Can hdmi run 240HZ

[AiMagicBot]

I have 980 ti g1 with hdmi mcable gaming edition and asus rog swift PG258Q monitor. can it run 240hz on 1920x1080 resolution without lags or better use displayport?

 

[Glenwing]

I have 980 ti g1 with dvi-i and HP OMEN 27 Z4D33AA monitor. it can run 165hz on 1440p resolution?

No, DVI has an official maximum of around 60-75 Hz at 1440p.