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A, B, E, F, P, Q and R are sitting around a circular table facing the centre. A sits second to the right of B. Only one person sits between B and E. R sits to the immediate right of F. P is not an immediate neighbour of E. Who sits third to the left of Q?
P
R
A
F
F
Place the most constrained items first (B and A) then fix the neighbors E and F to build the remaining circular flow.
Place the most constrained items first (B and A) then fix the neighbors E and F to build the remaining circular flow.
Establish the initial positions
Place B at the bottom (position 1). Since A sits second to the right of B, A is at position 3 (going counter-clockwise for right in a circle). There is only one person between B and E, so E can be at position 7 or 3. Since A is at 3, E must be at position 7.
Placement of F, R and P
R sits to the immediate right of F. F and R must be in consecutive empty seats. Available slots are 2, 4, 5, 6. If F is at 4, R is at 5. Since P is not a neighbor of E (E is at 7), P cannot be at 6. Thus P must be at 2. This leaves Q for the remaining position 6.
Determine position relative to Q
With P at 2, B at 1, A at 3, F at 4, R at 5, Q at 6, and E at 7: counting third to the left of Q (6) in a clockwise direction (left): 5(R), 4(F), 3(A). Thus, A sits third to the left of Q.
A: Represents E which is incorrect; B: Represents F which is incorrect; C: Represents R which is incorrect; D is correct because logic dictates A is third to the left of Q.
D is correct because based on the circular seating arrangement, A occupies the position exactly third to the left of Q.
In circular puzzles, always define 'left' and 'right' relative to the center immediately to avoid confusion during rapid solve.
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