Eight persons A, B, C, D, E, F, G, and H live on different floors of an eight-floor building, numbered 1 to 8 from bottom to top. One person lives on each floor but not necessarily in the given order.

G lives five floors above C. As many floors are there below C’s floor as above B’s floor. Three floors are there between the floors of B and D. F lives two floors away D. E does not live above H. A doesn’t live on prime numbered floor.

Who among the following lives on floor number 6?

To determine who lives on floor number 6, we can analyze the clues step-by-step and construct the floor arrangement from bottom to top (numbered 1 to 8).

Step 1: Determine the positions of G and C
We are given that G lives five floors above C. Let the floor number of C be $C$ and the floor number of G be $G$.
This gives us the relationship:
$G=C+5$

Since the building has 8 floors, the possible values for C and G are:
- If $C=1$, then $G=6$
- If $C=2$, then $G=7$
- If $C=3$, then $G=8$

Step 2: Use the relation between C and B
We are told that the number of floors below C is equal to the number of floors above B.
- Floors below C = $C-1$
- Floors above B = $8-B$
Equating these two:
$C-1=8-B\Rightarrow B+C=9$

Let's evaluate the cases for C:
- Case 1: If $C=1$, then $G=6$ and $B=8$.
- Case 2: If $C=2$, then $G=7$ and $B=7$. This is not possible because only one person lives on each floor and G is already on floor 7.
- Case 3: If $C=3$, then $G=8$ and $B=6$.

Step 3: Analyze the remaining conditions for Case 1 and Case 3

Let's test Case 3 (where $C=3$, $G=8$, and $B=6$):
- Three floors are there between B (floor 6) and D. This means D must live on floor 2 (since floors 5, 4, and 3 are between floors 6 and 2).
- F lives two floors away from D. Since D is on floor 2, F must be on floor 4.
- A does not live on a prime numbered floor. The prime floors are 2, 3, 5, and 7. The remaining empty floors are 1, 5, and 7. Since 5 and 7 are prime, A must live on floor 1.
- E does not live above H (meaning E lives on a lower floor than H). The remaining empty floors are 5 and 7. Thus, E must live on floor 5 and H must live on floor 7.

This gives us a consistent arrangement:
- Floor 8: G
- Floor 7: H
- Floor 6: B
- Floor 5: E
- Floor 4: F
- Floor 3: C
- Floor 2: D
- Floor 1: A

All conditions are satisfied under this arrangement. Therefore, B lives on floor number 6.