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 H is sitting between L and F and and I is sitting between the D and E., then H will be facing ?
I
This problem requires us to determine the seating arrangement of twelve classmates around a square table based on a set of rules and then identify who a specific person, H, is facing.
Square Table Seating Arrangement Setup
We have twelve classmates (A, B, C, D, E, F, G, H, I, J, K, L) sitting around a square table. The table has 3 persons on each side. We can visualize the seats numbered 1 through 12 in a clockwise manner:
- Side 1 (Top): Seats 1, 2, 3
- Side 2 (Right): Seats 4, 5, 6
- Side 3 (Bottom): Seats 7, 8, 9
- Side 4 (Left): Seats 10, 11, 12
In this setup, opposite seats are typically 6 positions apart (e.g., Seat 1 is opposite Seat 7, Seat 2 opposite Seat 8, and so on).
Deducing Seating Positions
Let's break down the clues to determine the exact seating positions:
- "K is sitting diagonally to C.": This implies that C and K are seated at opposite corner positions. Let's assume C is at Seat 3 (a top corner). Then K must be at Seat 7 (the diagonally opposite bottom corner).
- "ABC and GJK are sitting on opposite sides.": Since C is at Seat 3 (Top side), the group {A, B, C} occupies the Top side (Seats 1, 2, 3). As C is at Seat 3, A and B must be at Seats 1 and 2. Similarly, since K is at Seat 7 (Bottom side), the group {G, J, K} occupies the Bottom side (Seats 7, 8, 9). As K is at Seat 7, G and J must be at Seats 8 and 9.
- "A and L are adjacent to each other.": If A is at Seat 1, the adjacent seats are Seat 2 (occupied by B) and Seat 12. Since Seat 2 is taken by B, L must be at Seat 12. (If A were at Seat 2, the adjacent seats are 1 (B) and 3 (C), neither of which L can be). So, A is at Seat 1, B at Seat 2, C at Seat 3, and L at Seat 12.
- "H is sitting between L and F": L is at Seat 12. The seats on the Left side are 10, 11, 12. For H to be between L (Seat 12) and F, the arrangement must be F, H, L along these seats. Thus, F is at Seat 10, and H is at Seat 11.
- "I is sitting between the D and E.": The remaining people are D, E, and I. The remaining seats are 4, 5, and 6 (Right side). For I to be between D and E, I must occupy the middle seat (Seat 5), while D and E occupy Seats 4 and 6 (in any order).
Based on these deductions, the seating arrangement is:
| 1 (A) | 2 (B) | 3 (C) |
| 12 (L) | (Empty - Side) | 4 (D/E) |
| 11 (H) | (Empty - Side) | 5 (I) |
| 10 (F) | (Empty - Side) | 6 (E/D) |
| 9 (J/G) | 8 (G/J) | 7 (K) |
Finding Who H Faces
From the deduced arrangement, H is sitting at Seat 11.
To find who H is facing, we need to identify the seat opposite Seat 11.
The opposite seat calculation is: Seat Number + 6.
For Seat 11, the opposite seat is $11 + 6 = 17$. Since there are only 12 seats, we find the equivalent position by subtracting 12: $17 - 12 = 5$.
Alternatively, the opposite pairs are:
- 1 opposite 7
- 2 opposite 8
- 3 opposite 9
- 4 opposite 10
- 5 opposite 11
- 6 opposite 12
H is at Seat 11. According to the pairing, Seat 11 is opposite Seat 5.
We determined that Seat 5 is occupied by I.
Therefore, H is facing 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 F is sitting between D and E, who is sitting to the left of K?
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?
