Question are based on the following instructions Twelve classmates A, B, C, D, E, F, G, H I, J, K and L are sitting on a square table with 3 persons on each side. ABC and GJK are sitting on opposite sides. A and L are adjacent to each other. K is sitting diagonally to C.
If F is sitting between D and E, who is sitting to the left of K?
H or I
Understanding the Seating Arrangement Puzzle
This problem requires us to determine the seating positions of 12 classmates around a square table. The table has 3 people seated on each of its four sides. We need to use the given conditions to figure out the exact arrangement and then identify who is sitting to the left of a specific person, K.
Key Constraints and Deductions
We must consider the following rules to solve the puzzle:
- Table Setup: A square table with 3 people on each side, totaling 12 seats.
- Opposite Sides: The groups of people ABC and GJK are seated on opposite sides of the table.
- Diagonal Placement: K is positioned diagonally opposite to C.
- Adjacency Rule: A and L are sitting next to each other (adjacent).
- Specific Scenario: F is seated between D and E. This means they sit in a sequence like D-F-E or E-F-D.
Let's map out the seats. We can number the seats 1 through 12 around the table. Let's assume the sides are Top (Seats 1, 2, 3), Right (Seats 4, 5, 6), Bottom (Seats 7, 8, 9), and Left (Seats 10, 11, 12).
| Top Side | ||
|---|---|---|
| Seat 1 | Seat 2 | Seat 3 |
| Seat 12 | Seat 4 | |
| Seat 11 | Seat 5 | |
| Seat 10 | Seat 6 | |
| Bottom Side | ||
| Seat 9 | Seat 8 | Seat 7 |
The condition "K is sitting diagonally to C" is crucial. Let's test placing C in the middle seat of the Top side (Seat 2). If C is at Seat 2, the diagonally opposite seat is Seat 8 (middle of the Bottom side). So, K must be at Seat 8.
We know ABC sit on one side and GJK sit on the opposite side. If C is at Seat 2 (Top side), then A and B must occupy Seats 1 and 3. Correspondingly, if K is at Seat 8 (Bottom side), then G and J must occupy Seats 7 and 9.
Now, let's apply the adjacency rule: "A and L are adjacent". A is either at Seat 1 or Seat 3. If A is at Seat 1, its adjacent seats are Seat 2 (occupied by C) and Seat 12. Since Seat 2 is taken, L must be in Seat 12. This arrangement works.
So far:
- Top Side (Seats 1-3): A is Seat 1, C is Seat 2, B is Seat 3.
- Bottom Side (Seats 7-9): K is Seat 8, G/J are Seats 7 and 9.
- Left Side (Seat 12): L is in Seat 12.
The remaining classmates are D, E, F, H, and I. The remaining seats are Seats 4, 5, 6 (Right Side) and Seats 10, 11 (Left Side).
The rule "F is sitting between D and E" means D, F, and E are together. They need three consecutive seats. The only block of three consecutive seats available is Seats 4, 5, and 6 on the Right Side. Thus, D, F, E occupy these seats (in D-F-E or E-F-D order).
This leaves H and I to occupy the remaining seats on the Left Side, which are Seat 10 and Seat 11. (Note: L is already in Seat 12).
Final Seating Configuration
The final arrangement, satisfying all conditions, is:
| Seat 1: A | Seat 2: C | Seat 3: B |
| Seat 12: H/I | Seat 4: D/E | |
| Seat 11: I/H | Seat 5: F | |
| Seat 10: L | Seat 6: E/D | |
| Seat 9: J/G | Seat 8: K | Seat 7: G/J |
Summary of placements:
- Top Side (Seats 1-3): A, C, B
- Bottom Side (Seats 7-9): G/J, K, J/G
- Right Side (Seats 4-6): D/E, F, E/D
- Left Side (Seats 10-12): L (Seat 10), I/H (Seat 11), H/I (Seat 12)
Determining Who Sits to the Left of K
The question asks to identify the person seated to the left of K. K is located at Seat 8.
If we imagine sitting at K's position (Seat 8) and looking towards the center of the table:
- The person to K's right is in Seat 7 (G/J).
- The person situated next to K, connecting towards the Left Side seats, is in Seat 11.
According to our derived arrangement, the individuals in Seats 10, 11, and 12 are L, H, and I. Specifically, Seat 11 is occupied by either H or I.
Therefore, the person sitting to the left of K is either H or I.
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?
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?
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?
