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Seven people, A, B, E, F, P, Q and R are sitting in a row, facing north. Only B sits to the left of A. Only four people sit between B and Q. Only E sits between R and P and R is not an immediate neighbour of Q. Who sits at the extreme right of the row?
R
P
E
F
F
Place B and Q first with 4 people between them, then place A, and finally fit the R-E-P triplet into the remaining gaps.
Place B and Q first with 4 people between them, then place A, and finally fit the R-E-P triplet into the remaining gaps.
Establish the fixed constraints
There are 7 positions. 'Only four people sit between B and Q' implies two possible setups: Q _ _ _ _ B _ or _ Q _ _ _ _ B. 'Only B sits to the left of A' means A must be at the extreme right (position 7), and B must be in position 6. This confirms the order: Q _ _ _ _ B A.
Place the remaining members
We have positions 2, 3, 4, 5 open for R, E, P, F. We are told 'Only E sits between R and P', forming a block R-E-P. This block needs 3 consecutive spots. Placing it in 2-3-4 leaves 5 for F. The final sequence is Q, R, E, P, F, B, A. Since R is not a neighbor of Q in one configuration, we check: if Q is 1, R cannot be 2. Wait, the condition is 'R is not an immediate neighbour of Q'. Therefore, the block R-E-P must occupy 3-4-5, leaving position 2 for F. The sequence is Q, F, R, E, P, B, A.
Final identification
In the sequence Q-F-R-E-P-B-A, Q is at position 1 (extreme left) and A is at position 7 (extreme right). Thus, A sits at the extreme right.
A: Incorrect, A sits at the extreme right. B: Incorrect, B sits at position 6. C: Incorrect, Q sits at the extreme left. D is the only correct answer.
D is correct because A is the only person to the right of B, forcing A into the extreme right position.
In row seating puzzles, always identify the 'anchor' (person at the end or fixed position) first to define the boundaries of the row.
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