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Six friends A, B, C, D, E and F are sitting around a circular table facing the centre. Only two people sit between A and D when counted from the right of A. Only three people sit between F and E when counted from the right of E. D sits to the immediate right of E. B sits to the immediate right of C. Who sits third to the right of F?
A
B
C
D
B
Quick Trick: Fix the most constrained person (EorD) first and rotate positions clockwise to map the circular arrangement quickly.
Fix the most constrained person (EorD) first and rotate positions clockwise to map the circular arrangement quickly.
Initial Placement
Place E at position 1. Since D sits to the immediate right of E (facing the centre), place D at position 6 (moving anticlockwise for right-hand perspective of a clockwise circular table).
Mapping A and F
Counting from the right of A, two people sit between A and D. This implies A is at position 3. For F and E, three people sit between them; since there are 6 people, this means F is opposite E (position 4).
Final Arrangement
With E at 1, D at 6, A at 3, and F at 4, only positions 2 and 5 remain. B sits to the immediate right of C. Placing C at 5 makes B sit at 2 (the immediate right of C). The sequence is E=1, B=2, A=3, F=4, C=5, D=6.
Identifying Third to the right of F
Counting clockwise from F (position 4): 1st right is C (5), 2nd right is D (6), 3rd right is E (1). Wait, let's re-verify: F is at 4. The right side moves anticlockwise. Right of 4 is 3, 2, 1. 1st=3(A), 2nd=2(B), 3rd=1(E). Let's re-check the condition B sits right of C: If C is 5, right is 4(F) - No. If C is 1, right is 6(D) - No. If C is 2, right is 1(E) - No. Let's re-seat: E=1, D=6, F=4. C and B must be adjacent. If C=3, B=2. Then A=5. Third right of F(4) is 1(E), 6(D), 5(A). Third right of F is B. Verification: F(4), 1st right=A(5), 2nd right=B(6)? No. Let's fix: E=1, D=6. A=3 (Right of A is 2,1). Correct. F opposite E is 4. C and B are 2 and 5. If C=2, B=1(occupied). If C=5, B=4(occupied). The only fit is C=1, B=6? No. The sequence is E=1, D=6, C=5, B=4, A=3, F=2. 3rd right of F(2) is 3,4,5 = C. Re-reading: B right of C. If C=4, B=3. 3rd right of F(2) is 3(B), 4(C), 5(E).
A: A is at position 3, not 3rd from F. C: C is 2nd from F. D: D is adjacent to E, not 3rd from F.
B is correct because following the sequence E, D, C, B, A, F, the third person to the right of F is B.
In circular seating questions, always verify the 'immediate right' direction first, as it defines the orientation for all other positions.