Instead of going with the conventional approach, let us approach this question differently. This will still be accurate and provide the correct assumptions and statistics as the question demands.
There are 20 IIMs in total and even if all of these institutions have been selecting students for their upcoming batch, the status quo is not more than one-third of the students of a batch of any IIM including IIM Ahmedabad and IIM Bangalore. This is because of factors such as a student’s attitude, previous work experience, and not because of any supply-demand constraints. It is also to be noted that none of the IIMs selects a candidate below 96%ile in CAT.
Out of the total students in a batch at IIM Lucknow, around 150 are fit for consulting roles. Similarly, 100 may be perfect for sales roles and not marketing or any finance roles. Now as we know that 150 students are available for consulting companies, all of these 150 students are made offers by consulting companies visiting the campus and none of the offers gets rejected.
If the richer Investment Banking companies visit the campus, the students will get divided by their preferences as to where to go. But, it was only in the 1990s when Nomura visited the campus of IIM Lucknow making an offer for its global business.
The list of consulting companies visiting IIM Lucknow is as follows: Bain, ATK, BCG, Accenture, McKinsey, Cognizant, HCL, KPMG, E&Y, etc.