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Seven people H, I, J, K, L, M, and N are sitting in a row facing the north. Only two people are seated to the left of L. Only three people are seated between L and H. I is seated second to the right of J. I is not an immediate neighbour of H. K is seated to the immediate right of M. Who is seated at the extreme left end of the row?
N
J
K
H
N
Identify the fixed anchor first (L at 3rd position), map out the gaps relative to H, and use the 'I-J' pair to fill the remaining slots.
Identify the fixed anchor first (L at 3rd position), map out the gaps relative to H, and use the 'I-J' pair to fill the remaining slots.
Establish the base positions
With 7 seats (1 to 7 from left), L has two people to his left, so L is at position 3. Since there are three people between L and H, H must be at position 7 (3+4=7).
Place the J-I pair
I is second to the right of J. Possible J-I slots are (1,3) - blocked by L; (2,4); or (4,6). Since I cannot be next to H (position 7), I cannot be at 6. Thus, J=2 and I=4.
Final placement
Remaining people are K and M, and they must be adjacent (K immediate right of M). Positions 5 and 6 are vacant. So M=5 and K=6. The only person remaining for the empty position 1 is N.
B: J occupies the second seat, not the first. C: K occupies the sixth seat, not the first. D: H is at the extreme right end (position 7), not the left.
A is correct because after placing L at 3, H at 7, J at 2, I at 4, M at 5, and K at 6, only N is left for the first position.
When solving seating puzzles, always fill in the most constrained entities (like 'L' here) first to reduce the search space for the remaining individuals.
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