Twelve buildings are arranged in two parallel rows, each row having 6 buildings facing each other. Row 1 has buildings A, B, C, D, E, and F facing east, and Row 2 has buildings J, K, L, M, N, and O facing west. Each building has a unique number of offices ranging between 5 and 28. 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, which has 22 offices, is second from either end.
- The difference between the offices of F and L is 5.
- The number of buildings between D and F equals the number between J and L.
- K, with 12 offices, is second to the left of J.
- The difference between the offices of K and L equals the number of offices B has.
- C is third to the right of B, and B does not face M.
- C has 16 offices.
- O has two offices less 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 of 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 offices less than J.

**Question:** Which building is second to the left of C?

Question

Twelve buildings are arranged in two parallel rows, each row having 6 buildings facing each other. Row 1 has buildings A, B, C, D, E, and F facing east, and Row 2 has buildings J, K, L, M, N, and O facing west. Each building has a unique number of offices ranging between 5 and 28. 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, which has 22 offices, is second from either end.
- The difference between the offices of F and L is 5.
- The number of buildings between D and F equals the number between J and L.
- K, with 12 offices, is second to the left of J.
- The difference between the offices of K and L equals the number of offices B has.
- C is third to the right of B, and B does not face M.
- C has 16 offices.
- O has two offices less 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 of 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 offices less than J.

**Question:** Which building is second to the left of C?

Accepted Answer

**Solution:**

1. Since F is second from either end in Row 1, the possible positions for F are 2nd or 5th.

2. F has 22 offices.

3. L and F differ by 5 offices, so L has either 17 or 27 offices. Since no building has more than 28 offices, L = 17 (prime number) fits.

4. M has 15 offices less than J, and J has a perfect square number of offices greater than D.

5. K has 12 offices and is second to the left of J.

6. The difference between offices of K and L equals offices in B, so B = |12 - 17| = 5.

7. C is third to the right of B and has 16 offices.

8. B does not face M, so B and M are not opposite each other.

9. Using these clues, the arrangement in Row 1 (left to right) is: A, B, C, D, E, F.

10. The question asks for the building second to the left of C. Counting leftwards from C (3rd position), second to the left is position 1, which is A.

11. However, considering the clues about E being to the right of the building with 18 offices and E having offices multiple of 11, E fits at position 4 or 5.

12. After placing all buildings according to the clues, the building second to the left of C is found to be E.

**Answer:** E

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