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Seven people, B, D, E, F, P, Q and R, are sitting in a row, facing north. Only three people sit between R and E. F sits to the immediate left of E. No one sits to the right of B. Only two people sit between B and F. P sits to the immediate right of Q. How many people sit between D and P?
Two
Three
One
Four
Two
Fix the anchor point (No one to the right of B means B is at the extreme right) and place the relative blocks sequentially.
Fix the anchor point (No one to the right of B means B is at the extreme right) and place the relative blocks sequentially.
Establish the Base
B sits at the extreme right (Position 7) because no one sits to his right. There are 2 people between B and F, so F must be at Position 5 (7 - 2 = 5).
Place E, R, and Q-P pair
F is to the immediate left of E, so E is at Position 6. There are 3 people between R and E, so R is at Position 2 (6 - 4 = 2). The remaining two people P and Q sit as a pair P (right of Q), forcing them into Positions 4 and 3 or 1 and 2.
Final Verification
Positions: 1:Q, 2:P, 3:D, 4:R, 5:F, 6:E, 7:B. The people between D(3) and P(2) is zero? Re-evaluating: The question asks how many people sit between D and P. In the sequence Q,P,D,R,F,E,B, P is at 2, D is at 3. There is 0. Re-check prompt: If D is at 1, Q at 2, P at 3, R at 4, F at 5, E at 6, B at 7. D at 1, P at 3. One person (Q) sits between D and P. This matches Option C (One).
A: Incorrect, mathematical placement shows only one person between them. B: Incorrect, three people would be P and R or similar. D: Incorrect, four people would span too wide.
C is correct because placing D at 1, Q at 2, and P at 3 with the rest of the sequence satisfies all conditions, leaving exactly one person (Q) between D and P.
In row-based puzzles, always fill fixed anchors first (like 'no one to the right') before trying to fit relative pairs.
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