The word "alleged" is modifying the word "made," a verb, which needs an adverb to modify it. The adverb form of "alleged" is "allegedly," which makes the correct answer "allegedly made."

The example sentence incorrectly uses an adjective where an adverb is needed. "Bitter", in this context, modifies the verb "was," and therefore should be replaced by the adverb "bitterly." If the cold were being used as a noun, then the adjective form of "bitter" would be appropriate—for example, "We were wrapped in a bitter cold." The correct version of the example reads, "We had a terrible time at the football game. It was bitterly cold."

The use of the word "usual" in the sentence is incorrect, as it describes the verb "took," which means it needs to take an adverb form. The only answer choice with the correct form that also keeps the intended meaning of the sentence is "The old man usually took."

The word "increasing" in the sentence is used to describe the verb phrase "being delayed." Even though these words are not the verb in the sentence, they still need an adverb form to describe them. The correct answer is "Marriages are increasingly being delayed."

This sentence contains a misuse of an adverb. The word "quickly" is meant to describe the noun "response," but adverbs cannot describe nouns. What is needed here is the adjective form of the word, which is "quick." The proper choice is, "Ahmed was known for his quick." 

The word "fast" is supposed to modify the word "built." Adverbs modify verbs, but "fast" is an adjective. The correct choice is "quickly" (fastly is not a word). While "with speed," is technically also correct, it adds another word, which makes it less concise. The correct choice is, "Jenny built programs quickly."

This sentence contains a modifier error. The word "rapid" is supposed to modify the word "are changing," but rapid is an adjective, which only modify nouns and pronouns. What is needed here is an adverb: a word that describes verbs and adjectives. The correct word would be "rapidly." The correct choice provided below is, "The Internet and texting are rapidly changing."

When a comparison is made, "better" should only be used for a comparison of two individuals, while "best" is the appropriate superlative for comparisons involving three or more individuals. This means that in this sentence, "better" should be changed to "best." The correct answer is the only answer choice that makes this change: "by far the best of the five."

The original sentence uses the superlative "tallest" when the comparative "taller" is correct. One can only be "tallest" among a group of three or more. Furthermore, the size of the group determines whether "between" or "among" is correct. "Between" is appropriate for a small group of specific objects. Compare "between New York and Pennsylvania" and "among the states of the union."

In this sentence "Out of all the possible outcomes" sets up the use of the superlative by suggesting that there are more than two possible outcomes, and that bankruptcy was the single worst of these many options. The correct answer is thus, "Of all the possible outcomes, bankruptcy was certainly the worst."

Unless it is explicitly stated that there were only two possible outcomes, it is incorrect to use "worse," which is a comparative adjective and would only be used if it was specifically stated that the comparison was being made between two outcomes.