Concept:
Idioms contain figurative meanings that differ from their literal descriptions. Driving a nail cleanly by striking its head requires perfect precision, which translates metaphorically into intellectual precision.
Step 1: Unpack the figurative mechanics of the idiom.
* The phrase "hit the nail on the head" refers to carpentry, where hitting a nail perfectly square on its head achieves the exact intended result smoothly.
* In conversation or teaching, it means arriving at the precise truth, identifying the exact cause of a problem, or stating a situation perfectly.
Step 2: Contrast against choices.
* (A) taught wrongly: Contradicts the efficiency implied by the idiom.
* (B) described something exactly right: Matches the precise nature of the action.
* (C) given irrelevant examples: Represents a miss, whereas the idiom implies a perfect hit.
* (D) scolded the students: Unrelated to accuracy.
Step 3: Conclusion.
* The professor explained or addressed a complex topic with perfect clarity and accuracy. Thus, option (B) is correct.