For what purpose? there are several kinds of integrity and Psycological tests separately for job education,mental health etc etc. Whats your purpose?
if these are for a job interview then I have been through these. For Integrity tests they will test you Profeciency and Attainment I.e your competence in particular job related tasks. Plus the Psychometric tests which measure the Psycological factors such as intelligence and personality.
You must be going for a Top notch company If the above testing is being done
. congrats!