Eight persons A, B, C, D, E, F, G and H live in the eight-storeyed building, but not necessarily in the same order. The bottommost floor is numbered as 1, above it as 2, and so on.
A, who lives below G, lives on floor 6.
| Case 1 | Case 2 |
Floors | Persons | Persons |
8 | G | |
7 | | G |
6 | A | A |
5 | | |
4 | | |
3 | | |
2 | | |
1 | | |
Four persons live between C and E. Neither C nor D lives on the even-numbered floor.
| Case 1 | Case 2 |
Floors | Persons | Persons |
8 | G | E |
7 | C | G |
6 | A | A |
5 | | |
4 | | |
3 | | C |
2 | E | |
1 | | |
H lives immediately above E. Thus, case 2 is invalid.
B lives below E.
| Case 1 |
Floors | Persons |
8 | G |
7 | C |
6 | A |
5 | |
4 | |
3 | H |
2 | E |
1 | B |
Neither C nor D lives on the even-numbered floor.
Therefore, the final arrangement is:
Floors | Persons |
8 | G |
7 | C |
6 | A |
5 | D |
4 | F |
3 | H |
2 | E |
1 | B |
Only statement III is true.