Eight friends are sitting in 2 rows facing each other. A is sitting opposite to D and is a neighbour of B and E. H and C are sitting at the right-most corners and E and F are sitting at the left-most corners of their respective rows. If G is sitting next to F, then who is sitting opposite to B?
G
This is a logical reasoning puzzle where we need to determine the seating positions of eight friends based on the given clues. The friends are sitting in two rows facing each other, with four people in each row.
Let's break down the information given:
Let's label the rows as Row 1 and Row 2. Assume Row 1 faces Row 2. Let the seats in each row be numbered 1 to 4 from left to right.
Using Clues 3 and 4 (Corner positions):
Let's place E and H in Row 1, and F and C in Row 2:
| Row 1 (Facing Row 2) | Seat 1 (Left) | Seat 2 | Seat 3 | Seat 4 (Right) |
|---|---|---|---|---|
| Friend | E | ? | ? | H |
| Row 2 (Facing Row 1) | Seat 1 (Left) | Seat 2 | Seat 3 | Seat 4 (Right) |
|---|---|---|---|---|
| Friend | F | ? | ? | C |
Using Clue 5 (G next to F):
| Row 2 (Facing Row 1) | Seat 1 (Left) | Seat 2 | Seat 3 | Seat 4 (Right) |
|---|---|---|---|---|
| Friend | F | G | ? | C |
Using Clue 2 (A is a neighbour of B and E):
| Row 1 (Facing Row 2) | Seat 1 (Left) | Seat 2 | Seat 3 | Seat 4 (Right) |
|---|---|---|---|---|
| Friend | E | A | B | H |
Now we have Row 1 completely filled: E, A, B, H. In Row 2, we have F, G, C. The only remaining friend is D, and the only remaining seat in Row 2 is Seat 3.
| Row 2 (Facing Row 1) | Seat 1 (Left) | Seat 2 | Seat 3 | Seat 4 (Right) |
|---|---|---|---|---|
| Friend | F | G | D | C |
The complete seating arrangement is:
Let's verify all clues with this arrangement:
Now consider Clue 1: A is sitting opposite to D. In our arrangement, A is in Row 1, Seat 2, and D is in Row 2, Seat 3.
For A (R1 Seat 2) to be opposite D (R2 Seat 3), the opposition pattern cannot be the standard direct alignment (Seat 1 opposite Seat 1, Seat 2 opposite Seat 2, etc.). Given that all other clues fit this arrangement perfectly, the opposition must follow a pattern where Row 1 Seat 2 is opposite Row 2 Seat 3.
Let's look for a consistent pattern based on this: If Row 1 Seat 2 is opposite Row 2 Seat 3 (S2 <-> T3), and assuming symmetry, perhaps Seat 3 in Row 1 is opposite Seat 2 in Row 2 (S3 <-> T2). Also, the corners might be opposite diagonally: Seat 1 in Row 1 opposite Seat 4 in Row 2 (S1 <-> T4), and Seat 4 in Row 1 opposite Seat 1 in Row 2 (S4 <-> T1).
Let's check this criss-cross opposition pattern with our arrangement:
This specific criss-cross opposition pattern (S1 <-> T4, S2 <-> T3, S3 <-> T2, S4 <-> T1) makes all the clues, including "A is opposite D", consistent with the derived seating arrangement.
We are asked who is sitting opposite to B.
| Row 1 | Seat 1 (E) | Seat 2 (A) | Seat 3 (B) | Seat 4 (H) |
|---|---|---|---|---|
| Opposite in Row 2 | Seat 4 (C) | Seat 3 (D) | Seat 2 (G) | Seat 1 (F) |
Therefore, G is sitting opposite to B.
| Clue | Deduction | Placement |
|---|---|---|
| E, F at left corners | E in R1 S1, F in R2 S1 | R1: E \_ \_ \_, R2: F \_ \_ \_ |
| H, C at right corners | H in R1 S4, C in R2 S4 | R1: E \_ \_ H, R2: F \_ \_ C |
| G next to F | G in R2 S2 | R2: F G \_ C |
| A neighbour of E | A in R1 S2 | R1: E A \_ H |
| A neighbour of B | B in R1 S3 | R1: E A B H |
| Remaining person/seat | D in R2 S3 | R2: F G D C |
| A opposite D (R1 S2 vs R2 S3) | Establishes criss-cross opposition pattern (S1-T4, S2-T3, S3-T2, S4-T1) |
Seating arrangement puzzles are common in logical reasoning sections of competitive exams. They test your ability to follow multiple conditions simultaneously and build a spatial model. Key aspects to consider when solving these puzzles include:
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