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Question

Eight girls A, B, C, D, E, F, G and H are sitting around a circular table facing towards the centre (not necessarily in the same order). A is second to the left of D. D is third to the left of E. C is third to the right of G. G is not the immediate neighbour of E. H is third to the right of B. B is second to the right of G. Who is sitting on the immediate right of F?

The correct answer is
A

Solving the Circular Table Seating Arrangement

This problem involves arranging eight girls (A, B, C, D, E, F, G, H) around a circular table, all facing the center. The goal is to find who sits to the immediate right of F.

Decoding the Seating Clues

We will determine the seating arrangement step-by-step using the provided clues:

  • Clue 1 & 2: 'A is second to the left of D' and 'D is third to the left of E'. Assuming positions are counted clockwise, this establishes a relative order. Let E be at position 1. Then D is 3 positions to the left, placing D at position 6 (1 -> 8 -> 7 -> 6). A is 2 positions to the left of D, placing A at position 4 (6 -> 5 -> 4).

    Current partial arrangement (clockwise): E _ _ A _ D _ _ (Positions 1, 4, 6 are occupied).

  • Clue 6 & 5: 'B is second to the right of G' and 'H is third to the right of B'. This implies the sequence G ... B ... H.
  • Clue 3: 'C is third to the right of G'. This implies the sequence G ... C.
  • Clue 4: 'G is not the immediate neighbour of E'. Since E is at position 1, G cannot be at positions 2 or 8.

Determining the Final Arrangement

The remaining positions are 2, 3, 5, 7, 8. The people to place are B, C, F, G, H. G cannot be at 2 or 8, leaving positions 3, 5, or 7 for G.

  • Test G at position 3: E _ G A _ D _ _. B (2nd right of G) is at 5. H (3rd right of B) is at 8. C (3rd right of G) should be at 6, but D is already there. This is not possible.
  • Test G at position 7: E _ _ A _ D G _. B (2nd right of G) would be at position 1 (7+2=9 mod 8), but E is already there. This is not possible.
  • Test G at position 5: E _ _ A G D _ _.
    • B (2nd right of G) is at position 7 (5+2=7). Arrangement: E _ _ A G D B _.
    • H (3rd right of B) is at position 2 (7+3=10 mod 8). Arrangement: E H _ A G D B _.
    • C (3rd right of G) is at position 8 (5+3=8). Arrangement: E H _ A G D B C.
    The only remaining position is 3, which must be F. The complete clockwise arrangement is: E H F A G D B C.

Check Clue 4: G (at 5) is not adjacent to E (at 1). E's neighbours are H (at 2) and C (at 8). This arrangement is valid.

Identifying the Person to the Right of F

The final confirmed clockwise seating arrangement is:

Position:12345678
Person:EHFAGDBC

F is sitting at position 3.

The person sitting on the immediate right of F is at position 4, which is 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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