Actually there is no difference in the interview - fit questions, case interview and questions to the interviewer.
I would recommend you the following algorithm:
1. Start your preparation with reading Case In Point by Cosentino, Casebook of London Business School and Crack the Case by McKinsey for a general understanding of what a consulting interview is.
2. Start learning and practicing the cases. Some you can find in Case Library and practice it with your partner or experience coach.
3. Once you feel you are not improving anymore, I would recommend you to take an expert coach for structured feedback and polishing your own performance.
Also remember to pay your attention and time to fit part, which equally important.
Hope this helps,
Hi Sidi, thank you very much for your insights! I will keep this in mind.