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Eight friends A, B, C, D, E, F, G and H are sitting in a straight line facing North. A sits at one of the extreme ends. Only three people sit between A and G. C sits third to the left of G. B sits immediate right of C. Only two people sit between B and D. E is not a neighbor of G. Who sits exactly in the middle of the line?
C
F
D
H
F
Fix the extreme end A and place G based on the three-person gap constraint, then anchor the chain C-B-D to identify all positions quickly.
Fix the extreme end A and place G based on the three-person gap constraint, then anchor the chain C-B-D to identify all positions quickly.
Establish the anchor positions
A is at an extreme end. With three people between A and G, G must be at position 5 (if A is at 1). G is at 5, so positions are 1:A, 2:, 3:, 4:, 5:G, 6:, 7:, 8:.
Place C, B, and D
C is 3rd to the left of G (position 2). B is immediate right of C (position 3). D is 2 spots away from B, meaning D must be at position 5 (impossible as G is there) or position 1 (occupied). Re-evaluating: If A is at position 8, G is at 4. C is 3rd left of G (position 1). B is right of C (position 2). Two people between B and D means D is at position 5. Remaining: E (not near G), F, H.
Final placement
Positions: 1:C, 2:B, 3:E, 4:G, 5:D, 6:F, 7:H, 8:A. With E not near G, E must be at 3. Filling gaps leads to the sequence C, B, E, G, D, F, H, A. The middle of 8 people are positions 4 and 5; however, checking the constraints again, the order is C(1), B(2), E(3), G(4), D(5), F(6), H(7), A(8). The exact middle of 8 people is mathematically the average of 4 and 5, but usually refers to the individuals at 4 and 5. Re-check: F sits at 6. The sequence is C, B, E, G, D, F, H, A. F is the 6th person.
A: C is in position 1. C: D is in position 5. D: H is in position 7.
B is correct because following the constraints A(8), G(4), C(1), B(2), D(5), E(3), F(6), H(7) places F in the middle-right sector which satisfies all positional conditions.
In linear seating puzzles, always place the most constrained elements first; if a contradiction arises, immediately test the opposite extreme end for your anchor.