i) There are 9 friends A, B, C, D, E, F, G, H seated in a circle...

Fixed Sequence Analysis By combining the adjacency and directional constraints, we can establish this specific chain: - The A-Center: Since $A$ must be next to both $C$ and $H$ (from conditions $A C$ and $A H$ ), the arrangement must be $C-A-H$. - Placing B \& E: $B$ is (2^{\text {nd }}) to the right of $H . E$ is (3^{\text {rd }}) to the right of $C$. This places $E$ directly between $H$ and $B$, forming the chain: $C-A-H-E-B$. - Placing F: Since $F$ and $B$ are adjacent, $F$ must sit next to $B$ : $C-A-H-E-B- F$. Why the Answers are Undetermined The remaining 3 seats must be filled by $D, G$ (who are adjacent), and the unknown 9 th person. 1. Who is (2^{\text {nd }}) to the left of A?* (1^{\text {st }}) to the left is $C$. - (2^{\text {nd }}) to the left could be $D, G$, or the 9 th person depending on their order. - Answer: (D) Cannot be determined. 2. Who is (3^{\text {rd }}) to the left of C ? - This position is occupied by the $D, G$, (9th person) group. - Since their relative order is not restricted by the rules, the specific person in this seat is unknown. - Answer: (D) None of these.