Five people A, B, C, D, E sit on a bench (left to right). A sits next to B. C sits next to D. D is not next to E, who is at the extreme left end. C is second from the right. A is to the right of both B and E. A and C sit together. At which position is A sitting?

Introduction / Context:Multiple adjacency and end constraints determine a unique line-up for five seats, allowing us to pinpoint A’s exact position relative to neighbors.

Given Data / Assumptions:

• Seats are 1–5 left to right; E is at seat 1 (left end).
• C is second from the right ⇒ seat 4.
• A sits next to B and also sits with C (i.e., A adjacent to C).
• A is to the right of B and E ⇒ B is left of A; both are left of seat 1’s E or to its right accordingly.
• C sits next to D; D is not next to E.

Concept / Approach:Since C is at seat 4, A must be adjacent to C at seat 3 or 5. Because A must also be next to B and to the right of B and E, A fits at seat 3 with B at seat 2. Then C at seat 4 is next to D at seat 5, and D is not adjacent to E at seat 1.

Step-by-Step Solution:

Verification / Alternative check:Trying A at seat 5 fails because then A cannot be to the right of B and simultaneously adjacent to C with C fixed at seat 4.

Why Other Options Are Wrong:The only neighbors of A in the valid layout are B (left) and C (right).

Common Pitfalls:Forgetting C’s fixed position (second from right) forces A to be at seat 3, not at an edge.

Final Answer:Between B and C