Hexagonal Table Seating Arrangement Puzzle Solution

This question involves solving a seating arrangement puzzle around a hexagonal table. Six friends — Prem, Kazi, Ritvik, Sunny, Tinu, and Utkarsh — are seated at the six corners of the table, all facing the center. We need to use the given clues to determine the exact position of each person.

Let's break down the clues and build the arrangement step by step. Assume positions are numbered 1 through 6 clockwise around the table for clarity. Since everyone is facing the center, "left" will mean moving clockwise around the table from the perspective of the person sitting there.

• Clue 1: Prem is second to the left of Utkarsh.

  If we place Utkarsh (U) at position 1, the person to his left is at position 2, and the person second to his left is at position 3. So, Prem (P) is at position 3.

  Current arrangement: U(1), ?(2), P(3), ?(4), ?(5), ?(6)

• Clue 3: Tinu is second to the left of Sunny.

  This clue relates two people we haven't placed yet. We know Tinu (T) and Sunny (S) are among the remaining people (Kazi, Ritvik, Sunny, Tinu) who will occupy positions 2, 4, 5, 6.

  The only remaining position Tinu can occupy, based on available spots (2, 4, 5, 6), which is second to the left of another available spot, is position 2. If Tinu is at position 2, let's see who Sunny could be second left of:

  • Second left of position 4 is position 6. (Tinu is not at 6)
  • Second left of position 5 is position 1 (Utkarsh). (Tinu is not Utkarsh)
  • Second left of position 6 is position 2. (Tinu is at 2)

  This means Sunny must be at position 6 for Tinu to be second to his left.

  Current arrangement: U(1), T(2), P(3), ?(4), ?(5), S(6)

• Clue 2: Kazi is a neighbor of Ritvik and Sunny.

  This means Kazi (K) must be seated between Ritvik (R) and Sunny (S). The sequence must be R-K-S or S-K-R in consecutive seats.

  From our current arrangement, we have S at position 6. The remaining positions are 4 and 5. The remaining people are Kazi and Ritvik. Since Kazi must be between Ritvik and Sunny, and Sunny is at 6, Kazi must be at position 5, making Ritvik the other neighbor at position 4.

  Current arrangement: U(1), T(2), P(3), R(4), K(5), S(6)

Let's verify the final arrangement with all clues:

• Prem is second to the left of Utkarsh. Utkarsh is at 1. Second left (clockwise) of 1 is 3. Prem is at 3. Correct.
• Kazi is a neighbor of Ritvik and Sunny. Kazi is at 5. His neighbors are at 4 and 6. Ritvik is at 4 and Sunny is at 6. Correct.
• Tinu is second to the left of Sunny. Sunny is at 6. Second left (clockwise) of 6 is 2. Tinu is at 2. Correct.

The final seating arrangement is:

The question asks: Who is sitting in front of Tinu?

In a hexagonal arrangement with 6 people facing the center, the person sitting directly in front of another person is at the opposite corner. If we consider positions 1-6 clockwise, opposite pairs are (1 and 4), (2 and 5), (3 and 6).

Tinu is sitting at position 2. The position opposite position 2 is position 5.

The person sitting at position 5 is Kazi.

Therefore, Kazi is sitting in front of Tinu.

Revision Table: Seating Arrangement Puzzle

This table summarizes the final deduced seating arrangement.

Additional Information: Solving Seating Puzzles

Seating arrangement questions are common in logical reasoning tests. Here are some tips for solving them effectively:

• Draw a Diagram: Always draw the table shape (circle, square, hexagon, etc.) and mark the positions. This helps visualize the arrangement.
• Fix a Position: If no specific position is given for anyone, start by placing one person in an arbitrary position (e.g., top or position 1). The relative positions derived from the clues will still be valid.
• Understand Directions: Pay close attention to "left" and "right". When people face the center, left is typically clockwise and right is counter-clockwise. If they face outwards, it's the opposite.
• Look for Chains/Blocks: Clues like "A is between B and C" or "A, B, and C are sitting together" indicate a block of people that must occupy consecutive seats.
• Connect Clues: Find clues that share a person or a relationship. For example, if one clue mentions A's position relative to B, and another mentions B's position relative to C, you can link them.
• List Possibilities: If a clue gives multiple options (e.g., X is at position 3 or 7), note them down and see which ones are eliminated by other clues.
• Verify the Final Arrangement: Once you have a potential arrangement, read through all the original clues and check if your arrangement satisfies every condition.