Eight persons — A, B, C, D, E, F, G, and H are sitting around a circular table facing toward the center, but not necessarily in the same order. Also, each of them is holding number cards from 2 to 9 (one card per person). The numbers on their cards are distinct. Consecutive numbered card holders are not sitting adjacent to each other. B is sitting second to the left of the person holding the card numbered 7. The person holding the card numbered 3 is sitting second to the right of E, who holds an even-numbered card greater than 4. C holds a card whose number is a prime number, but C is not sitting adjacent to either B or the person holding the card numbered 9. The person holding the card numbered 9 is sitting immediately to the right of A, who holds a card number divisible by both 2 and 4. The difference between the numbers on the cards hold by D and the person sitting opposite D is 3. The person holding the card numbered 2 sits third to the left of the person holding the card numbered 6. The sum of the numbers on the cards hold by G and the person sitting to G's immediate right is 11. The person holding the card numbered 4 is sitting opposite the person holding the card numbered 8. Who is seated immediately to the left of the person holding the card numbered 7?

### Concept & Logic To determine exact positions in an advanced circular arrangement, every variable must be strictly defined by the clues. If the clues do not uniquely distinguish two or more entities, their exact positions remain ambiguous. ### Step-by-Step Solution 1. **Establish the base arrangement:** Following the core deductions from the puzzle, we can map the cards and most people to 8 positions (anti-clockwise sequence 1 through 8): * Pos 1: $A$ (holds 4) * Pos 2: $D$ (holds 9) * Pos 3: ? (holds 2) * Pos 4: $C$ (holds 5) * Pos 5: $E$ (holds 8) * Pos 6: $B$ (holds 6) * Pos 7: ? (holds 3) * Pos 8: $G$ (holds 7) 2. **Identify missing entities:** The only people left to place are $F$ and $H$. The only positions left are Position 3 and Position 7. 3. **Analyze remaining clues:** * We have exhausted all given clues (adjacency, sum, differences, consecutive card restrictions). * Neither $F$ nor $H$ is explicitly or implicitly constrained to a specific card or position among the two remaining slots. * Therefore, $F$ could be at Position 3 (holding 2) with $H$ at Position 7 (holding 3), OR vice versa. 4. **Answer the specific question:** The question asks who is immediately to the left of the person holding 7. * The person holding 7 is $G$ at Position 8. * "Left" in a center-facing circle is clockwise. The position immediately clockwise to Position 8 is Position 7. * Position 7 is occupied by either $F$ or $H$. Since we cannot confirm which one, the answer cannot be determined. ### Exam Strategy & Shortcut When you reach the end of a puzzle derivation and two variables are left with no unused clues, do not waste time re-reading the prompt hoping to find a hidden meaning. Trust your extraction process; "Cannot be determined" is frequently the correct answer for exactly this reason. ### Common Pitfall Guessing between the remaining variables based on alphabetical order or arbitrary assumptions instead of objectively acknowledging the ambiguity. ### Final Answer Therefore, the correct answer is **Can't be determined**.