1) The sun had nearly set when we reached home. Adverb qualify adverb

2) Modern trains can travel incredibly fast. - adverbs qualify adjective
3) The judges were utterly amazed at the performance.- Adverb qualify adjective
4) The bitterly cold winds have killed all the flowers.- Adverb qualify adjective

Are the above adverbs of degrees are correct?

1. yes

2. no
3. no
4. yes

Yes, the adverbs of degree in the given sentences are correct. Adverbs of degree are used to modify adjectives or other adverbs to indicate the intensity, extent, or degree of an action or a state.

In the first sentence, "nearly" is an adverb of degree that modifies the adverb "set" to indicate the degree to which the sun had set.

In the second sentence, "incredibly" is an adverb of degree that modifies the adjective "fast" to indicate the extent or degree to which modern trains can travel.

In the third sentence, "utterly" is an adverb of degree that modifies the adjective "amazed" to indicate the intensity or degree of amazement felt by the judges.

In the fourth sentence, "bitterly" is an adverb of degree that modifies the adjective "cold" to indicate the intensity or degree of coldness of the winds.

To identify adverbs of degree, you can look for words that modify adjectives or other adverbs by indicating the degree, extent, or intensity of the action or state described. Adverbs of degree often end in "-ly," but not all adverbs ending in "-ly" are adverbs of degree. It is important to consider the context and the word being modified to determine their proper usage.