Who are you? What's your background? Why did you apply to Bond?

If you want to work for McKinsey, Bain or BCG in the UK, the top schools are:
INSEAD
London Business School
Harvard Business School
University of Cambridge
University of Oxford
Wharton
Columbia University
Northwestern University.

You would stand no chance with those firms coming with an MBA from Lancaster or Birmingham, sorry. You need to reset your career goals, or get into a top-tier MBA. No short-cuts.

From Lancaster or Birmingham, you could target MC roles at:
IBM
Deloitte
PwC / PwC Consulting
Ernst & Young
PA Consulting Group
Accenture
KPMG / KPMG Advisory

Thanks Duncan, very useful insight. Could you please name few more business schools in UK which are good to get into consultancy/financial advisory of any of the big 4 firms in UK,

The universities with the most MBA alumni working in UK management consulting for Big Four firms are:
London Business School
Cranfield University
University of Cambridge
University of Warwick
Henley
University of Manchester
INSEAD
University of Oxford
Cass Business School
The Open University
Imperial College London