Understanding the Seating Arrangement Puzzle

This question involves a seating arrangement around a square table. There are 6 girls: J, K, L, A, B, and C. They are all facing the center of the table. The setup specifies that 4 girls are sitting in the corners and 2 girls are sitting one each in the middle of two opposite sides.

Let's break down the clues provided to determine the seating positions.

Analyzing the Clues

1. "L and C are sitting opposite each other." This tells us their relative positions.
2. "C is not sitting on the corner." This is a crucial piece of information. Since there are corner seats and middle-of-the-side seats, and C is not in a corner, C must be sitting in the middle of a side.
3. Combining clues 1 and 2: If C is in the middle of a side, and L is opposite C, then L must be sitting in the middle of the side directly across from C. So, both C and L occupy the two middle-of-the-side positions.
4. "L is the immediate neighbour of A and B." L is sitting in the middle of a side. The immediate neighbours of someone sitting in the middle of a side at a square table are the two people sitting at the corners adjacent to that side. Therefore, A and B must be sitting at the two corner seats next to L.

Deducing the Seating Positions

Based on the clues, we can start placing the girls:

• C is in the middle of a side. Let's assume C is in the middle of the bottom side.
• L is opposite C, so L is in the middle of the top side.
• L's neighbours are A and B. These must be the two corner seats on either side of L on the top side. So, A and B are at the top-left and top-right corners (the exact order of A and B between themselves is not yet determined, but they occupy these two spots).

So far, we have placed C (middle-bottom), L (middle-top), A (top corner), and B (top corner). That accounts for 4 girls and 4 seats (2 middle-side, 2 corner).

The total number of seats is 6 (4 corners + 2 middle-side). We have used 2 middle-side seats and 2 corner seats. The remaining seats are the two corners on the bottom side of the table, adjacent to C.

The girls remaining to be seated are J and K.

These two remaining girls (J and K) must occupy the two remaining seats, which are the bottom corners adjacent to C.

Finding the Immediate Neighbours of C

C is sitting in the middle of the bottom side. The seats immediately next to C, on either side, are the two bottom corner seats. We deduced that J and K are sitting in these two bottom corner seats.

Therefore, the immediate neighbours of C are J and K.

Summary of Seating Deduction

Let's visualize the setup:

Note: The positions of J and K could be swapped, and the positions of A and B could be swapped. Also, the initial assumption of C being on the 'bottom' side is arbitrary; C could be on any side's middle position, and the configuration would rotate accordingly, but the relative positions (like C's neighbours being J and K) would remain consistent.

Conclusion

Based on the logical deduction from the given clues, the two girls sitting immediately next to C are J and K.

Revision Table: Key Deductions

Additional Information: Seating Arrangement Concepts

Seating arrangement puzzles test your ability to understand and interpret spatial relationships based on given conditions. Key terms you might encounter include:

• Facing the center: Everyone is looking towards the middle of the table. Immediate neighbours are on your left and right.
• Facing away from the center: Everyone is looking outwards. Immediate neighbours are still on your left and right, but the direction of left/right is reversed relative to facing the center.
• Opposite: The person directly across the table.
• Immediate Neighbour: The person sitting directly next to someone on either side.
• Corner Seats: Positions at the vertices of a square/rectangular table.
• Middle-of-the-side Seats: Positions exactly in the center of each side of a square/rectangular table.

Always start with the most restrictive clues (like 'not on corner' or specific opposite positions) and build the arrangement step by step.