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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. Seven friends, Subhi, Prince, Ketan, Vishal, Mahima, Krish and Naitik, are sitting around a circular table with their backs towards the centre. Subhi is sitting to the immediate right of Prince. Naitik and Krish are not sitting to the immediate left or right of Vishal. Vishal is sitting third to the left of Prince. Mahima is sitting to the immediate right of Vishal. Who is sitting third to the right of Prince?

  2. Raghav, Manpreet, Sunaina, Prakrit, Vedika and Arwa are sitting around a circular table facing the centre. Raghav is second to the left of Prakrit. Manpreet is to the immediate left of Sunaina. Arwa is second to the right of Vedika. There are an equal number of persons between Raghav and Manpreet from both the ends. Who is sitting third to the left of Sunanina?

  3. Five friends, Vishnu, Chirag, Raina, Kavya and Surbhi, are sitting around a circular table, facing the center. Vishnu is to the immediate right of Kavya. Chirag is third to the left of Kavya. Surbhi is not adjacent to Chirag. Who is second to the left of Kavya?

  4. Six friends, David, Bhanu, Minto, Krita, John and Nisan, are sitting in a circle with their backs towards the centre. David and Minto are sitting to the immediate left and right of Bhanu, respectively. John is not sitting to the immediate left of David. Nisan is sitting third to the right of Bhanu. Who is sitting second to the left of Bhanu?

  5. Eight friends, P, Q, R, S, T, U, V and W, are sitting in the same order anticlockwise around a circular table at equal distance between them, with all centre of the table. If Q is sitting in the south-east, then in which direction is W sitting?

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