Step 1: Understanding the Concept:
Malinger means to pretend to be ill, weak or unable to work, purely to avoid a duty or a task. The example sentence uses it to describe someone dodging his work load on purpose.
Step 2: Key Formula or Approach:
For a "most inappropriate word" question, check each option against the core sense of the given word, which here is avoiding work through some form of pretence or idleness, and find the one option that breaks away from that sense.
Step 3: Detailed Explanation:
Wander carries a sense of aimless movement, which can describe someone drifting away from their duties instead of doing them, so it loosely fits.
Laze means to be idle and lazy, which is very close to the picture of someone shirking assigned work.
Evade means to dodge or escape a responsibility, which is close to the exact meaning of malinger.
Argue means to state or debate an opposing view, often heatedly. It says nothing about pretending illness or dodging duty, it is about disagreement in speech, a completely different idea.
Step 4: Final Answer:
Since argue has no connection with shirking work or feigning illness, it is the one word that does not belong.
\[ \boxed{\text{Argue, option D}} \]