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Seven people, A, B, C, D, E, F and G are sitting in a row, facing north. Only two people sit to the right of C. Only two people sit between D and C. A sits to the immediate right of D. E sits to the immediate left of G. B sits second to the left of A. How many people sit between B and F?
Three
Two
One
Four
Two
Start by placing fixed positions (like C and its right neighbors), then build outwards using immediate neighbors.
Start by placing fixed positions (like C and its right neighbors), then build outwards using immediate neighbors.
Step 1: Position of C
There are 7 seats in a row facing North. Only two people sit to the right of C. Therefore, C must be at the 5th position from the left.
Step 2: Position of D and A
Only two people sit between D and C. Since C is at 5, D must be at position 3. A sits to the immediate right of D, so A is at position 4.
Step 3: Position of B, E, G, and F
B sits second to the left of A (Position 4 - 2 = Position 2). E sits to the immediate left of G (Positions 6 and 7). The remaining person F takes the 1st position.
Step 4: Final Arrangement & Question
The final row from left to right is: F(1), B(2), D(3), A(4), C(5), E(6), G(7). B is at position 2 and F is at position 1. Thus, zero people sit between B and F.
A: One is incorrect as B and F are adjacent at positions 1 and 2. C: Three is incorrect as no three people separate B and F. D: Four is incorrect as there are not enough seats between them.
B is correct because F and B occupy the 1st and 2nd positions respectively in the row, meaning zero people sit between them.
In linear seating puzzles with a fixed number of people, always place anchor points like extremities or specific absolute positions first before filling relative neighbors.