HI,

IF you dont want to appear for cat and mat ,you can write state level exam JEMAT 

some of the MBA Colleges accepting JEMAT in West Bengal(kolkata)

CBS - Calcutta Business School

NSHM Knowledge Campus, Kolkata

Sister Nivedita University

University of Engineering and Management, Kolkata

MAKAUT - Maulana Abul Kalam Azad University of Technology Salt Lake City, Kolkata

FIEM - Future Institute of Engineering & Management

CIEM - Calcutta Institute Of Engineering & Management

NIT - Narula Institute of Technology

GBS - Globsyn Business School

SIT - Siliguri Institute of Technology

IEM - Institute of Engineering & Management

Calcutta University

Bharatiya Vidya Bhavan Institute of Management Scien

FBS - Future Business School

Swami Vivekananda Institute of Management & Computer

IBMR - Institute of Business Management & Research ETC

You can go for direct admission ,if you didnt score good in the entrance exam

GOOD LUCK