Hello, welcome to FT!
This question is asked frequently in this forum (BOM transit visa).
For example here is a thread that addresses your issue:
http://www.flyertalk.com/forum/airli...-question.html
To answer your question,You should be able to transit BOM without a visa based on the itinerary you mentioned.
You will be able to connect airside.
Please see this thread for connection related questions:
http://www.flyertalk.com/forum/airli...-airports.html