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Question

Eight friends A, B, C, D, E, F, H and G are sitting around a circular table facing each other for a group discussion. A is opposite F and second to the right of E. G is between C and A. H is to the left of E. Who is sitting to the immediate left of A?

The correct answer is

Either B or D

Circular Table Seating Arrangement Solution

This problem requires determining the seating position of friends around a circular table based on given clues.

Clue Analysis

  • Eight friends (A, B, C, D, E, F, H, G) are seated around a circular table, facing inwards.
  • Condition 1: A is opposite F.
  • Condition 2: A is second to the right of E.
  • Condition 3: G is between C and A.
  • Condition 4: H is to the left of E.

Step-by-Step Deduction

Let's represent the circular table positions as 1 through 8 clockwise.

  1. Placement of A and F: If A is placed at position 1, F must be at position 5 (opposite A).
  2. Placement of E and H: Condition 2 states A is second to the right of E. Counting clockwise from E, the second position is A. If A is at 1, E must be at position 7 (E at 7, position 8 is the first right, position 1 is the second right). Condition 4 states H is to the left of E. The position immediately counter-clockwise to E (at 7) is 6. Thus, H is at position 6.
  3. Placement of G and C: Condition 3 states G is between C and A. A is at position 1. The adjacent positions are 8 and 2.
    • If G were at position 8, C would need to be at position 7 (to form C-G-A sequence circularly). However, E is already at position 7. This is invalid.
    • Therefore, G must be at position 2. C must then be at position 3 to satisfy the A-G-C sequence.
    The arrangement so far is: A(1), G(2), C(3), F(5), H(6), E(7).
  4. Remaining Positions and Friends: The empty positions are 4 and 8. The remaining friends are B and D. They must occupy positions 4 and 8.
  5. Identify Person Left of A: The immediate left of A (position 1) is position 8.
  6. Final Determination: Since positions 4 and 8 are occupied by B and D, the person sitting at position 8 (immediate left of A) must be either B or D.

Conclusion

Based on the deduction, the person sitting to the immediate left of A is either B or D.

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Important Questions from Circular Arrangement

  1. P, M, D, A, F, H, R and B are sitting around a circle facing at the centre. R is fourth to the right of A, who is third to the right of P. M is second to the left of H, who is second to the left of P. D is third to the right of B. Which of the following pairs are immediate neighbors of B?

  2. Six people, K, L, M, N, O and P, are sitting on the ground in a hexagonal shape but not necessarily in the same order. K is not sitting next to L or M. N is not sitting next to M or O. L is the neighbour of M. P is in the middle of M and N. What is the correct order of seating positions of the people in clockwise direction?

  3. Six friends, G, H I, J, K and L, are sitting around a circular table, facing towards the centre of the table. H is sitting third to the left of G. L and I are not neighbours of H. K is sitting to the immediate right of I. Who is sitting to the immediate left of L?

  4. Eight friends A, B, C, D, E, F, G and are sitting around a circular table facing each other for a lunch. A is opposite F and third to the right of B. G is between F and D. H is to the left of D. E is between C and A. Who is sitting third to the right of A?

  5. Six friends are sitting at equal distances from each other in a circle and facing the centre of the circle. Diraj is between Pramod and Parthiv. Priyanshu is between Mukund and Laya. Pramod and Mukund are opposite to each other. Laya is to the immediate left of Pramod. Who is sitting to the immediate left of Parthiv?

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