There are five poles A, B, C, D and E. A is at right of B and E is at left of C and right of A. B is right of D which pole is in the middle.

A

Let us consider that the houses are north facing.

1. There are five different houses, A to E, in row.

2. A is to the right of B and E is to the left of C and right of A, B is to the right of D.

So, the houses are arranged in the manner shown below:

D----B----A----E----C

Hence, house ‘A’ is in the middle.