A.I. Explanation:

Correct answer: engaging

Explanation: The word 'engaging' is a present participle that describes the action of being involved in management. It fits grammatically as it aligns with the subject 'people' and the verb 'are,' indicating an ongoing action of participation in management activities.

Meaning: 'Engaging' means actively participating or being involved in something.

Wrong options:

• specializing: 'Specializing' refers to focusing on a specific area or skill, which does not fit the context of general involvement in management.
• enhance: 'Enhance' is a verb that means to improve or increase, which does not convey the idea of participation in management.
• far: 'Far' is an adverb indicating distance, which does not relate to the action of being involved in management.
• reported: 'Reported' is a past participle that implies something has been stated or announced, which does not fit the context of active participation.
• organize: 'Organize' is a verb that means to arrange or systematize, which does not convey the idea of being involved in management.

Correct answer: far

Explanation: The word 'far' is an adverb that indicates a significant distance in time or space. In this context, it refers to the historical timeline, suggesting that management principles have been in use for a long time, dating back to ancient civilizations.

Meaning: 'Far' means at a great distance in terms of time or space.

Wrong options:

• engaging: 'Engaging' is a present participle that describes an action, which does not fit the context of indicating a time reference.
• specializing: 'Specializing' refers to focusing on a specific area, which does not relate to the historical context of management practices.
• reported: 'Reported' is a past participle that does not convey a sense of time or distance in this context.
• enhance: 'Enhance' is a verb that means to improve, which does not fit the context of indicating a time reference.
• organize: 'Organize' is a verb that means to arrange, which does not relate to the historical timeline being discussed.

Correct answer: organize

Explanation: The word 'organize' is a verb that fits grammatically as it follows 'to' in the infinitive form. It complements the previous action of planning, indicating that organizations not only plan but also arrange their activities systematically.

Meaning: 'Organize' means to arrange or systematize activities or resources.

Wrong options:

• engaging: 'Engaging' is a present participle that does not fit the context of planning and arranging activities.
• specializing: 'Specializing' refers to focusing on a specific area, which does not relate to the action of arranging activities.
• enhance: 'Enhance' means to improve, which does not fit the context of planning and organizing activities.
• far: 'Far' is an adverb indicating distance, which does not relate to the action of organizing activities.
• reported: 'Reported' is a past participle that does not fit the context of planning and organizing.