Talking about government college for MBA, NTPC School of Business is one located in Noida.

It has PGDM course that is executive course for a year costing to Rs 15Lakhs and for it minimum 5 years of work experience is required to be eligible.
Check the details here.
You will have to widen your scope for location to get into good colleges  and also just do not stick to one exam.
Some of the government colleges in Delhi for management are:

• IPU
• IIFT
• FMS
• DTU

Rest list you can even check from here: Govt. colleges for MBA in Delhi

Give various entrances like CAT, XAT, MAT, NMAT etc. to widen your colleges and admission scope in management.

Good luck!