Concept:
Different boring methods are suitable for different field conditions depending on the type of soil and depth of exploration.
Step 1: Identify the applications of each boring method.
• Auger Boring $\rightarrow$ Suitable for shallow exploration and highway investigations.
• Wash Boring $\rightarrow$ Suitable below the water table in most soils except hard rock.
• Percussion Drilling $\rightarrow$ Suitable for bouldery and gravelly strata.
• Rotary Drilling $\rightarrow$ Used for large diameter bore holes.
Step 2: Match the lists.
\[
A\rightarrow III,\qquad
B\rightarrow I,\qquad
C\rightarrow IV,\qquad
D\rightarrow II.
\]
Hence,
\[
\boxed{A-III,\;B-I,\;C-IV,\;D-II}
\]
Therefore, the correct option is
\[
\boxed{(A)\;A-III,\;B-I,\;C-IV,\;D-II.}
\]