payroll check vs bank check

payroll check and bank check both are nouns.

Word	Noun	Adjective	Verb	Adverb
payroll check	Yes	No	No	No
bank check	Yes	No	No	No

As nouns, bank check is a hypernym of payroll check; that is, bank check is a word with a broader meaning than payroll check:

Other hypernyms of payroll check include check, cheque.

payroll check (noun)	bank check (noun)
a check issued in payment of wages or salary	a written order directing a bank to pay money