, G(M4). The remaining spots are M3 and C4.
- The remaining boys are I and L.
- L is in the middle of the side. The only remaining middle seat is M3. So, L is at M3.
- The last remaining boy is I, and the last remaining spot is C4 (corner). So, I is at C4.
Let's verify the final arrangement (clockwise): J(C1), H(M1), N(C2), M(M2), K(C3), L(M3), I(C4), G(M4).
Check the condition: G is not sitting opposite to L. Opposite positions in this setup are:
| Position | Opposite Position |
|---|---|
| C1 | C3 |
| M1 | M3 |
| C2 | C4 |
| M2 | M4 |
G is at M4. L is at M3. Opposite M4 is M2. Opposite M3 is M1. G is not opposite L. The condition holds true.
Finding the Person Diagonally Opposite to I
I is sitting at a corner position, specifically C4 in our deduced arrangement. Diagonally opposite to a corner seat is the corner seat directly across the table.
Looking at the opposite pairs table above, the position diagonally opposite to C4 is C2.
Who is sitting at position C2? Our arrangement shows N is at C2.
Therefore, N is sitting diagonally opposite to I.
Revision Table: Key Positions
| Boy | Position Type | Specific Position (Clockwise from C1) |
|---|---|---|
| J | Corner | C1 |
| H | Middle | M1 |
| N | Corner | C2 |
| M | Middle | M2 |
| K | Corner | C3 |
| L | Middle | M3 |
| I | Corner | C4 |
| G | Middle | M4 |
Additional Information on Seating Puzzles
Seating arrangement puzzles require careful reading and logical deduction. Key terms to understand include:
- Immediate Neighbour: The person sitting directly next to someone on either side.
- Immediate Left/Right: The next person in the counter-clockwise/clockwise direction, assuming everyone is facing the center.
- Opposite: The person directly across the table. In a square arrangement with corner and middle seats, corners are opposite corners, and middle seats are opposite middle seats.
- Diagonally Opposite: Specifically refers to corners being opposite other corners across the table.
It's often helpful to draw a diagram and fill in positions as you deduce them, or use labels for positions like C1, M1, etc., and assign people to them.
Important Questions from Polygon Arrangement
Four friends, H, I, J and K, are sitting at the four corners of a square facing towards the centre. H and J are sitting at diagonally opposite corners. I is sitting to the immediate left of H. Who is sitting to the immediate right of J?
Four friends named A, B, C, and D are sitting around a square table in a restaurant. If B is sitting in front of A and diagonally opposite to D, then who is sitting in front of C?
Five persons, A, B, C, D and E, are sitting at each corner of a pentagonal table, facing the centre. C is to the right of A and is second to the left of D. E is not between A and D. Who is sitting third to the left of E?
Eight boys, P, Q, R, S, T, U, V and W, are seated around a round table, not necessarily in same order, but with equal spacing between them and all facing the centre of the table. S is seated exactly opposite to P, who has U and R as his immediate neighbours. T is seated immediately next to V, who is to the immediate right of S. Q is exactly opposite to T and does not have R as his immediate neighbour. With this information, which of the following statements is correct?
A group of friends are sitting in an arrangement with one each at the corner of an octagon. All are facing the centre. Medha is sitting diagonally opposite Radha. Medha is on Seema’s left. Raman is next to Seema and opposite Govind. Govind is on Chandra’s right. Shanti is not on Medha’s right but is opposite to Shashi. Who is opposite Chandra?
