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
A, B, C, D, E, F, G and H are sitting around a square table facing the centre of the table. Some of them are sitting at the corners while some are sitting at the exact centre of the sides.
G sits second to the right of F. B sits second to the right of A. C sits third to the right of H. E sits third to the right of F. C is not the immediate neighbour of A. Who sits second to the right of B?
V, W, X, Y, Z, A, B and C were sitting around a square table facing the centre. Some of these were sitting at corners and some were sitting at exact centre of the sides. C was to the immediate right of W. B was third to the left of Z. A was the immediate neighbour of X and C. Z, not at any corner, was the immediate neighbour of W and Y. Who among the following was sitting third to the right of A?
If F is sitting between D and E, who is sitting to the left of K?
If H is sitting between L and F and and I is sitting between the D and E., then H will be facing ?
If G and E are facing C and H respectively and I is sitting between the L and H and F is sitting between the D and E then neighbors of K are?
