Solving the Circular Seating Arrangement Puzzle

This question involves a circular seating arrangement puzzle where seven friends are sitting around a dining table, facing the centre. We need to use the given clues to determine the position of each friend and then answer the specific question about who is sitting fourth to the left of Gopal.

Analyzing the Clues for Seating Arrangement

Let's break down the information provided and build the arrangement step by step:

• There are 7 friends: Aravind (A), Bhanu (B), Charan (C), Dilip (D), Prem (P), Koushal (K), and Gopal (G).
• They are sitting around a circular table, facing the centre. This means 'right' is clockwise movement and 'left' is anti-clockwise movement relative to a person.

Now, let's place them based on the clues:

1. "Koushal is second to the right of Gopal."

   Let's fix Gopal's position. Moving clockwise from Gopal, the person in the second position is Koushal.

   Sequence (clockwise from Gopal): Gopal → (1st right) → Koushal (2nd right)

2. "Prem is sitting fourth at the right of Gopal."

   Moving clockwise from Gopal, the person in the fourth position is Prem.

   Sequence (clockwise from Gopal): Gopal → (1st right) → (2nd right) → (3rd right) → Prem (4th right)

   Combining clues 1 and 2, and visualizing 7 positions in a circle:

   Position (from Gopal, clockwise)	Friend
   Gopal	G
   1st Right	?
   2nd Right	K
   3rd Right	?
   4th Right	P
   5th Right	?
   6th Right	?

3. "Bhanu is a neighbour of Koushal but not of Charan."

   Koushal has two neighbours. One neighbour is the person immediately to Koushal's right, and the other is immediately to Koushal's left. Bhanu is one of these two neighbours. Since Bhanu is NOT a neighbour of Charan, Charan cannot be the other neighbour of Koushal if Bhanu is also a neighbour.

   From the partial arrangement: G → ? → K → ? → P → ? → ?

   Koushal is at the 2nd right of Gopal. His neighbours are the person at 1st right of Gopal and the person at 3rd right of Gopal.

   So, Bhanu is either at 1st right of Gopal or at 3rd right of Gopal.

4. "Prem is a neighbour of Charan."

   Prem is at the 4th right of Gopal. Prem has two neighbours: the person at the 3rd right of Gopal and the person at the 5th right of Gopal. Since Prem is a neighbour of Charan, Charan must be at either the 3rd right of Gopal or the 5th right of Gopal.

5. "Dilip is between Prem and Aravind."

   In a circular arrangement, "between X and Y" usually implies they sit in sequence X, Z, Y or Y, Z, X. So, the sequence is either Prem → Dilip → Aravind or Aravind → Dilip → Prem in adjacent seats around the table.

Deducing the Final Arrangement

Let's use the clues about neighbours and the P-D-A sequence to finalize the positions.

• From clue 4, Charan is at 3rd right or 5th right of Gopal.
• From clue 3, Bhanu is at 1st right or 3rd right of Gopal, AND Bhanu is not Charan's neighbour.

Consider the possibility for Charan's position:

• Possibility 1: Charan is at the 3rd right of Gopal.

  Arrangement so far: G → ? → K → C → P → ? → ?

  Koushal's neighbours are at 1st right and 3rd right. The person at 3rd right is Charan. Bhanu is a neighbour of Koushal but not Charan. Koushal's neighbours are at 1st right and 3rd right (Charan). So Bhanu must be at the 1st right of Gopal.

  Current arrangement: G → B → K → C → P → ? → ?

  Remaining friends: Dilip and Aravind. Remaining positions: 5th right and 6th right of Gopal.

  The sequence Dilip is between Prem and Aravind must fit into the remaining spots. Prem is at 4th right. The sequence Prem, Dilip, Aravind must be at 4th right, 5th right, 6th right. This fits perfectly!

  Full arrangement (clockwise from Gopal): Gopal → Bhanu → Koushal → Charan → Prem → Dilip → Aravind.

  Let's check all clues with this arrangement:

  • Koushal (3rd pos) is second right of Gopal (1st pos)? Yes (1 → 2 → 3).
  • Prem (5th pos) is fourth right of Gopal (1st pos)? Yes (1 → 2 → 3 → 4 → 5).
  • Bhanu (2nd pos) is a neighbour of Koushal (3rd pos)? Yes.
  • Bhanu (2nd pos) is not a neighbour of Charan (4th pos)? Yes (Bhanu's neighbours are Gopal and Koushal).
  • Prem (5th pos) is a neighbour of Charan (4th pos)? Yes.
  • Dilip (6th pos) is between Prem (5th pos) and Aravind (7th pos)? Yes, in the sequence P-D-A.

  All clues are satisfied with this arrangement.

• Possibility 2: Charan is at the 5th right of Gopal.

  Arrangement so far: G → ? → K → ? → P → C → ?

  Prem is at 4th right. Charan is at 5th right. This fits "Prem is a neighbour of Charan".

  Koushal's neighbours are at 1st right and 3rd right. Bhanu is one of these. So Bhanu is at 1st right or 3rd right. Bhanu is not Charan's neighbour. Charan's neighbours are Prem (4th right) and the person at 6th right. Bhanu is not at 4th right or 6th right, so this condition is satisfied.

  Remaining friends: Dilip and Aravind. Remaining positions: 1st right (or 3rd right) and 6th right (and 3rd right or 1st right).

  The sequence Dilip is between Prem and Aravind must fit. P is at 4th right. C is at 5th right. P's other neighbour is at 3rd right. C's other neighbour is at 6th right. For D to be between P and A, they must occupy adjacent spots. If P-D-A sequence, P(4), D must be at 5, A at 6. But C is at 5. If A-D-P sequence, P(4), D must be at 3, A at 2 (wrapping around). But K is at 2nd right (pos 3 clockwise from G). Let's number positions clockwise from G=1: K=3, P=5. If C=6, then P(5) neighbour C(6). P's other neighbour is position 4. C's other neighbour is position 7 (which is 1st anti-clockwise from G). So the sequence P-D-A needs to be in adjacent spots. P is at 5. Could it be P(5)-D(4)-A(3)? K is at 3. No. Could it be P(5)-D(6)-A(7)? Yes, spots 5, 6, 7 are P, C, A. D cannot be at 6 as C is there. The sequence P-D-A must occupy 3 adjacent spots starting from or ending at P. P is at 5. The spots are 5, 6, 7 or 5, 4, 3. If C is at 6, spots 6 and 7 are available for D and A or A and D (along with another spot). If P-D-A is 5-?-? then the seats must be adjacent. So 5, 6, 7 or 5, 4, 3. If 5,6,7: P(5), C(6), ?(7). Dilip cannot be between Prem and Aravind here if C is at 6. If 5,4,3: P(5), ?(4), ?(3). K is at 3. This second possibility leads to contradictions when placing Dilip and Aravind.

Therefore, the correct arrangement is:

Visualizing the circle (clockwise): G → B → K → C → P → D → A → G

Answering the Question: Who sits fourth to the left of Gopal?

We need to find the person sitting fourth position when moving anti-clockwise from Gopal.

• Gopal is the starting point.
• 1st to the left of Gopal is Aravind.
• 2nd to the left of Gopal is Dilip.
• 3rd to the left of Gopal is Prem.
• 4th to the left of Gopal is Charan.

Thus, Charan sits fourth to the left of Gopal in this circular seating arrangement.

Revision Table: Circular Seating Arrangement

Additional Information on Seating Arrangement Logic

Seating arrangement problems test your ability to follow instructions and use logical deduction. Here are some key points:

• Direction: Always pay close attention to whether the arrangement is linear or circular, and whether people are facing the centre or away from the centre (or mixed). This determines the direction of 'right' and 'left'.
• Relative Positions: Clues often give positions relative to another person (e.g., "X is second to the right of Y").
• Neighbours: "Neighbour" always refers to the two people immediately adjacent on either side in the arrangement.
• "Between": In a circular arrangement, "X is between Y and Z" usually means they appear in the order Y, X, Z (or Z, X, Y) consecutively around the circle.
• Visual Aid: Drawing a diagram (a circle with slots) is highly recommended for circular arrangement problems to visualize the placement of individuals.
• Deduction: Start with the most concrete clues (fixed positions or relations) and use them to deduce other positions. Eliminate possibilities that contradict the clues.

Solving these puzzles requires careful reading and systematic application of each piece of information provided.