bad news vs disagreeable

bad news

noun
  • An irritating, troublesome or harmful person, situation or thing. 

  • News of unpleasant, unfortunate or sad events. 

disagreeable

noun
  • Something or someone displeasing; anything that is disagreeable. 

adj
  • Causing repugnance; unpleasant to the feelings or senses; displeasing. 

How often have the words bad news and disagreeable occurred in a corpus of books? (source: Google Ngram Viewer )