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Seven people, A, B, C, L, X, Y and Z are sitting in a row, facing north. Only five people sit between B and L. Z sits to the immediate left of L. Only one person sits between Z and C. A sits at some place to the left of Y but at some place to the right of X. Who sits third from the left end of the line?
A
Y
C
Z
A
Fix the anchor point (B and L with 5 people between) to determine the ends of the row immediately, then place other letters relative to L.
Fix the anchor point (B and L with 5 people between) to determine the ends of the row immediately, then place other letters relative to L.
Establish the row limits
There are 7 people and 5 people sit between B and L. This means B and L must occupy the two ends of the row (positions 1 and 7). Two cases: B(1)...L(7) or L(1)...B(7).
Place Z and C
Z sits to the immediate left of L. If L is at 7, Z is at 6. If L is at 1, Z cannot have an immediate left. Thus, L=7, B=1, Z=6. Since only one person sits between Z(6) and C, C must be at position 4.
Place X, A, and Y
Remaining spots are 2, 3, and 5. The constraint 'A sits to the left of Y but to the right of X' implies the sequence X-A-Y. Filling the vacant spots 2, 3, and 5 with X, A, Y respectively gives the final order: B(1), X(2), A(3), C(4), Y(5), Z(6), L(7).
B: False, X sits in the second position. C: False, C sits in the fourth position. D: False, Y sits in the fifth position.
A is correct because the final arrangement from left to right is B, X, A, C, Y, Z, L, where A is in the third position.
In row seating puzzles, always prioritize the fixed anchors (ends of the row) before placing the relative subjects to avoid multiple branching scenarios.
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