Four children are sitting in a row. A is occupying the seat next to B but not next to C. If C is not sitting next to D, who is/are occupying seat/seats adjacent to D?

Let's denote the four seats in a row as 1, 2, 3, 4. We are given three conditions: 1. A is next to B. (A and B are adjacent) 2. A is not next to C. (A and C are not adjacent) 3. C is not next to D. (C and D are not adjacent) Let's deduce the possible arrangements: Step 1: Analyze A's position. * Assume A is at an end seat, say position 1. Then B must be at position 2 (from condition 1). So, A B _ _. * From condition 2 (A not next to C), C cannot be at position 3. Therefore, C must be at position 4. The arrangement becomes A B D C (D fills the remaining spot). * Now, check condition 3 (C not next to D). In A B D C, D is at 3 and C is at 4, meaning they are adjacent. This violates condition 3. So, A B D C is an invalid arrangement. * A similar logic applies if A is at position 4 (_ _ B A). C would have to be at position 1, and D at position 2 (C D B A). Again, C and D are adjacent, violating condition 3. * Therefore, A cannot be at an end seat. A must be in a middle seat (position 2 or 3). Step 2: A is in a middle seat. Case 1: A is at position 2 (_ A _ _). * From condition 2 (A not next to C), C cannot be at position 1 or 3. So, C must be at position 4. The arrangement is now _ A _ C. * From condition 1 (A next to B), B must be at position 1 or 3. * If B is at position 1: B A _ C. D must be at position 3. Arrangement: B A D C. Check condition 3: D is at 3, C is at 4. They are adjacent. This is INVALID. * If B is at position 3: _ A B C. D must be at position 1. Arrangement: D A B C. Check all conditions: 1. A next to B (yes, A at 2, B at 3). 2. A not next to C (yes, B is between A and C). 3. C not next to D (yes, A and B are between C and D). This arrangement (D A B C) is VALID. Case 2: A is at position 3 (_ _ A _). (This is symmetrical to Case 1) * From condition 2 (A not next to C), C cannot be at position 2 or 4. So, C must be at position 1. The arrangement is now C _ A _. * From condition 1 (A next to B), B must be at position 2 or 4. * If B is at position 4: C _ A B. D must be at position 2. Arrangement: C D A B. Check condition 3: C is at 1, D is at 2. They are adjacent. This is INVALID. * If B is at position 2: C B A _. D must be at position 4. Arrangement: C B A D. Check all conditions: 1. A next to B (yes, B at 2, A at 3). 2. A not next to C (yes, B is between A and C). 3. C not next to D (yes, B and A are between C and D). This arrangement (C B A D) is VALID. Step 3: Identify who is adjacent to D in the valid arrangements. We have found two valid arrangements: 1. D A B C: D is at position 1. The seat adjacent to D is position 2, occupied by A. 2. C B A D: D is at position 4. The seat adjacent to D is position 3, occupied by A. In both valid arrangements, A is the person occupying the seat adjacent to D. The final answer is B