Solving Circular Seating Arrangement Puzzles

This question involves a classic logical reasoning problem: a circular seating arrangement. We have six girls (D, K, M, P, R, and S) sitting around a circular table, all facing the centre. To solve this, we need to carefully follow each clue and build the arrangement step by step.

Let's break down the given information:

• Six girls: D, K, M, P, R, S.
• Arrangement is around a circular table, all facing the centre.

Now, let's analyze the clues one by one to determine their relative positions:

1. S is sitting third to the left of R.

   In a circle facing the centre, 'left' is typically anti-clockwise. So, starting from R and moving anti-clockwise, the first person is immediately left, the second is second left, and the third person is S.

2. P is sitting to the immediate right of R.

   'Immediate right' is typically clockwise in a circle facing the centre. So, P is right next to R in the clockwise direction.

3. P is sitting... to the immediate left of D.

   This means D is immediately to the right of P (clockwise). So, the arrangement around P is D immediately after P (clockwise) and R immediately before P (anti-clockwise).

4. M is sitting to the immediate left of R.

   'Immediate left' is anti-clockwise. So, M is right next to R in the anti-clockwise direction.

5. K is sitting to the immediate right of S.

   K is right next to S in the clockwise direction.

6. K is sitting... to the immediate left of M.

   K is right next to M in the anti-clockwise direction. This also means M is immediately to the right of K (clockwise).

Step-by-Step Deduction of the Seating Arrangement

Let's combine these clues. We can start by placing R and building outwards:

• From clue 2, P is immediately right of R: ... R → P ... (clockwise)
• From clue 4, M is immediately left of R: ... M ← R ... (anti-clockwise)
• Combining these around R, we get: M — R — P (where — indicates adjacency in the respective direction). In clockwise order around R, we have M, R, P.
• From clue 3, P is immediately left of D: ... P ← D ... (anti-clockwise). This means ... P → D ... (clockwise). So, following P clockwise is D. Our arrangement so far (clockwise sequence): M — R — P — D.
• Now consider clue 1: S is third to the left of R (anti-clockwise). From R, the 1st left is M. The 2nd left is someone unknown. The 3rd left is S. So, moving anti-clockwise from R: R ← M ← (unknown) ← S.
• Looking at our partial clockwise arrangement M — R — P — D, we have used M, R, P, D. The remaining girls are K and S. The sequence M — R — P — D occupies 4 seats. With 6 seats total, there are 2 seats left. Since it's a circle, the sequence connects back.
• Let's integrate S. If S is 3rd left of R, and M is 1st left, there's one person between S and M (going anti-clockwise from M to S).
• Consider clues 5 and 6 about K. K is immediate right of S (S → K) and immediate left of M (K ← M, which means M → K). Both clues place K between S and M in the clockwise direction (S — K — M).
• This fits perfectly with the empty spot identified earlier between S and M (anti-clockwise from M to S, or clockwise from S to M). The remaining girl, K, must sit there.

Putting it all together, let's trace the arrangement starting from S and moving clockwise:

1. S
2. Immediate right of S is K (clue 5).
3. Immediate right of K is M (clue 6, M is left of K, so K is right of M - wait, clue 6 says K is left of M, which means M is right of K. Yes, this confirms K-M link).
4. Immediate right of M is R (clue 4, M is left of R, so R is right of M).
5. Immediate right of R is P (clue 2).
6. Immediate right of P is D (clue 3, P is left of D, so D is right of P).
7. Immediate right of D should connect back to S, completing the circle. Does it? Let's check our full clockwise sequence: S — K — M — R — P — D. Yes, D's immediate right is S in a circle.

The final clockwise arrangement around the table is S, K, M, R, P, D.

Finding the Person Third to the Left of D

The question asks for the person sitting at the third position from the left of D. Remember, 'left' means moving anti-clockwise from D.

• Starting from D, move anti-clockwise:
• 1st position to the left of D is P.
• 2nd position to the left of D is R.
• 3rd position to the left of D is M.

So, M is sitting at the third position from the left of D.

Conclusion

Based on the step-by-step deduction of the circular seating arrangement, the person located at the third position to the left of D is M.

The final answer is M.

Revision Table: Circular Seating Arrangements

Additional Information: Logic Puzzles and Seating Arrangement Tips

Seating arrangement questions are common in logical reasoning tests. They require careful reading and systematic deduction. Here are some tips:

• Visualize: Draw a circle or a diagram to represent the table and positions.
• Start with a Fixed Point: If possible, start with a person whose position is linked to multiple other people.
• Use Relative Positions: Note down relationships like "immediate left/right", "second to the left", "between", etc.
• Combine Clues: Look for clues that link individuals already placed in your diagram.
• Handle "AND": If a person is described relative to two others (e.g., "between X and Y"), place them accordingly.
• Check for Contradictions: If you reach a point where a new clue contradicts your current arrangement, review your steps.
• Verify the Final Arrangement: Once you have a complete arrangement, read through all the original clues one last time to ensure they are all satisfied.
• Answer the Specific Question: Make sure you answer exactly what is asked, not just deduce the arrangement. Pay attention to direction (left/right) and the reference person.

Practice with different types of seating arrangements (linear, rectangular, circular) and conditions (facing centre, facing out, facing mixed directions) to improve your problem-solving speed and accuracy.