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

Question

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?

Answer 1

1. yes
2. no
3. no
4. yes