Official answer: C) Bridges on Q, R, T, and V
Analytical AptitudeTo connect 5 disconnected land zones (Z1,Z2,Z3,Z4,Z5), the minimum number of bridges required is 5−1=4 (forming a spanning tree of the zone adjacency graph).
Let us determine which zones are separated by each river segment:
P separates Z1 and Z2
R separates Z2 and Z3
Q separates Z1 and Z3
S separates Z1 and Z5
T separates Z3 and Z5
V separates Z3 and Z4
U separates Z4 and Z5
Now evaluating the options:
(A) Bridges on P, Q, and T: Uses only 3 bridges, which is insufficient to connect 5 zones.
(B) Bridges on P, Q, S, and T: Connects {Z1,Z2,Z3,Z5}, leaving Z4 completely disconnected.
(C) Bridges on Q, R, T, and V:
Q connects Z1 and Z3
R connects Z2 and Z3
T connects Z5 and Z3
V connects Z4 and Z3
This forms a star graph centered at Z3, connecting all 5 zones with exactly 4 bridges (the minimum possible).
(D) Bridges on P, Q, S, U, and V: Uses 5 bridges, which is not the least number of bridges.
Therefore, option (C) is correct.