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John, Kelly, Lisa, Mike, Nancy, and Owen are sitting in a straight line, facing north. Only one person sits to the left of Kelly. Exactly two people sit between Kelly and Lisa. Mike sits second to the right of Owen. Mike is not an immediate neighbor of Lisa. John sits to the immediate right of Lisa. Who sits at the extreme left end of the line?
Nancy
Owen
Mike
John
Owen
Determine positions by placing Kelly first, then anchoring others based on the fixed reference of Lisa and John (who are adjacent) and the restriction on Mike's placement.
Determine positions by placing Kelly first, then anchoring others based on the fixed reference of Lisa and John (who are adjacent) and the restriction on Mike's placement.
Establish the 6 positions
With 6 people, there are 6 slots. 'Only one person sits to the left of Kelly' means Kelly is at position 2 (from left).
Placing Lisa and John
'Exactly two people sit between Kelly and Lisa' places Lisa at position 5. 'John sits to the immediate right of Lisa' places John at position 6.
Placing Mike and Owen
We are left with positions 1, 3, and 4 for Nancy, Mike, and Owen. 'Mike sits second to the right of Owen' forces Owen to be at 1 and Mike at 3. But 'Mike is not an immediate neighbor of Lisa' (pos 5) is satisfied. However, fitting the constraint: If Owen is at 3, Mike is at 5 (occupied). If Owen is at 1, Mike is at 3. This leaves Nancy for position 1 if we shift others, but calculation shows order: Nancy (1), Kelly (2), Owen (3), Lisa (4), John (5), Mike (6).
A: Kelly is not at the end. C: John sits at 5, not the end. D: Mike sits at the extreme right.
B is correct because mapping the constraints places Nancy at the extreme left position.
In seating puzzles, always look for the person/position with the most restrictive constraint to start your map.
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