What strains does the hpv test look for? does everyone over 30 have co testing during their annual? i have the hpv vaccine if my partner has hpv can i still test negative if its a strain that is covered by the vaccine?

Everybody gets HPV, but most HPV infections become silent and undetectable. A negative test means no active infection, but says nothing about possible longstanding, inactive infections. If your partner has HPV, you can safely assume you were exposed and possibly infected. A negative test result cannot say whether you were never infected, or had it but the virus is now inactive.