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Six people, A, B, C, D, E and F are sitting in a straight line, facing north. Only three people sit to the left of E. B sits second to the right of E. Only three people sit between A and C. C sits immediately left of D. How many people sit between D and F?
Two
One
None
Three
None
Fix the position of E first using the left-count clue, then place B, and finally deduce C, D, A, and F using neighbor clues.
Fix the position of E first using the left-count clue, then place B, and finally deduce C, D, A, and F using neighbor clues.
Step 1: Position E and B
There are six seats in a straight line facing North. 'Only three people sit to the left of E' means E is in the 4th position from the left. 'B sits second to the right of E' means B sits in the 6th position (extreme right).
Step 2: Position C, D and A
'C sits immediately left of D'. Since E is at 4 and B is at 6, the available empty seats are 1, 2, and 3. The only consecutive pair of seats available is 2 and 3, so C is at 2 and D is at 3. 'Only three people sit between A and C', which means A must be at position 1 (leaving 3 people: C, D, E between A and B).
Step 3: Place F and Count Between D and F
The remaining person F takes the remaining 5th seat. The final arrangement from left to right is: A, C, D, E, F, B. D is at position 3 and F is at position 5. Exactly 1 person (E) sits between D and F.
A) Two is incorrect as only one person sits between D and F. B) One is correct. C) None is incorrect. D) Three is incorrect.
B is correct because in the final seating arrangement (A, C, D, E, F, B), E is seated between D and F, meaning exactly one person sits between them.
In linear seating puzzles, always lock down absolute positions of anchor entities (like E and B) before placing neighboring pairs.
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