Hi Aryan. The profile related peaks that people talk about in consulting are:
4 broad areas: Academics, Positions of Responsibility, Extra curricular, etc
Types of Consultancy:
Strategy Consultant.
Management Consultant.
Operations Consultant.
Financial Advisory Consultant.
Human Resource Consultant.
IT Consultant.
The spikes that people talk about in the consulting world mainly lie in 4 broad areas: Academics, Positions of Responsibility, Extra curricular, Sports(national level/ state level). If you have done exceptionally well in any of the above mentioned areas, it creates a very positive impact on the resume.
The spikes that MBBs/Big 4s and other consulting firms look for in a resume could be a stellar academic GPA, exceptions work experience (full time or internships, depending on your age) and your leadership/extra-curricular achievements. Goes without saying that if you went to an IIT/IIM, it would add a lot of impact on your application.