Question

Difficulty: MediumSeating Arrangement

Six friends—J, K, L, M, N, and O—are seated around a circular table facing the center. Each has a different profession: Chef, Doctor, Engineer, Lawyer, Pilot, and Teacher. The seating arrangement follows these conditions:

- The Doctor sits second to the left of M.
- K is an Engineer and sits immediately to the right of M.
- The Pilot sits exactly between J and the Lawyer.
- N sits exactly opposite the Teacher.
- O sits adjacent to the Doctor.
- The Chef sits immediately to the left of the Teacher.

Based on the given information, which of the following statements is true?

  1. L is the Lawyer and sits exactly opposite O.Answer
  2. B
    The Pilot sits exactly between M and the Lawyer.
  3. C
    J is the Doctor and sits second to the right of the Teacher.
  4. D
    N is the Pilot and sits second to the left of the Engineer.

Answer

The statement declaring that L is the Lawyer and sits exactly opposite O is true.
After deducing the full arrangement, O is identified as the Chef sitting at Seat 2, and L is identified as the Lawyer sitting at Seat 5. In an evenly spaced 6-seat circular arrangement, Seat 2 and Seat 5 are exactly opposite each other.

Step-by-Step Solution

1
Establish a reference point by placing M at the top (Seat 1).
M is at Seat 1. Facing the center means left is clockwise and right is counter-clockwise.
Setting a fixed starting point makes relative positioning easier in circular arrangements.
2
Apply the relative positioning clues for M.
The Doctor is second to the left (clockwise), so Seat 3 is the Doctor. K is the Engineer and is immediately to the right (counter-clockwise), so Seat 6 is K (Engineer).
These are direct spatial deductions based on M's position.
3
Determine the Teacher's position using the remaining clues.
The Chef is immediately to the left of the Teacher. If the Teacher were anywhere other than Seat 1, it would conflict with already placed people or leave no valid opposite seat for N. Thus, M is the Teacher (Seat 1), and the Chef is at Seat 2.
Testing all alternative positions for the Teacher systematically eliminates them.
4
Place N and O based on their specific constraints.
N is opposite the Teacher (Seat 1), placing N at Seat 4. O is adjacent to the Doctor (Seat 3). With Seat 4 occupied by N, O must be at Seat 2. Therefore, O is the Chef.
Direct placement logic based on open seats.
5
Place the Pilot, Lawyer, and J using the sequence constraint.
The Pilot sits exactly between J and the Lawyer. The only three available consecutive seats are 3, 4, and 5. Since Seat 3 is the Doctor (J), Seat 4 must be the Pilot (N), and Seat 5 must be the Lawyer.
Consecutive seating constraints can only fit into uninterrupted blocks of available seats.
6
Identify the final person and verify the options.
L is the only remaining person, so L sits at Seat 5 and is the Lawyer. The arrangement is: 1:M(Teacher), 2:O(Chef), 3:J(Doctor), 4:N(Pilot), 5:L(Lawyer), 6:K(Engineer).
Completing the puzzle allows for the evaluation of all statements.

Key Concept

Logical deductions based on left/right orientation in circular seating arrangements.
Rate this question