Mumbai though is the Business Capital of India it doesn’t have any IIM’s ! Yes but it does have an IIT.
Here is a list of few MBA Colleges in Mumbai :

Jamnalal Bajaj Institute of Management, Mumbai
Address : Jamnalal Bajaj Institue of Management StudiesBackbay Reclamation, Mumbai, India. Pin – 400020
Contact No : +91 – 022 – [...]

Here is a list of Top 10 Engineering Colleges in India.
 

Rank
Best Colleges.

1
Indian Institute of Technology – IIT- Kanpur

2
Indian Institute of Technology IIT- Delhi

3
Indian Institute of Technology IIT- Madras

4
Indian Institute of Technology IIT-Bombay

5
Indian Institute of Technology IIT- Kharagpur

6
Indian Institute of Technology IIT- Roorkee

7
Indian Institute of Technology IIT- [...]

Here is a list of Top 35 Government Engineering Colleges in India. This list is based on Outlook India Ranking.
 
 

Rank
Name of Institute& City

1
IIT Kharagpur

2
IIT Kanpur

3
IIT Delhi

4
IIT Mumbai

5
IIT Chennai

6
IIT Roorkee

7
College of Engineering, Anna Univ. Chennai

8
IT, BHU Varanasi

9
IIT Guwahati

10
ISM University Dhanbad

11
NIT Warangal

12
NIT Trichy

13
Motilal Nehru National Institute of Technology Allahabad

14
NIT Surathkal

15
Punjab Engineering College Chandigarh

16
Delhi College [...]

Here is a list of Top 35 Private Engineering Colleges in India. This list is based on Outlook India Ranking.
(Note * Data is based on outlook survey 07 -08)

Sr. No.
Name of Institute & City

1
BITS Pilani

2
PSG College of Technology Coimbatore

3
BIT, Mesra Ranchi

4
Thapar University Patiala

5
VIT University Vellore

6
Manipal Inst. of Technology Manipal

7
Dhirubhai Ambani [...]