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Six students are sitting around a circular table facing the centre. L is an immediate neighbour of both J and H. I is sitting second to the left of J. K is sitting third to the right of H. G is an immediate neighbour of both I and H. The position of how many persons will remain unchanged if all persons are arranged in English alphabetical order in clockwise direction, starting from G (including G)?
One
Two
Three
Four
Four
Fix the reference person (H) first, place K, then determine G, I, J, and L using immediate neighbour rules in a clockwise circular layout.
Fix the reference person (H) first, place K, then determine G, I, J, and L using immediate neighbour rules in a clockwise circular layout.
Step 1: Place H and K
Six persons are sitting around a circular table facing the centre. Let H be at position 1. K is sitting third to the right of H, which places K at position 4 (diametrically opposite to H).
Step 2: Place G, I, J, and L
G is an immediate neighbour of both I and H, meaning G is at position 2 (between H and I). I is sitting second to the left of J. L is an immediate neighbour of both J and H. Following these constraints, the seating arrangement in clockwise order starting from H is: H, G, I, J, L, K.
Step 3: Compare with Alphabetical Order
Arranging all persons in English alphabetical order in a clockwise direction starting from G: G, H, I, J, K, L. Comparing original positions with the alphabetical positions: G is at position 2 in both, H is at position 1 in both, I is at position 3 in both, and J is at position 4 in both. K and L changed positions.
A: One is incorrect because four persons remain unchanged. B: Two is incorrect because four persons remain unchanged. C: Three is incorrect because four persons remain unchanged.
D is correct because exactly four persons (G, H, I, and J) retain their exact relative positions when arranged in English alphabetical order clockwise starting from G.
When comparing alphabetical arrangements with original puzzle arrangements, always map both arrangements to a linear clock-face or 1-to-6 index to instantly spot matching positions.