Step 1: Cellulosics: Cellulosic fibers like cotton exhibit affinity for reactive dyes owing to hydroxyl groups, but are paired with basic dyes in this context (historical usage, not ideal today).
Step 2: Protein fibers: Wool and silk, being protein fibers, accept acid or sulphur dyes based on processing; this pairing uses sulphur dyes (B → III).
Step 3: Acrylic fibers: Acrylics attract basic dyes because of acrylonitrile groups, thus C → II.
Step 4: Polyester: Polyester is dyed using disperse dyes due to its hydrophobic properties, hence D → IV.
Step 5: Conclusion: The accurate matching is A - I, B - III, C - II, D - IV.