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Five engineers A, B, C, D, and E are sitting in a row facing north. C is sitting between A and E. B is to the immediate right of E. D is to the immediate left of A. Who is sitting in the middle of the row?
A
E
C
B
C
Identify the core block first: since C is between A and E, the unit is (A-C-E) or (E-C-A). Adding the constraints D-A and E-B fixes the order to D-A-C-E-B.
Identify the core block first: since C is between A and E, the unit is (A-C-E) or (E-C-A). Adding the constraints D-A and E-B fixes the order to D-A-C-E-B.
Establish the Core Block
C is sitting between A and E. This gives us two possible initial arrangements: (A, C, E) or (E, C, A).
Incorporate D and B
D is to the immediate left of A, making it (D, A, C, E). B is to the immediate right of E, extending the sequence to (D, A, C, E, B).
Verify the Middle Position
In the sequence D, A, C, E, B, there are five positions. The first is D, second is A, third is C, fourth is E, and fifth is B. Therefore, C is at the center.
A: A is at the second position, not the middle. B: B is at the extreme right, not the middle. D: D is at the extreme left, not the middle.
C is correct because placing the conditions in order (D-A-C-E-B) places C exactly in the third position out of five.
In linear seating puzzles, always look for the person mentioned in multiple clues first as an anchor, then build outward.
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