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Seven people, A, B, C, D, E, F and G are sitting in a row, facing north. Only five people sit between F and D. G sits third to the right of F. E is the immediate neighbour of C and D. B is not the immediate neighbour of G. How many people sit between A and F?
Four
One
Three
Two
One
Fix the position of F and D first using the condition 'only 5 people sit between them', then place G, E, C, and the remaining people iteratively.
Fix the position of F and D first using the condition 'only 5 people sit between them', then place G, E, C, and the remaining people iteratively.
Step 1: Arrange F and D
There are 7 people in a row facing north. Only 5 people sit between F and D, which means F and D occupy the extreme ends (1st and 7th positions).
Step 2: Place G, E, and C
G sits 3rd to the right of F. E is the immediate neighbour of C and D. Since D is at position 7, E must be at position 6 and C at position 5.
Step 3: Place A and B
B is not the immediate neighbour of G (position 4). Thus B must be at position 2, leaving position 3 for A. The complete arrangement from left to right is: F, B, A, G, C, E, D.
Step 4: Answer the Question
A is at position 3 and F is at position 1. Exactly one person (B) sits between A and F.
A: Four is incorrect as there are not enough positions between A and F. C: Three is incorrect as it overcounts positions. D: Two is incorrect because only B sits between A and F.
B is correct because exactly one person (B) sits between A and F in the verified linear seating arrangement.
In linear seating puzzles with end conditions, always fix the anchor people (like F and D with 5 people between them) first before applying neighbour constraints.
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