Step 1: Define the objective of each test.
- (A) Plate load test: Determines bearing capacity of soil with respect to allowable settlement $\Rightarrow$ IV.
- (B) Standard penetration test (SPT): Estimates bearing capacity of cohesionless soils $\Rightarrow$ I.
- (C) Vane shear test: Assesses the undrained shear strength of soft cohesive soils $\Rightarrow$ II.
- (D) Dilatancy test: Aids in distinguishing silt from clay $\Rightarrow$ III.
Step 2: Establish the pairings.
\[A \to IV, B \to I, C \to II, D \to III\]
Step 3: Final determination.
The corresponding option is (3).