✅ The correct answer is B) 'their'. According to the rule of antecedent agreement for "neither...nor" constructions, the pronoun should agree in number with the antecedent closest to it.

✅ In this sentence, "the postgraduate students" is the plural antecedent positioned immediately before the blank, making "their" the appropriate plural possessive pronoun.

❌ Option A) 'his or her' is incorrect because it is a singular pronoun, and the closest antecedent, "the postgraduate students," is plural.

❌ Option C) 'its' is incorrect as it is a singular possessive pronoun typically used for non-human entities or collective nouns treated as a single unit, which does not apply to human researchers or students.

❌ Option D) 'one's' is incorrect because it is an indefinite singular possessive pronoun and does not establish specific agreement with the identified antecedents in this context.

✅ The true antecedent of the pronoun is "The executive board." The phrase "along with the CEO" is a parenthetical addition and does not change the number of the main subject. "Board" is a collective noun, and when it acts as a single, unified entity (making "its decision"), it takes a singular, neuter possessive pronoun, which is "its."

❌ "Their" is a plural possessive pronoun. While a board consists of multiple members, the sentence implies the board is acting as a single, cohesive unit in making a unified decision, not as individuals with separate decisions.

❌ "His or her" is a singular possessive pronoun typically used for a single person of unspecified gender. "The executive board" is an entity or a group acting as one, not a single individual, making "its" the more appropriate gender-neutral pronoun for the collective noun.

❌ "Our" is a first-person plural possessive pronoun. The sentence is written in the third person, referring to "the executive board," not by someone who is part of the board.

✅ The first blank requires "its" because "the research team" is acting as a singular, cohesive unit when submitting *one* proposal.

✅ The second blank requires "their" because "a few of ____ members" refers to individual members of the team acting separately by expressing doubts, thus requiring a plural pronoun.

❌ Option A is incorrect because the second "its" incorrectly refers to individual members as a singular entity when they are acting separately.

❌ Option B is incorrect because the first "their" misrepresents the team as acting individually when submitting a single proposal; the second "their" is correct in isolation.

❌ Option D is incorrect because the first "their" is wrong (team acting as a unit) and the second "its" is wrong (referring to individual members).

✅ The antecedent for the possessive pronoun is "coalition," which is a singular collective noun.

When a collective noun like "coalition" acts as a single, unified entity (as indicated by "collectively endorsed"), it takes a singular pronoun.

Therefore, the singular possessive pronoun "its" is correctly used to agree with "coalition."

❌ Option B, "their," is incorrect because it is a plural possessive pronoun and does not agree with the singular collective noun "coalition," even though the coalition is composed of multiple groups.

❌ Option C, "its'," is grammatically incorrect; the possessive form of "it" is "its," without an apostrophe.

❌ Option D, "their's," is also grammatically incorrect; the possessive form of "they" is "theirs," without an apostrophe.

✅ In sentences structured as "one of those [plural noun] who [verb]...", the relative pronoun "who" refers to the preceding plural noun (in this case, "musicians"), not "one". Therefore, the verb that follows "who" ("captivate") and any subsequent pronouns referring to "who's" antecedent ("their") must agree in number with the plural noun "musicians". Both "captivate" and both instances of "their" correctly agree with "musicians".

❌ Option A is incorrect because "who" refers to "scholars" (plural), so the possessive pronoun should be "their" (plural) instead of "her" (singular).

❌ Option B is incorrect because "jury" is a collective noun acting as a single, cohesive unit when reaching one verdict. Therefore, the singular possessive pronoun "its" should be used instead of "their."

❌ Option C is incorrect because in a "neither...nor" construction, the pronoun agrees with the antecedent closer to it. "Team leads" is plural, so the pronoun should be "their" instead of "his or her."