Four people, A, B, C, and D, are sitting in a straight line, facing south. Who is sitting at the right end?

**Statements:**
- (I) Only two people sit between B and D; A sits to the immediate left of B.
- (II) Only one person sits between B and C; A sits to the immediate right of C.

Question

Four people, A, B, C, and D, are sitting in a straight line, facing south. Who is sitting at the right end?

**Statements:**
- (I) Only two people sit between B and D; A sits to the immediate left of B.
- (II) Only one person sits between B and C; A sits to the immediate right of C.

Accepted Answer

**Solution:**

1. The four people A, B, C, and D are sitting in a straight line facing south. When facing south, the person's left is to our right and right is to our left.

2. **Analyzing Statement I:**
   - "Only two people sit between B and D" means the arrangement is either B _ _ D or D _ _ B.
   - "A sits to the immediate left of B" means A is immediately to the right of B from our perspective (since they face south).
   - Considering four people, the only possible arrangement satisfying both is D A B C.
   - Here, D is at the left end and C is at the right end.
   - Therefore, statement I alone is sufficient to determine that C is at the right end.

3. **Analyzing Statement II:**
   - "Only one person sits between B and C" means either B _ C or C _ B.
   - "A sits to the immediate right of C" means A is immediately to the left of C from our perspective.
   - Case 1: B _ C with A immediately right of C means arrangement B D A C. Right end is C.
   - Case 2: C _ B with A immediately right of C means arrangement A C D B. Right end is B.
   - Since two different people can be at the right end, statement II alone is insufficient.

**Answer:** Data in statement I alone is sufficient to answer the question while data in statement II is not.

Answer

Answer

Answer