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Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only three people sit to the right of A. B sits second from the left end. F is an immediate neighbour of C and G. D sits second to the left of C. How many people sit between E and D?
Three
Four
One
Two
One
Start by placing the fixed points: B is at position 2, and A is at position 4 (because 3 people sit to the right of A). Then fill the gaps using the C-F-G triplet.
Start by placing the fixed points: B is at position 2, and A is at position 4 (because 3 people sit to the right of A). Then fill the gaps using the C-F-G triplet.
Establish the row positions
There are 7 positions (1 to 7 from left to right). B is 2nd from left (pos 2). A has 3 people to his right, so A is at position 4 (1-2-3-A-5-6-7, where 5, 6, 7 are to the right).
Place the C, F, G, and D cluster
F is a neighbor of C and G (order C-F-G or G-F-C). D is 2nd to the left of C. If C is at 7, D is at 5. If C is at 6, D is at 4 (occupied by A). If C is at 5, D is at 3. Trying C=7, D=5, and F=6, G=5 (impossible as G and D overlap). Trying C=5, D=3, F=6, G=7. The arrangement is: 1:E, 2:B, 3:D, 4:A, 5:C, 6:F, 7:G.
Calculate the gap between E and D
With the arrangement [E, B, D, A, C, F, G], E is at position 1 and D is at position 3. The person between them is B. Thus, there is exactly one person between E and D.
A is wrong as there is only one person between E and D; B is wrong as 3 is incorrect; D is wrong as 4 is incorrect.
C is correct because the seating arrangement [E, B, D, A, C, F, G] confirms that only one person (B) sits between E and D.
In row seating puzzles, always prioritize fixed positions (like 'second from left') and relative blocks (like 'F neighbor of C and G') to build the chain before filling empty slots.
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