Meaning: 'Broaden' means to make something wider or more extensive, in this case, referring to academic knowledge.

Wrong options:

• independence: Independence is a noun and does not fit grammatically in this verb position.
• valuable: Valuable is an adjective and does not fit as a verb in this context.
• partnership: Partnership is a noun and does not fit grammatically as a verb here.
• insights: Insights is a noun and does not fit in the verb position required by the sentence.
• summer: Summer is a noun and does not fit as a verb in this context.
• engaging: Engaging is an adjective and does not fit as a verb in this sentence.

Correct answer: independence

Explanation: The noun 'independence' fits grammatically as it follows 'develops,' which requires a noun. Contextually, it aligns with the personal growth aspect of studying abroad, emphasizing the self-sufficiency gained through the experience.

Meaning: 'Independence' refers to the state of being self-reliant and not dependent on others.

Wrong options:

• broaden: Broaden is a verb and does not fit as a noun in this context.
• valuable: Valuable is an adjective and does not fit as a noun here.
• partnership: Partnership is a noun but does not relate to personal growth in this context.
• insights: Insights is a noun but does not fit the context of personal development.
• summer: Summer is a noun that does not relate to the concept of personal growth or independence.
• engaging: Engaging is an adjective and does not fit as a noun in this context.

Correct answer: partnership

Explanation: The noun 'partnership' fits grammatically as it follows 'by,' which requires a noun to indicate the means by which students gain insights. Contextually, it aligns with the collaboration aspect of engaging with educational systems.

Meaning: 'Partnership' refers to a collaborative relationship between entities, in this case, educational institutions.

Wrong options:

• broaden: Broaden is a verb and does not fit as a noun in this context.
• independence: Independence is a noun but does not relate to the means of gaining insights.
• valuable: Valuable is an adjective and does not fit as a noun here.
• insights: Insights is a noun but does not fit the context of the means of gaining knowledge.
• summer: Summer is a noun that does not relate to the concept of collaboration or partnership.
• engaging: Engaging is an adjective and does not fit as a noun in this context.

Correct answer: engaging

Explanation: The adjective 'engaging' fits grammatically as it describes the noun 'partnerships' implied in the sentence. Contextually, it emphasizes the active and appealing nature of the collaborations with leading universities.

Meaning: 'Engaging' means attracting interest or attention, suggesting that the partnerships are dynamic and beneficial.

Wrong options:

• broaden: Broaden is a verb and does not fit as an adjective in this context.
• independence: Independence is a noun and does not fit as an adjective here.
• valuable: Valuable is an adjective but does not fit the context of describing partnerships in this way.
• partnership: Partnership is a noun and does not fit as an adjective in this context.
• insights: Insights is a noun and does not fit as an adjective here.
• summer: Summer is a noun and does not fit as an adjective in this context.