MCA

Refer the link below and filter region and fees for exact results:
https://www.shiksha.com/it-software/colleges/mca-colleges-delhi

A normal MCA degree course offered by majority of Universities is of 3 years duration whereas lateral entry MCA course after BCA is of two years duration. You must check with University admission department before seeking admission whether duration. is 2 or 3 years for BCA graduates.

IGNOU is leading and pioneer central university for education by distance learning. It is recommended that you opt for IGNOU for MCA by distance learning.

For MBA, there are a lot of exams like CAT, MAT, XAT, NMAT, SNAP, IBSAT, CMAT, etc.

Try for NIMCET. It is a national level entrance for top NIT colleges.

There is no university, which offers dual degree course MCA and MBA simultaneously. You can do MBA degree after completing MCA to prepare yourself for PreSales, sales and marketing, account management and business analyst roles in IT or ITES industry.

MCA degree holders are most preferred for development roles in Indian industry. Indian IT industry has started showing early sign of decline because of outcry against outsourcing in western countries. But, there are still good opportunities for MCA graduates from top universities. You are advised to pursue MCA from top university for have high probability of job after completing the course.