No you will not have any problems during your placements at IIT Bombay. You just need to clear the minimum eligibility requirements of B.Tech marks. Which is generally 65-70% in top companies like google. Just maintain good marks in M.Tech, you b.tech marks won't affect your placement. And in IIT placements ability is tested more than marks.
See first of all i would tell you a bitter truth.
No college and branch guarantee 100% placement and moreover placement stats in IIT are falling year by year.
But still most top rankers go for IIT Bombay CSE and many of them go abroad for cs.
But still IIT bombay cse has the best average package till date if you compare it with any other college offering the same course.
So don't worry everything depends on your skill not your college or your branch, but these factors definitely help you very much in getting a good placement. And since you have got into IIT bombay cse it's obvious that you have studied hard and are dedicated towards what you dream so just be like this and success will come.
Hope it works and feel free to ask in case of further doubts.
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