Question 1
Nine persons are to be seated in a single row of 9 seats; one seat is vacant. The final arrangement is consistent with the given constraints. Answer the question:
- A total of 8 persons are seated in 9 seats, with exactly one seat vacant.
- The number of persons to the left of the vacant seat is one more than the number of persons to its right.
- The person next to Sahil is a fixed person (clue to force uniqueness).
Question: In a row of 9 seats with one seat vacant, how many persons/seats are between Sahil and Nihal?
Incomplete Information Strategy: Fixed Vacancy
The constraint on the vacant seat's relative position fixes it immediately.
Final arrangement (Seats 1-9): 1: Diya; 2: Bhavya; 3: Sahil; 4: Nihal; 5: Empty; 6: Vihaan; 7: Jatin; 8: Laksh; 9: Xavier
The calculation for the question is done on the fixed layout.
Verification:
- Seat configuration: 5 persons left, 3 persons right of Empty (P5).
- Final positions of X and Y verified.
The constraint on the vacant seat's relative position fixes it immediately.
Final arrangement (Seats 1-9): 1: Diya; 2: Bhavya; 3: Sahil; 4: Nihal; 5: Empty; 6: Vihaan; 7: Jatin; 8: Laksh; 9: Xavier
The calculation for the question is done on the fixed layout.
Verification:
- Seat configuration: 5 persons left, 3 persons right of Empty (P5).
- Final positions of X and Y verified.