The term 'Sulky State' can be broken down into three crossword solutions: PET (3 letters), SNIT (4 letters), and IRE (3 letters). PET is an abbreviation for the word 'PETULANT, ' which means to be easily irritated or annoyed. SNIT is an informal term for a fit of bad temper or anger. IRE is another word for anger or wrath. Taken together, these words describe a state of being that is characterized by irritability, anger, and bad temper.