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Six people are sitting in a circular arrangement facing the center. A is between B and C. D is second to the left of A. E is to the immediate right of C. Who is sitting between D and E?
A
B
F
C
F
Fix the most constrained person (A) first, then place neighbors relative to center-facing directions to map the circle instantly.
Fix the most constrained person (A) first, then place neighbors relative to center-facing directions to map the circle instantly.
Establish the anchor
Place A at the bottom. Since A is between B and C, either B-A-C or C-A-B is possible. Let's place A at position 6 (bottom), B at 5 (bottom-right), and C at 1 (bottom-left) to satisfy the constraint.
Place remaining entities
D is second to the left of A. Since A is at 6, first left is 5 (B), second left is 4. So, D is at position 4. E is to the immediate right of C. If C is at position 1, E must be at position 6, but A is there. Let's re-arrange: C at 1, A at 2, B at 3. Then, D is second to the left of A (A at 2, 1st left is 1-C, 2nd left is 6). D is at 6. E is immediate right of C (C at 1, immediate right is 6, but D is there). Let's fix: A at 1. B at 2, C at 6. D is 2nd left of A (1st left 6, 2nd left 5). So D is at 5. E is immediate right of C (C at 6, immediate right is 1, but A is there). Correction: B-A-C is clockwise: 1:A, 2:B, 6:C. Immediate right of C is 1(A) - incorrect. Let's try: 1:A, 2:C, 6:B. E is immediate right of C (C at 2, immediate right is 3). So E is at 3. D is second to left of A (A at 1, 1st left 6, 2nd left 5). So D is at 5. The only remaining spot is 4, occupied by F.
Identify the gap
The arrangement is: 1:A, 2:C, 3:E, 4:F, 5:D, 6:B. Checking D and E: D is at 5 and E is at 3. The person between 5 and 3 is at position 4, which is F.
A: A is the anchor position, not between D and E. B: B is at position 6, far from the D-E gap. C: C is adjacent to E but not between D and E.
C is correct because the arrangement 1:A, 2:C, 3:E, 4:F, 5:D, 6:B places F exactly between D (5) and E (3).
In circular puzzles, always determine the clockwise/anticlockwise orientation first to ensure 'left' and 'right' movements remain consistent.