Be careful not to disqualify yourself by being too vocal about the types of personalities you don’t harmonise well with. When working on projects you are exposed to many stakeholders with differing personality and traits such as suppliers, clients and team members – and you’ll still be expected to deliver!
A good answer for a project manager could be:
At work I generally get on well with almost everybody. However, occasionally I’ve encountered representatives of suppliers whom are very pushy and aggressive. I always remained professional and took the personality out of the equation and focused on the project deliverable. I found that when the project started to take shape and mutual respect was built they become more amicable.