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Question

6 girls J, K, L, A, B and C are sitting around a square table facing the centre (not necessarily in the same order). 4 girls are sitting in the corners and 2 girls are sitting one each in the middle of two opposite sides of the square. L and C are sitting opposite each other. L is the immediate neighbour of A and B. C is not sitting on the corner.

Who are the immediate neighbours of C?

The correct answer is

J and K

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:

A (Corner) L (Middle Side) B (Corner)
(Empty Corner) (Empty Corner)
J (Corner) C (Middle Side) K (Corner)

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

Clue Deduction
C not on corner C is in middle of a side
L opposite C L is in middle of opposite side
L neighbours A & B A & B are in corner seats next to L
Remaining girls J & K Remaining seats are corners next to C
Therefore... J & K are neighbours of C

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.

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Important Questions from Polygon Arrangement

  1. 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?

  2. 6 persons A, B, C, D, E and F are sitting around a rectangular table, facing towards the centre (not necessarily in the same order). One person is sitting on each of the smaller sides. Two persons are sitting on each of the bigger sides. No person is sitting at the corners. C and F are sitting on the same side. B is sitting opposite to A. F is the immediate neighbour of B. A is sitting second to the left of D.

    Counting towards the left of D, how many persons are sitting between A and D?

  3. Seven friends, A, B, C, D, E, F, and G are seating around a square table, facing towards the centre. Some of them are sitting at the corners while some are sitting at the exact centre of the sides of the table. One seat is left vacant. D is sitting exactly at the centre of one of the sides of the table. C is sitting at a corner, third to the left of B. There are exactly two people sitting between C and D. F is an immediate neighbour of both B and D. A is second to the right of F. E is not an immediate neighbour of A, but third to the left of F. G is an immediate neighbour of C. Where is the vacant seat?

  4. Rashmi, Sunita, Mona and Sakshi are sitting around a square table. Rashmi is to the right of Sunita. Mona is to the left of Sakshi. Which of the persons mentioned in the options is sitting opposite to each other?

  5. 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?

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