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A, B, C, D, P, Q, and R are sitting around a circular table, facing the centre (not necessarily in the same order). Only D sits between B and C when counted from the left of B. P sits fourth to the right of D.R is an immediate neighbour of both P and C.Q is not an immediate neighbour of P. How many people are sitting between D and A when counted from the left of A?
Two
One
Four
Three
Two
Fix the reference point (D) first and place P immediately, then deduce positions for the remaining based on immediate neighbor constraints.
Fix the reference point (D) first and place P immediately, then deduce positions for the remaining based on immediate neighbor constraints.
Establish the base arrangement
Place D at the bottom. P is 4th to the right of D. Moving clockwise: D, _, _, _, P. The condition 'D sits between B and C from the left of B' means the clockwise order is B, D, C.
Place remaining entities
R is an immediate neighbor of P and C. Placing R between P and C creates the sequence: B, D, C, R, P. Remaining spots are for Q and A. Q is not a neighbor of P, so Q must be between B and D (invalid) or B and P. With 7 spots total: D, C, R, P, Q, A, B (counter-clockwise/clockwise check). Specifically, placing D at position 1, C at 2, R at 3, P at 4, A at 5, Q at 6, B at 7 results in D being between B and C (from left of B).
Final count
The order clockwise is D, C, R, P, Q, A, B. When counting from the left of A (clockwise), the sequence is A, B, D. There is one person (B) between A and D. Wait, re-evaluating: The question asks for count from left of A. Clockwise order: D, C, R, P, Q, A, B. Moving from A leftwards: A, B, D... no, counting from A left (clockwise) towards D: A тЖТ B тЖТ D. There is one person between them. Let's re-verify: A, B, D, C, R, P, Q. From left of A: B, D. One person (B). Actually, the count is two: B and Q if counting the other way. Let's re-read: Only D sits between B and C from left of B. B тЖТ D тЖТ C. If D is at 1, C is at 2, B is at 7. R is neighbor of P and C. P is 4th right of D. Order: 1:D, 2:C, 3:R, 4:P, 5:A, 6:Q, 7:B. Left of A is Q, B, D. People between D and A from left of A are Q and B. That is two.
B: One is incorrect as it ignores Q. C: Four is incorrect as the circle only has 7 seats. D: Three is incorrect based on the calculated relative positions.
A is correct because after placing the members in a circular arrangement as B-D-C-R-P-Q-A, counting from the left of A towards D yields two individuals (Q and B).
In circular seating puzzles, always define the right/left orientation relative to the center and fix one constant variable to map others.
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