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Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. B sits third from the right end. Only one person sits to the left of D. F sits to the right of B but left of G. E is an immediate neighbour of C and D. How many people sit between A and G?
Three
Five
Two
Four
Five
Arrange the fixed positions first (B and D), then place the relative groups (E, C) and (F, G) to fill the empty seats.
Arrange the fixed positions first (B and D), then place the relative groups (E, C) and (F, G) to fill the empty seats.
Establish the row and fixed positions
There are 7 seats. B is 3rd from the right end, so B is at position 5 (1_2_3_4_B_6_7). D has one person to his left, so D is at position 2 ( _ D _ _ B _ _).
Place the E-C group
E is an immediate neighbour of C and D. Since D is at 2, E must be at 3 and C at 4 ( _ DECB _ _).
Final placement
F sits to the right of B but left of G. With positions 6 and 7 remaining, F must be at 6 and G at 7. The remaining person A is at 1. Final order: A, D, E, C, B, F, G.
Calculate people between A and G
A is at 1 and G is at 7. The people sitting between them are at positions 2, 3, 4, 5, and 6, which are D, E, C, B, and F. There are 5 people.
A: Represents 3, which is incorrect as there are 5 people between A and G. C: Represents 2, which is incorrect. D: Represents 4, which is incorrect.
B is correct because the final arrangement is A, D, E, C, B, F, G, resulting in 5 people (D, E, C, B, F) between A and G.
In seating arrangement questions, always mark the positions (1-7) first to avoid confusion when placing elements relative to the ends.
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