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Seven people, A, B, E, F, P, Q and R, are sitting in a row, facing north. Only two people sit between A and E. Only P sits to the right of Q. Only one person sits between E and Q. R sits at some place to the right of B but at some place to the left of F. Who sits third from the right end of the row?
E
F
B
R
F
Determine the relative order of fixed points first (A, E, Q, P) and then fit the remaining chain (B-R-F) into the empty slots.
Determine the relative order of fixed points first (A, E, Q, P) and then fit the remaining chain (B-R-F) into the empty slots.
Establish the initial skeleton
From 'Only two people sit between A and E' and 'Only one person sits between E and Q', we get two main possibilities for the A-E-Q arrangement. Also, 'P sits to the right of Q' and 'Only one P sits to the right of Q' implies Q is the second person from the right (position 6). If Q is at position 6, then E must be at position 4 (one person between E and Q). If E is at 4, A must be at 1 (two people between A and 4). So far: A, _, _, E, _, Q, _.
Place the remaining members
Remaining spots are 2, 3, 5, 7. We have the constraint: 'R sits to the right of B but to the left of F'. This means the relative order is B - R - F. Placing these in positions 2, 3, 5, 7 gives: B(2), R(3), E(4), P(5), Q(6), F(7). A occupies position 1. Order: A, B, R, E, P, Q, F.
Identify the target
The order is A(1), B(2), R(3), E(4), P(5), Q(6), F(7). The row is facing north. The right end is position 7 (F). Counting from the right: 1st is F(7), 2nd is Q(6), 3rd is P(5).
A: Represents position 1, which is the left end, not 3rd from right. C: Represents position 3, which is occupied by R, not 3rd from right. D: Represents position 4, which is E, not 3rd from right.
B is correct because the final arrangement is A-B-R-E-P-Q-F, and counting from the right end, the 3rd person is P.
In row seating puzzles, always place the anchor elements (those with fixed gaps like '2 between X and Y') first, then map out the remaining entities as a single relative sequence.
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