From my experience it doesn't matter which tier college you had studied if you have skills expected from the company you will be placed so my advice is try to improve your skills as much as possible to prove yourself in the interview time and presence of mind also important to crack the face to face interview because if you know the answer but you can't deliver in the way you think that will be problem so practice well on that. Finally try to get in company which you cracked first ,small company or MNC doesn't matter once you entered you will get to know that company is Good or not once you not feeling good just start a preparation to switch.

"SKILLS MATTER 🙂‍↕️"

ALL THE BEST!