The insertion of "only" at the beginning of the sentence creates confusion as to exactly what it is modifying. The word should be moved to make it clear it is modifying "time," which is the way the sentence makes the most sense. Therefore, the correct answer choice is "The only time that will work."

The placement of "exactly" in the sentence is confusing, as placing it after "like" makes it seem as though the manner was almost exactly or kind of exactly. By placing "exactly" after "was," the comparison between the two manners of speech is more clear, making the correct answer "His manner of speech was exactly like his grandfather's."

The word "merely" is dangling in the middle of the sentence, seemingly modifying nothing and making little sense in the sentence. The word should be moved to indicate a clearer usage of the adverb. The place where the word makes most sense is between "information" and "confused," so it is clear that it is modifying the verb "confused."

The placement of "barely" in the sentence is extremely odd, as it seems to imply that the subject only lightly pushed, but still got the stone "five yards." The word "barely" needs to be moved to clarify that the stone "barely" made the distance. Thus, "He pushed the stone barely five yards," is the correct answer choice.

The use of "Only" at the beginning of the sentence is strange and confusing, making it unclear what it is modifying. The construction of the rest of the sentence means the word should modify "issue" directly. "The only issue that mattered" is the answer choice that correctly deploys the adjective.

The placement of "barely" in the sentence as confusing, as it modifies "dug" and makes the sentence read that the team was not digging very much. The meaning of the sentence is more clear if "barely" modifies the "two feet" to show how little was actually done. The answer choice that correctly deploys "barely" is "the team had dug barely two feet into the hard ground."

The adverb "actually" is stuck in a place in the sentence where it is unclear what verb it is supposed to be modifying. An adverb like "actually" modifies verbs, and should be placed directly next to the word it modifies. The only answer choice that places the adverb next to a verb is "The vogue for mixed breed dogs actually helps to improve the health of canines overall."

The insertion of "still" between "highly" and "idealistic" is awkward, as "highly" should directly modify "idealistic." The word order of the sentence should be modified, so that "still" is placed before "highly." "The young attorney was still highly idealistic" is therefore the correct answer choice.

The use of "only" to modify "young girl" is confusing, and makes the sentence unclear. If the word "only" is shifted, it can more clearly show that the "young girl" was "interested" in math and little else "among her required school subjects." The answer choice which most clearly uses "only" is "The young girl was only interested in math among her required school subjects."

The use of the word "only" is incorrect in this sentence, as the second part of the sentence makes it clear that the subjects read "only" the individual's author's work. The sentence is written to make it seem like the subjects are the only people reading the author's work. "They read only the author's books" is the answer choice that best fixes the problem.