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Question

Six students are sitting around a circular table facing the centre. F is an immediate neighbour of A. D sits second to the right of E. B is an immediate neighbour of E and sits second to the right of C. F sits second to the right of D. A is not an immediate neighbour of E. Who sit between E and A from the right of A?

The correct answer is
F and C

Arrangement Logic for Six Students

We need to determine the seating arrangement of six students (A, B, C, D, E, F) around a circular table based on the given clues.

  • Clue 1: D sits second to the right of E.
  • Clue 2: F sits second to the right of D.
  • Clue 3: F is an immediate neighbour of A.
  • Clue 4: A is not an immediate neighbour of E.
  • Clue 5: B is an immediate neighbour of E.
  • Clue 6: B sits second to the right of C.

Step-by-Step Seating Determination

Let's place the students step-by-step, assuming clockwise direction for "right":

  1. From Clue 1 (D second to right of E) and Clue 2 (F second to right of D), we can establish a partial sequence: E, _, D, _, F, _.
  2. From Clue 3 (F is neighbor of A), A must be in the position immediately to the left or right of F.
  3. From Clue 4 (A is not neighbor of E), A cannot be in the position immediately to the left of E. Combining this with the sequence from Step 1, A must be between D and F. The sequence becomes: E, _, D, A, F, _.
  4. The remaining students are B and C, and the remaining seats are between E and D, and between F and E.
  5. From Clue 5 (B is neighbor of E), B must be in one of the seats adjacent to E.
  6. From Clue 6 (B sits second to the right of C). Let's test the two possibilities for B:
    • If B is placed between E and D, the arrangement is E, B, D, A, F, _. C must be in the last seat. The arrangement is E, B, D, A, F, C. Let's check Clue 6: Is B (pos 2) second to the right of C (pos 6)? Yes. This arrangement fits all clues.
    • If B is placed between F and E, the arrangement is E, _, D, A, F, B. C must be between E and D. The arrangement is E, C, D, A, F, B. Let's check Clue 6: Is B (pos 6) second to the right of C (pos 2)? Yes. However, this contradicts Clue 5 (B is neighbor of E). In E, C, D, A, F, B, B is not a neighbor of E. So this possibility is invalid.
  7. The confirmed clockwise arrangement is: E, B, D, A, F, C.

Finding Students Between E and A

The question asks: "Who sit between E and A from the right of A?"

  • Find A in the arrangement: E, B, D, A, F, C.
  • Consider the direction "from the right of A" (clockwise).
  • The sequence moving clockwise from A is: A, F, C, E, B, D.
  • We need to identify the students sitting between E and A in this clockwise direction.
  • Following the sequence A, F, C, E..., the students between A and E are F and C.

Therefore, F and C sit between E and A from the right of A.

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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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