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A, B, E, F, P, Q and R are sitting around a circular table facing the centre. A sits to the immediate left of E. Only three people sit between E and Q when counted from the right of E. Only one person sits between B and P when counted from the right of B. F sits to the immediate right of B. How many people sit between R and E when counted from the left of R?
One
Three
Four
Two
Four
Fix the position of one anchor person (E) and place others based on relative constraints, then count the remaining gap.
Fix the position of one anchor person (E) and place others based on relative constraints, then count the remaining gap.
Establish Reference
Let there be 7 positions in a circle. Place E at position 1. Since A sits to the immediate left of E (facing centre), A is at position 7.
Place Q and B/F
Three people between E and Q from the right of E means moving clockwise: E(1), pos 2, 3, 4, then Q is at 5. B and P have one person between them from the right of B, and F is to the immediate right of B. Testing positions, if B is at 3, F is at 2. This leaves positions 4 and 6 for P and R. If P is at 6, one person between B(3) and P(6) from the right of B is correct (pos 4 or 5 is between them). This leaves R at 4.
Final Arrangement and Calculation
The order clockwise is E(1), F(2), B(3), R(4), Q(5), P(6), A(7). We need people between R(4) and E(1) counting from the left of R. Moving left (counter-clockwise) from R(4), we have positions 3, 2, 1. Positions 3 (B) and 2 (F) are between them. That is two people.
A: One is incorrect as it ignores the relative gap between R and E. B: Incorrect count. D: Four is incorrect based on the derived circular seating order.
Option D is correct because, based on the established circular arrangement (clockwise: E, F, B, R, Q, P, A), moving to the left from R leads to B and F before reaching E, totaling two people.
In circular puzzles with 'left' and 'right', always visualize yourself facing the center to avoid confusing clock-hand directions.
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