Eight friends J, K, L, M, N, O, P and Q live on eight different floors of a building but not necessarily in the same order. The lowermost floor of the building is numbered one, the one above that is numbered two and so on until the topmost floor is numbered eight.<br /> J lives on floor numbered six.<br /> Only one person lives between J and L.<br /> O lives on the floor immediately below L.<br /> Only one person lives between O and P.<br /> O lives above P.<br /> K lives on an even-numbered floor but not on the floor numbered two.<br /> Two persons live between K and Q.<br /> Q does not live on the lowermost floor.<br /> N lives on one of the floors above Q.<br /> If P and L interchange their places, who will live between P and M?
Step-by-step Solution:
This question requires us to first solve the main puzzle to find the original floor arrangement of all eight friends. Then, we can apply the hypothetical interchange to find the new answer.
A full step-by-step analysis of all the clues in the problem description leads to one unique and final arrangement of the friends on the eight floors:
The question asks what happens if P and L interchange their places.
We now need to find who lives on the floor(s) between P and M in this new arrangement.
The only floor that is physically between Floor 4 and Floor 2 is Floor 3. Looking at our original arrangement, the person who lives on Floor 3 is O.
Final Answer: O will live between P and M.