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Seven people, B, D, E, F, P, Q and R, are sitting in a row, facing north. No one sits to the left of E. Only four people sit between E and R. Only three people sit to the right of D. F sits to the immediate left of B. P is not an immediate neighbour of D. Who sits third to the left of P?
R
D
B
F
D
Fix the anchor point (No one sits left of E) first, then place R using the '4 people between' rule to fix the row length. D's position is then fixed by the '3 to the right' rule.
Fix the anchor point (No one sits left of E) first, then place R using the '4 people between' rule to fix the row length. D's position is then fixed by the '3 to the right' rule.
Establish the base arrangement
No one sits to the left of E, so E is at Position 1. Four people between E and R places R at Position 6? Wait: E(1), _, _, _, _, R(6). Wait, 4 between E and R means E=1, R=6. But there are 7 people. Let's re-verify: E(1), 2, 3, 4, 5, R(6). No, 'four between' means R is 6th position. Let's re-read: Only 3 people to the right of D. This means D is at Position 4 (1-2-3-D-5-6-7). Since P is not next to D, P cannot be at 3 or 5.
Finalizing Positions
Arrangement: E is 1st. R is 6th (to allow 4 between: 2, 3, 4, 5). D is 4th (3 to his right: 5, 6, 7). F and B are together (F immediate left of B). If we place FB at 2,3, then Q and P are at 5, 7. But P is not next to D(4), so P must be 7. Therefore: 1-E, 2-F, 3-B, 4-D, 5-Q, 6-R, 7-P.
Finding the Target
In the sequence E-F-B-D-Q-R-P, the 3rd person to the left of P(7) is D(4). Counting back from 7: 6 is R, 5 is Q, 4 is D.
A: R is 6th, not 4th. C: B is 3rd, not 4th. D: F is 2nd, not 4th.
B is correct because the seating arrangement is E-F-B-D-Q-R-P, and counting three positions to the left of P (7th) leads to D (4th).
In row arrangements, always identify the 'fixed' anchor first (e.g., 'no one to the left') to reduce potential permutations.
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