Meaning: 'Sorts' means different types or kinds, indicating the variety of digital resources available in libraries.

Wrong options:

• signals: 'Signals' refers to indications or signs, which does not fit the context of categorizing resources.
• regards: 'Regards' typically refers to considerations or respects, making it irrelevant in the context of types of resources.
• effects: 'Effects' refers to outcomes or results, which does not align with the idea of categorizing resources.

Correct answer: figure

Explanation: The verb 'figure' is appropriate here as it means to determine or solve, which fits the context of libraries needing to find ways to remain relevant in a digital age.

Meaning: 'Figure' means to work out or understand something, indicating the libraries' need to strategize for relevance.

Wrong options:

• establish: 'Establish' means to set up or create, which does not convey the idea of finding a solution or understanding a problem.
• perceive: 'Perceive' means to become aware of or interpret, which does not fit the context of actively determining a course of action.
• cater: 'Cater' means to provide or supply, which does not convey the idea of figuring out a solution.

Correct answer: which

Explanation: The word 'which' is a relative pronoun that introduces a clause providing additional information about the free access to information, fitting grammatically and contextually.

Meaning: 'Which' is used to introduce a clause that specifies or clarifies something mentioned previously, in this case, the importance of access to information.

Wrong options:

• whose: 'Whose' indicates possession and does not fit the context of providing additional information about access.
• but: 'But' is a conjunction used to contrast ideas, which does not fit the grammatical structure needed here.
• where: 'Where' indicates a place or location, which does not provide the necessary clarification about the access to information.

Correct answer: afford

Explanation: The verb 'afford' is suitable as it means to have enough money to pay for something, which aligns with the context of people being unable to purchase books or internet access.

Meaning: 'Afford' means to have the financial means to buy something, indicating the economic challenges faced by some community members.

Wrong options:

• subscribe: 'Subscribe' means to sign up for a service, which does not fit the context of financial capability regarding books or internet.
• maintain: 'Maintain' means to keep something in good condition, which does not relate to the ability to purchase resources.
• harvest: 'Harvest' refers to gathering crops or resources, which is irrelevant in the context of financial capability.

Correct answer: spot

Explanation: The noun 'spot' is appropriate as it refers to a specific place or location, fitting the context of finding a place to study or read.

Meaning: 'Spot' means a particular place, indicating a quiet area within the library for studying or reading.

Wrong options:

• level: 'Level' refers to a position or rank, which does not fit the context of a physical place for studying.
• season: 'Season' refers to a time of year, which is unrelated to the concept of a location for studying.
• vocation: 'Vocation' refers to a profession or occupation, which does not fit the context of a place for quiet study.