A group of six friends - Jack, Kimberly, Lee, Melissa, Nick Olivia - go out to eat at a restaurant. They are seated evenly around a circular table based on the following conditions: Melissa does not sit next to Jack. Jack sits next to Olivia or Nick, but not both of them. Kimberly sits next to Nick. If Olivia sits next to Jack, then she doesn't sit next to Lee. Which of the following must be false if Jack sits next to Nick? I. Kimberly sits next to Lee. II. Nick sits directly opposite Melissa. III. Lee sits next to Jack and Olivia.

Explanation: Condition: Jack sits next to Nick (J-N). Cond 2: J sits next to O or N, not both. So O is NOT next to J. Cond 3: K sits next to N (K-N-J or J-N-K). Cond 1: M is NOT next to J. The two people next to J are N and X. X is not M. X is not O. So X must be L or K. Case 1: X=K. The arrangement is J-K-N. The remaining people are L, M, O. The arrangement must be J-K-N-L-M-O (Cond 4 is not applicable). In a circular table of 6 people, the seating is J, K, N, L, M, O. Opposite pairs are (J, L), (K, M), (N, O). I. K sits next to L (FALSE). II. N sits directly opposite M (FALSE, N is opposite O). III. L sits next to J and O (TRUE). **I is False**.