Step 1: Understanding the Concept:
To identify the correct usage of a word, we must understand its definition and its grammatical category (part of speech).
The word ``furtherance'' is an abstract noun.
It means the advancement, promotion, or fostering of a scheme, plan, interest, or policy.
Critically, in formal English, it is standardly used within the idiomatic prepositional phrase ``in furtherance of [something]''.
Step 2: Detailed Explanation:
Let’s analyze the syntax and grammatical function of the word across the given choices:
Option (a) [Correct]: ``He spoke in furtherance of the new policy.''
Here, ``furtherance'' functions accurately as a noun inside the prepositional block ``in furtherance of,'' meaning he spoke to help advance or promote the new policy. This usage is perfectly standard.
Option (b) [Incorrect]: ``She furtherance the work yesterday.''
Here, the word is incorrectly forced into acting as a past-tense verb. You cannot ``furtherance'' something; you can only ``further'' it. The correct verb would be {furthered}.
Option (c) [Incorrect]: ``The furtherance was quickly running.''
This sentence treats ``furtherance'' as a concrete noun (like a person or animal) capable of physical motion (running), which makes no semantic sense as it is an abstract concept.
Option (d) [Incorrect]: ``They are furtherance to school.''
This sentence completely violates basic grammar by substituting a noun where a continuous action verb like ``going'' or ``walking'' is required.
Thus, only Option (a) adheres to the correct part-of-speech rules.
Step 3: Final Answer:
The word ``furtherance'' is a noun used to describe the act of helping something progress.
The correct sentence is: ``He spoke in furtherance of the new policy.'' (Option a)