Eight persons: A, B, G, H, N, R, T, and U
Floor: 1, 2, 3, and 4
Flats: Flat Y and Flat Z
(1) G lives just below R’s flat such that both live in the same type of flat.
(2) T and U live in the same type of flat such that T lives just above U’s floor and lives immediate west of B.
So, there will be Six cases:
|
Case 1 |
Case 2 |
Case 3 |
Case 4 |
Case 5 |
Case 6 |
Floors |
Flat Y |
Flat Z |
Flat Y |
Flat Z |
Flat Y |
Flat Z |
Flat Y |
Flat Z |
Flat Y |
Flat Z |
Flat Y |
Flat Z |
4 |
|
R |
|
|
T |
B |
R |
|
T |
B |
T |
B |
3 |
|
G |
T |
B |
U |
R |
G |
|
U |
|
U |
|
2 |
T |
B |
U |
R |
|
G |
T |
B |
|
R |
R |
|
1 |
U |
|
|
G |
|
|
U |
|
|
G |
G |
|
(3) H lives on a floor above B.
Thus, Case 3, 5, and 6 is cancelled.
|
Case 1 |
Case 2 |
Case 4 |
Floors |
Flat Y |
Flat Z |
Flat Y |
Flat Z |
Flat Y |
Flat Z |
4 |
H |
R |
H |
H |
R |
H |
3 |
H |
G |
T |
B |
G |
H |
2 |
T |
B |
U |
R |
T |
B |
1 |
U |
|
|
G |
U |
|
(4) N does not live in a flat that is adjacent to T’s flat. and two floors between N's flat and T's flat.
Now, N and T do not live in the same flat which means N must live on the ground floor in the Flat Z so, U must live on the ground floor in Flat Y. So, B must live in Flat Z of the Floor 2 as T lives immediate west of B and T lives above the floor on which U lives, which means H lives on the topmost floor in Flat Y. Now, R and G live in same flat and G live below R which means G must live on the Floor 3 in Flat Z and R lives on 4th floor in the Flat Z.
The final arrangement is as follows:
Floors |
Flat Y |
Flat Z |
4 |
H |
R |
3 |
A |
G |
2 |
T |
B |
1 |
U |
N
|
Given Statements:
(a) G lives in Flat Y- False
(b) G lives on the bottommost floor- False
(c) G lives on a floor above N but not immediately above. - True
(d) G and T live on the same floor- False
Thus, G lives on a floor above N but not immediately above is the only true statement.