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Question

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?

The correct answer is

G

Solving the Seating Arrangement Puzzle

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.

Analyzing the Clues

Let's break down the information given:

  • Total friends: 8 (A, B, C, D, E, F, G, H)
  • Arrangement: 2 rows, 4 people per row, facing each other.
  • Clue 1: A is sitting opposite to D.
  • Clue 2: A is a neighbour of B and E.
  • Clue 3: H and C are sitting at the right-most corners of their respective rows.
  • Clue 4: E and F are sitting at the left-most corners of their respective rows.
  • Clue 5: G is sitting next to F.

Deducing the Seating Arrangement

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):

  • E and H are in one row at the left and right corners respectively.
  • F and C are in the other row at the left and right corners respectively.

Let's place E and H in Row 1, and F and C in Row 2:

  • E is at Row 1, Seat 1 (Left corner).
  • H is at Row 1, Seat 4 (Right corner).
  • F is at Row 2, Seat 1 (Left corner).
  • C is at Row 2, Seat 4 (Right corner).
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):

  • F is in Row 2, Seat 1.
  • G must be in the seat next to F in Row 2, which is Seat 2.
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):

  • E is in Row 1, Seat 1.
  • For A to be a neighbour of E, A must be in Row 1, Seat 2.
  • For A (in Row 1, Seat 2) to be a neighbour of B, B must be in Row 1, Seat 3.
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:

  • Row 1: E A B H (from left to right)
  • Row 2: F G D C (from left to right)

Verifying and Determining Opposition

Let's verify all clues with this arrangement:

  • 8 friends, 2 rows, facing each other: Yes.
  • H and C are at right-most corners (H at R1 Seat 4, C at R2 Seat 4): Yes.
  • E and F are at left-most corners (E at R1 Seat 1, F at R2 Seat 1): Yes.
  • G is sitting next to F (G at R2 Seat 2, F at R2 Seat 1): Yes.
  • A is a neighbour of B and E (A at R1 Seat 2, E at R1 Seat 1, B at R1 Seat 3): Yes, A is between E and B.

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:

  • Row 1 Seat 1 (E) opposite Row 2 Seat 4 (C)? Yes.
  • Row 1 Seat 2 (A) opposite Row 2 Seat 3 (D)? Yes (This matches Clue 1).
  • Row 1 Seat 3 (B) opposite Row 2 Seat 2 (G)? Let's check if this fits the options.
  • Row 1 Seat 4 (H) opposite Row 2 Seat 1 (F)? Yes.

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.

Finding the Person Opposite B

We are asked who is sitting opposite to B.

  • B is in Row 1, Seat 3.
  • According to the deduced opposition pattern (S1 <-> T4, S2 <-> T3, S3 <-> T2, S4 <-> T1), Row 1 Seat 3 (S3) is opposite Row 2 Seat 2 (T2).
  • The person sitting in Row 2, Seat 2 is G.
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.

Revision Table: Key Deductions

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)

Additional Information: Seating Arrangement Puzzles

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:

  • Linear vs. Circular Arrangement: Understand the basic layout (straight line, circle, square, etc.).
  • Facing Direction: Pay attention to whether people are facing North, South, towards the center, or away from the center, as this affects Left/Right references and who is opposite whom. In two-row puzzles, people usually face the other row.
  • Relative Positions: Clues like "next to," "to the left/right of," "opposite," "between," and "at the ends" are crucial. "Neighbour" typically means immediately adjacent.
  • Deductive Steps: Start with the most concrete clues (like corners or being exactly between two people) and build the arrangement step by step. Eliminate possibilities as you go.
  • Handling Conflicts: If a clue contradicts your current arrangement, re-evaluate your interpretation of the clues or the arrangement constraints (like the definition of "opposite"). Sometimes, unusual opposition patterns are implied to make all clues consistent.
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Important Questions from Seating Arrangement

  1. Five friends, Bhumika, Rashi, Shweta, Vibha and Arunima, are sitting in a row facing east. Bhumika is sitting between Vibha and Shweta. Rashi is second to the left of Shweta. Who is sitting at the south end?

  2. O, P, Q, R, S, T and U are sitting in a row facing north. U is sitting to the immediate right of T. Q is sitting in between R and O. P, who is on the extreme right, is sitting to the immediate right of O. S is sitting to the immediate left of R. Who is sitting in the middle of the row ?

  3. Six friends are sitting in a straight line. E is 4th from the right. E is between B and D. A is adjacent to B. D is adjacent to C. D is between E and C. F is adjacent to C. Who is sitting between F and D?

  4. In hall there are seven children (including girls and boys) P, Q, R, S, T, U and V. They sit on three benches I, II and III. Such that at least two children on each bench and at least one girl on each bench. R who is a girl child, does not sit with P, T and S. U the boychild sit with only Q. P sits on the bench I with his best friends. V sits on the bench III. T is the brother of R.  Who sits with R?

  5. Five people Palak, Karol, Risha, Saloni and Tishaare travelling in a car. The car has two seats in the front and three at the back. Rishais driving the car. Palak wants to sit at one of the window seats at the back of the car. Tisha wants to sit next to Palak. Karol hates Tisha and will not sit with Tisha. Who is sitting next to the driver ?
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