Twelve buildings are arranged in two parallel rows, each containing six buildings. Row 1 has buildings A, B, C, D, E, and F facing east, while Row 2 h...
Question
Twelve buildings are arranged in two parallel rows, each containing six buildings. Row 1 has buildings A, B, C, D, E, and F facing east, while Row 2 has buildings J, K, L, M, N, and O facing west. Each building faces the building directly opposite it in the other row. The number of offices in each building varies, with none having fewer than 5 or more than 28 offices. Given the following clues:
- M is second to the right of the building with 15 offices.
- The number of buildings to the right of M is one less than the number of buildings to the left of L.
- L has a prime number of offices.
- The building facing M is second to the left of the building immediately right of D.
- F has 22 offices and is second from either end.
- The difference between the number of offices in F and L is 5.
- The number of buildings between D and F equals the number between J and L.
- K has 12 offices and is second to the left of J.
- The difference between the offices in K and L equals the number of offices in B.
- C is third to the right of B, which does not face M.
- C has 16 offices.
- O has two fewer offices than N.
- N has fewer offices than L.
- The number of offices in E is a multiple of 11.
- E is to the right of the building with 18 offices.
- The difference between the offices in O and A equals the number of offices in M.
- J has a perfect square number of offices and more than D.
- M has 15 fewer offices than J.
Which of the following statements is true?