Ten people—J, K, L, M, N, O, P, Q, R, and S —live in a building with five floors and two flats (Flat 1 and Flat 2) on each floor. The floors are numbered from 1 to 5 (1 being the lowermost floor and 5 being the topmost floor).

Note I: Each floor has two flats viz., Flat-1 and Flat-2, where Flat 1 is to the west of Flat 2.

Note II: Flat 1 of floor 2 is immediately above Flat 1 of floor 1 and immediately below Flat 1 of floor 3 and so on. Similarly Flat 2 of floor 2 is immediately above Flat 2 of floor 1 and immediately below Flat 2 of floor 3 and so on.

Note III: The area of each flat is equal.

Note IV: Only two persons live on each floor and only one person lives in each flat.

L lives on an even-numbered floor in Flat-1. P lives in Flat-2 of the topmost floor. N lives west of Q. N lives on a floor immediately below the L’s floor. K and R live on the same named flat. K and L lives in a different named flat. Only one floor is between K and O. K lives below O. S lives to the west of P. M lives immediately below O, but not in the same named flat. One floor between J’s floor and L’s floor.

Which among the following statement is/are false?

To determine the false statement, we can reconstruct the floor and flat arrangement step-by-step from the given conditions.

Let the building have 5 floors (numbered 1 to 5 from bottom to top) and two flats on each floor (Flat 1 on the west, Flat 2 on the east).

Step 1: Place P and S
- P lives in Flat-2 of the topmost floor (Floor 5, Flat 2).
- S lives to the west of P, which means S lives in Floor 5, Flat 1.

Step 2: Determine the position of L and N
- L lives on an even-numbered floor in Flat-1. The even floors are 2 and 4.
- N lives on a floor immediately below L's floor, and N lives west of Q (so N is in Flat 1, Q is in Flat 2 on the same floor).
- If L is on Floor 4, then N and Q must be on Floor 3. If L is on Floor 2, then N and Q must be on Floor 1.

Step 3: Analyze the relationship between J and L
- There is one floor between J's floor and L's floor.
- If L is on Floor 4: J must be on Floor 2 (since Floor 5 is fully occupied by S and P).
- If L is on Floor 2: J must be on Floor 4.

Step 4: Analyze K, O, and M
- K and L live in different named flats. Since L is in Flat 1, K must be in Flat 2.
- K and R live in the same named flat, so R is also in Flat 2.
- Only one floor is between K and O, and K lives below O. This means if K is on Floor $x$, O is on Floor $x+2$.
- M lives immediately below O, but not in the same named flat as O. This means M is on Floor $x+1$.
- Let us test L on Floor 4 (N and Q on Floor 3):
- Floor 5: S, P
- Floor 4: L (Flat 1)
- Floor 3: N (Flat 1), Q (Flat 2)
- If O is on Floor 4 (Flat 2), K must be on Floor 2. Then M must be on Floor 3 (immediately below O). However, Floor 3 is already fully occupied by N and Q. Thus, L cannot be on Floor 4.
- Therefore, L must be on Floor 2 (Flat 1), which means N and Q are on Floor 1 (Flat 1 and Flat 2 respectively), and J is on Floor 4.

Step 5: Complete the layout with L on Floor 2
- Floor 1: N (Flat 1), Q (Flat 2)
- Floor 2: L (Flat 1), K (Flat 2) (since K is in Flat 2)
- Floor 4: J (Flat 1 or Flat 2), O (Flat 2 or Flat 1). Since O is two floors above K (Floor 2), O must be on Floor 4.
- Floor 3: M must be immediately below O (Floor 4). Since R must be in Flat 2, and M cannot be in the same flat as O:
- If O is in Flat 2, M must be in Flat 1, and R is in Flat 2 on Floor 3. This matches perfectly, placing J in Flat 1 of Floor 4.

Final Arrangement:
- Floor 5: S (Flat 1), P (Flat 2)
- Floor 4: J (Flat 1), O (Flat 2)
- Floor 3: M (Flat 1), R (Flat 2)
- Floor 2: L (Flat 1), K (Flat 2)
- Floor 1: N (Flat 1), Q (Flat 2)

Now we evaluate the given statements:
- "Two floors between P’s floor (5) and L’s floor (2)": True (Floors 3 and 4 are between them).
- "J lives above L": True (Floor 4 is above Floor 2).
- "N lives immediately below K": True (Floor 1 is immediately below Floor 2, and both are in Flat 1 and Flat 2 on adjacent floors).
- "Q lives above M": False (Q is on Floor 1, which is below M on Floor 3).

Thus, the statement "Q lives above M" is false.