Step 1: Place each in the series:
$\text{S}^{2-}$ is weak. $\text{H}_2\text{O}$ lies in the middle. $\text{NCS}^-$ (bonded through N) is a little stronger than water. $\text{NH}_3$ is stronger again.
Step 2: Pick:
$\text{NH}_3$ comes latest in the series among the four, so it produces the largest splitting.
Final Answer:
The strongest field ligand is $\text{NH}_3$, option (B).
\[ \boxed{\text{NH}_3} \]