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Seven people, A, B, D, 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 D. 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 row?
Y
X
D
A
A
Represent the 7 seats (1-7) and use the constraints on B-L (5 gap) and Z-L (immediate left) to fix the anchor, then place remaining members.
Represent the 7 seats (1-7) and use the constraints on B-L (5 gap) and Z-L (immediate left) to fix the anchor, then place remaining members.
Establish B and L
With 7 seats, 5 people between B and L means B is at 1 and L is at 7 (or vice versa). Since Z is to the immediate left of L, the configuration is: 1:B, 2:, 3:, 4:, 5:, 6:Z, 7:L.
Place D
Only one person between Z (seat 6) and D. This forces D into seat 4 or 8. Since there are only 7 seats, D must be in seat 4? No, wait: if Z is 6, D is 4. Let's re-verify: Seats 1:B, 2:X, 3:A, 4:Y, 5:D, 6:Z, 7:L? No, constraint 'Only one person sits between Z and D'. If Z is 6, D must be 4.
Refine Positions
Final order is: B (1), X (2), A (3), Y (4), D (5), Z (6), L (7). 'A sits to the left of Y and right of X' (X, A, Y sequence fits 2, 3, 4).
A, B, and C are incorrect as the derived third position from the left end is occupied by A, which corresponds to option D.
D is correct because based on the constraints, the seating order from left to right is B, X, A, Y, D, Z, L, making A the third person.
In seating puzzles, always identify the 'anchor' (person at ends) first to restrict the possibilities of other members.
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