This sentence uses the wrong form of "grateful." The correct comparative form of "grateful" is "more grateful. "Gratefulled" is not a word and "gratefully" is an adverb, meaning it describes adjectives and verbs, not nouns (i.e. Hank). The correct choice is "more grateful."

This sentence does not use the correct form of the word "great." It is clear from the context of the sentence that the superlative form is necessary, which could either be "greatest" or "most great." The former is the only available choice, however. The correct choice is, "considered his students the greatest." It is not necessary to add a noun after "greatest" as the adjective can be used as a substantive (to take the place of a noun, implying "greatest (students)").

Since there are eight schools in the Ivy League, the superlative comparison "best" is necessary in this sentence. "Best" would only be correct if Bale were being compared to one other school.

The prepositional phrase "for special needs children" is awkwardly appended to the end of the sentence, making it read as though the subjects "hometown" was "for special needs children," rather than her teaching. The phrase should be moved closer to the mentioning of her career as a teacher, which is only done in the answer choice "she was a schoolteacher for special needs children at a public elementary school in her hometown."

The use of the preposition "for" in this sentence is incorrect, as it is not the common preposition matched with disapproval. The commonly used word is "of," which more properly conveys the connection to disapproval. The only answer choice which makes this change is "they had shown strong disapproval of her choice."

The use of the preposition "since" in this sentence is incorrect, as "since" must only be used to indicate a specific length of time. Because the sentence only indicates a general length of time, the proper preposition is "for." As the only choice to use the right word, the correct answer choice is "but has not been arrested for a long time."

The example sentence includes a preposition error. Prepositions are used to describe relationships of time, space, or logic between parts of a sentence. When a comparison is being made between two things, one thing (in this case the merger) is compared TO another thing (in this case a bloodless coup). "With" is used to describe combinations ("Tommy went to school with Jane), and compliance ("they complied with regulations"). The correct version of this sentence reads, "She compared the merger to a bloodless coup."

The use of the preposition "for" in the sentence is odd, and does not properly reflect what the girls are doing. The preposition should be changed to indicate that they challenged during certain moments. The preposition that best shows this is "at," making the correct answer choice "their father's rules at every opportunity."

Only the preposition “to” can follow the verb “to try.” It isn’t necessary to include the “as well” because “also” means the same thing; the original phrasing is redundant. 

The grammatical error in the underlined portion is the use of the word "with." Comparisons are not done "with" something else, but "to" something else. The correct answer choice is "to the most loving of saints."