IIM A vs IIM B?

are u leaving google for mba??

Only leave Google for an IIM if you're in the team that manages AdWords for clients (or an equally stagnant role). Otherwise take the Google badge & go abroad for an MBA with better brand recognition.

In most cases the answer is IIMA. IIMB is pretty epic too though. But at IIMB you could miss a few companies at placement that definitely do go to IIMA

You don't need an MBA for Prod man

Highly unlikely to get a better job after your PGDM if you are right now at Google. I would say don't go for either!