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Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. No one sits to the right of A. Only four people sit between D and B. E sits second to the right of D. C sits to the immediate left of F. How many people sit between G and B?
Four
Two
One
Three
Three
Identify the extreme ends first: 'No one to the right of A' means A is at the far right. Use the gap constraint for D and B to fix their positions and build outward.
Identify the extreme ends first: 'No one to the right of A' means A is at the far right. Use the gap constraint for D and B to fix their positions and build outward.
Establish the row and position of A
There are 7 seats. Since no one sits to the right of A, A must be in the 7th position (rightmost end).
Place D, B, and E
There are 4 people between D and B. If D is at 1, B is at 6. E is second to the right of D, so E is at 3. The arrangement currently looks like: D, _, E, _, _, B, A.
Place C, F, and G
C sits to the immediate left of F. The only adjacent empty spots are 4 and 5. Thus, F is at 5 and C is at 4. The only remaining spot is 2, which must be occupied by G. The final arrangement is: D, G, E, C, F, B, A.
Calculate distance between G and B
G is at position 2 and B is at position 6. The people between them are E(3), C(4), and F(5). There are 3 people between G and B.
A: Incorrect, 'Four' is wrong as there are 3 people. B: Incorrect, 'Two' is wrong. C: Incorrect, 'One' is wrong. D: Correct, there are exactly 'Three' people between G and B.
D is correct because based on the determined sequence (D, G, E, C, F, B, A), there are exactly three people (E, C, and F) sitting between G and B.
In row seating puzzles, always prioritize the most restrictive constraint (e.g., 'no one to the right') to anchor one end of the row immediately.
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