Question 1
Six persons C, F, A, B, E and D are sitting around a circular table facing the center.
C sits second to the left of F. A sits opposite to C.
B sits immediately to the right of A. D is not adjacent to B.
Who sits opposite to F?
Solution Approach:
Step 1: Draw circular diagram
6 persons facing center. Opposite positions are 3 seats apart.
Number positions 1–6 clockwise.
Step 2: Place definite positions
- Fix C at position 1 (reference point)
- C is second to the LEFT of F → F is 2 clockwise from C
pos[F] = 3
- A sits OPPOSITE C (pos 1) → pos 4
- B sits immediately to the right of A (pos 4) → pos 5
Step 3: Resolve remaining positions
Remaining persons: D, E → remaining seats: [2, 6]
D is NOT adjacent to B (pos 5).
Adjacent to pos 5: pos 4 and pos 6.
Therefore D → pos 2, and E → pos 6.
Final Arrangement (clockwise):
pos1:C → pos2:D → pos3:F → pos4:A → pos5:B → pos6:E
(All facing center)
Opposite pairs: pos1↔pos4, pos2↔pos5, pos3↔pos6
F is at pos 3 → opposite = pos 6 = E
Answer: E sits opposite to F.
Step 1: Draw circular diagram
6 persons facing center. Opposite positions are 3 seats apart.
Number positions 1–6 clockwise.
Step 2: Place definite positions
- Fix C at position 1 (reference point)
- C is second to the LEFT of F → F is 2 clockwise from C
pos[F] = 3
- A sits OPPOSITE C (pos 1) → pos 4
- B sits immediately to the right of A (pos 4) → pos 5
Step 3: Resolve remaining positions
Remaining persons: D, E → remaining seats: [2, 6]
D is NOT adjacent to B (pos 5).
Adjacent to pos 5: pos 4 and pos 6.
Therefore D → pos 2, and E → pos 6.
Final Arrangement (clockwise):
pos1:C → pos2:D → pos3:F → pos4:A → pos5:B → pos6:E
(All facing center)
Opposite pairs: pos1↔pos4, pos2↔pos5, pos3↔pos6
F is at pos 3 → opposite = pos 6 = E
Answer: E sits opposite to F.