Concept:This is a floor arrangement puzzle solved by testing the possible positions of the fixed adjacent pairs and the given gap.
Explanation:The floors are numbered
1 to
6 from bottom to top.
Since
Z lives immediately below
U, we have
U=Z+1.
Since only three people live between
M and
Z, the difference between their floor numbers is
4.
So the possible pairs for
(M,Z) are
(5,1),
(6,2), and
(1,5).
But
U must be above
Z, and
H must be above
U.
For
(M,Z)=(5,1),
U would be on floor
2.
The remaining floors for
H,L,K are
3,4,6.
The only way for
H to be immediately above
L is
H=4,
L=3.
Then
K would get floor
6, but
K does not live on the topmost floor. So this case is invalid.
For
(M,Z)=(1,5),
U would be on floor
6.
Then no floor remains above
U for
H, so this case is also invalid.
For
(M,Z)=(6,2),
U is on floor
3.
The remaining floors are
1,4,5.
Since
H must be above
U,
H is on floor
5 and
L is immediately below on floor
4.
Thus,
K is on floor
1.
The final arrangement is: floor
6→M, floor
5→H, floor
4→L, floor
3→U, floor
2→Z, floor
1→K.
Between
H on floor
5 and
K on floor
1, the people on floors
4,
3, and
2 are
L,
U, and
Z.
Hence, exactly
3 people live between
H and
K.
Answer:Three people live between
H and
K, so the correct option is C.