Six persons- A, B, C, D, E and F have different heights.
B is taller than D and shorter than E.
E > B > D
A is shorter than B.
Case 1: E > B > D > A
Case 2: E > B > A > D
F is shorter than A and taller than D.
Thus, Case 1 gets cancelled.
Case 2: E > B > A > F > D
C is shorter than F.
C is not the shortest person.
E > B > A > F > C > D
The height of second shortest person is 135cm.
E > B > A > F > C(135cm) > D
This is the final arrangement.
Height of C = 135cm
Height of A = 148cm
Height of F must be between A and C.
Thus, the possible height of F will be either 141cm or 146cm.