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Seven people, B, C, D, E, F, G, and K, are sitting in a straight line, facing north. Only two people sit between D and G. Only E sits to the right of K. Only one person sits between G and K. C sits at some place to the right of B but at some place to the left of F. Who sits third from the right end of the line?
F
C
G
B
F
Fix the positions of K and E first since their relative location is strictly constrained, then place G and D.
Fix the positions of K and E first since their relative location is strictly constrained, then place G and D.
Analyze positions of K and E
There are 7 people facing north. 'Only E sits to the right of K' means E is at the extreme right end (Position 7), and K is immediately to the left of E (Position 6).
Position G and D
'Only one person sits between G and K' means G must be at Position 4 (since K is at 6). 'Only two people sit between D and G' means D must be at Position 1.
Arrange B, C, and F
The remaining positions are 2, 3, and 5. 'C sits at some place to the right of B but to the left of F' means the order from left to right must be B, C, F. Thus, B is at 2, C is at 3, and F is at 5. The complete line from left to right is: D, B, C, G, F, K, E.
Determine third from the right end
Counting from the right end (Position 7): 1st from right is E, 2nd from right is K, 3rd from right is F.
B: C is third from left, not right. C: G is second from left. D: K is second from right.
A is correct because F is sitting at the fifth position from the left, which makes it the third person from the right end in the 7-person row.
Always start linear seating arrangement puzzles by locking down the extreme ends or absolute positions given by 'only' or 'extreme end' clues.
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