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Difficulty: MediumSeating Arrangement

Six students—K, L, M, N, O, and P—are sitting in a straight line facing North.

1. K sits third to the right of N, and neither of them sits at the extreme ends of the line.
2. O sits to the immediate left of P.
3. P does not sit at an extreme end.
4. M sits to the right of K.

Based on the seating arrangement, match the students (Left) with their correct seating position descriptions (Right).

  • Student LSitting exactly at the extreme left end
  • Student NSitting immediately between L and O
  • Student OSitting third to the left of M
  • Student PSitting exactly between O and K

Answer

Student L sits at the extreme left end; Student N sits immediately between L and O; Student O sits third to the left of M; Student P sits exactly between O and K.
Based on the logical deduction of the constraints, the final left-to-right order is exactly: L, N, O, P, K, M. The matching pairs perfectly describe each student's relative placement in this deduced sequence.

Step-by-Step Solution

1
Determine the possible positions for N and K.
N is at position 2 and K is at position 5.
Since K is third to the right of N, the possible position pairs for (N, K) are (1,4), (2,5), and (3,6). The constraints state that neither N nor K sits at the extreme ends (1 and 6). Therefore, they must occupy positions 2 and 5.
2
Determine the position of M.
M is placed at position 6.
M sits to the right of K. Since K is at position 5, the only available seat to the right is position 6.
3
Determine the positions of O and P.
O is at position 3 and P is at position 4.
O is to the immediate left of P, requiring two adjacent empty seats. The only adjacent available seats are 3 and 4. Thus, O takes seat 3 and P takes seat 4. This also satisfies the condition that P is not at an extreme end.
4
Determine the final remaining position for L.
L is placed at position 1.
Seat 1 is the only unoccupied position remaining. The complete seating arrangement from left to right is L, N, O, P, K, M.

Key Concept

Deducing exact linear seating arrangements by anchoring fixed distance constraints and eliminating invalid positions.
Estimated Time:2m 0s
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Topics

Seating Arrangement

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