English

The correct modal verb to use in reported speech or indirect questions about possibility in the past or hypothetical situations is 'could'. 'She wondered whether it could be true' is grammatically correct, whereas 'may' is not typically used in this context.

The correct preposition to use with 'cause' in this context is 'of'. The phrase should read 'Darkness was the cause of his losing his way.'

The correct preposition to use with 'reputation' in this context is 'of'. The phrase 'a reputation of being a good teacher' is grammatically correct and commonly used to indicate the quality someone is known for.

The correct preposition to use with 'entrusted' in this context is 'with'. The phrase 'entrusted with the care' is the standard and grammatically correct expression.

The correct preposition used with 'invested' in this context is 'with'. The phrase 'invested with magisterial powers' is the standard and grammatically correct form.

The correct preposition to use with 'dispute' in this context is 'over', which indicates the subject of the disagreement. Therefore, 'They have a dispute over money.' is correct.

The correct preposition to use with 'complains' in this context is 'of'. The phrase 'complains of headache' is standard English usage to indicate the subject is reporting a headache.

Option B, "him being taken on," is correct because after the preposition "to," the object pronoun "him" followed by the gerund "being taken on" is grammatically appropriate. The other options either use incorrect pronoun cases or structures.

The correct preposition to use with 'consistent' in this context is 'with'. The phrase 'consistent with' means that our words should agree or be in harmony with our actions.

The correct preposition to indicate duration of time is 'for'. 'For fifteen years' correctly expresses the length of time served. 'Since' is used with a specific starting point in time, which is not given here.