personality test vs mental test

personality test and mental test both are nouns.

Word	Noun	Adjective	Verb	Adverb
personality test	Yes	No	No	No
mental test	Yes	No	No	No

As nouns, mental test is a hypernym of personality test; that is, mental test is a word with a broader meaning than personality test:

personality test: any test that is intended to assess personality
mental test: any standardized procedure for measuring sensitivity or memory or intelligence or aptitude or personality etc

Other hypernyms of personality test include mental testing, psychometric test, test.

personality test (noun)	mental test (noun)
any test that is intended to assess personality	any standardized procedure for measuring sensitivity or memory or intelligence or aptitude or personality etc