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Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. A sits fifth from the right end. Only two people sit between E and A. C is an immediate neighbour of G and E. B sits to the immediate right of F. How many people sit between D and B?
Two
Three
Four
One
Four
Fix the anchor point (A) first, then place the block (C-E-G or G-C-E) and the pair (F-B) based on remaining constraints.
Fix the anchor point (A) first, then place the block (C-E-G or G-C-E) and the pair (F-B) based on remaining constraints.
Establish the row and position of A
Total 7 people. A is 5th from the right, so A sits at position 3 from the left (7 - 5 + 1 = 3). The sequence: _ _ A _ _ _ _.
Place E using the gap condition
Only two people sit between E and A. If A is at 3, E must be at position 6 (3 + 3 = 6). Current sequence: _ _ A _ _ E _.
Place C and G
C is an immediate neighbour of G and E. Since E is at 6, C must be at 5, and G must be at 4 (to keep C adjacent to both). Current sequence: _ _ A G C E _.
Place F and B
B sits to the immediate right of F. The only two empty consecutive slots are 1 and 2. Thus, F is at 1 and B is at 2. The final arrangement is F, B, A, G, C, E, D.
A: Two people sit between D (pos 7) and B (pos 2), which is 4 people. B: Three is incorrect based on the calculated gap. D: One is incorrect as it does not match the arrangement.
C is correct because the final arrangement F-B-A-G-C-E-D places B at position 2 and D at position 7, leaving four people (A, G, C, E) between them.
In row arrangements, always calculate the absolute position from the left end (Position = Total - Given_Right_Pos + 1) to avoid indexing errors.
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